Cited by 1,527Cold Atom Physics and Bose-Einstein CondensatesQuantum many-body systemsQuantum Mechanics and Applications

The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.

Quantum simulations with ultracold atoms in optical lattices

Gross, Christian, Bloch, Immanuel·2017·Science

DOI 10.1126/science.aal3837

Open this paper in CoChat — free account

Abstract

Quantum simulation, a subdiscipline of quantum computation, can provide valuable insight into difficult quantum problems in physics or chemistry. Ultracold atoms in optical lattices represent an ideal platform for simulations of quantum many-body problems. Within this setting, quantum gas microscopes enable single atom observation and manipulation in large samples. Ultracold atom-based quantum simulators have already been used to probe quantum magnetism, to realize and detect topological quantum matter, and to study quantum systems with controlled long-range interactions. Experiments on many-body systems out of equilibrium have also provided results in regimes unavailable to the most advanced supercomputers. We review recent experimental progress in this field and comment on future directions.

Integrity signals

Registry

Crossref · 10.1126/science.aal3837

Cites

0 citation errors · 0 not checkable

Statistics

Recomputing p-values needs the paper’s full text.

Claims the paper makes

This paper’s full text isn’t openly available, so its claims and self-check weren’t run. The registry and citation checks still apply.

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

Topological insulators and superconductors
Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
Thouless, D. J., Kohmoto, M., Nightingale, M. P., & den Nijs, M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.405 · Cited by 6,973
Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
Greiner, M., Mandel, O., Esslinger, T., Hänsch, T. W., & Bloch, I. (2002) · Nature · doi:10.1038/415039a · Cited by 5,935
Self-citation
Quantum simulation
Georgescu, I. M., Ashhab, S., & Nori, F. (2014) · Reviews of Modern Physics · doi:10.1103/revmodphys.86.153 · Cited by 2,932
Quantum simulations with ultracold quantum gases
Bloch, I., Dalibard, J., & Nascimbène, S. (2012) · Nature Physics · doi:10.1038/nphys2259 · Cited by 2,339
Self-citation
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104
Exploring the many-body localization transition in two dimensions
Choi, J.-Y., Hild, S., Zeiher, J., Schauß, P., Rubio-Abadal, A., Yefsah, T., Khemani, V., Huse, D. A., Bloch, I., & Gross, C. (2016) · Science · doi:10.1126/science.aaf8834 · Cited by 979
Self-citation
The cold atom Hubbard toolbox
Jaksch, D., & Zoller, P. (2005) · Annals of Physics · doi:10.1016/j.aop.2004.09.010 · Cited by 976
Atom-by-atom assembly of defect-free one-dimensional cold atom arrays
Endres, M., Bernien, H., Keesling, A., Levine, H., Anschuetz, E. R., Krajenbrink, A., Senko, C., Vuletic, V., Greiner, M., & Lukin, M. D. (2016) · Science · doi:10.1126/science.aah3752 · Cited by 863
Creation of effective magnetic fields in optical lattices: the Hofstadter butterfly for cold neutral atoms
Jaksch, D., & Zoller, P. (2003) · New Journal of Physics · doi:10.1088/1367-2630/5/1/356 · Cited by 777

Show all 0 references

Research works printed but not linked: 144

10.1103/RevModPhys.80.885 · DOI · Paper page
10.1103/PhysRevLett.89.220407 · DOI
10.1103/RevModPhys.78.17 · DOI
10.1016/j.aop.2009.02.004 · DOI
10.1103/RevModPhys.83.863 · DOI · Paper page
W. Zwerger The BCS-BEC Crossover and the Unitary Fermi Gas (Springer 2012). · DOI
10.1016/S1049-250X(08)60186-X · DOI
10.1038/nphys3803 · DOI
10.1038/nphys2739 · DOI
10.1126/science.1257026 · DOI
10.1126/science.aaf6725 · DOI
10.1146/annurev-conmatphys-031214-014726 · DOI
10.1146/annurev-conmatphys-031214-014701 · DOI
10.1038/nature08482 · DOI
10.1038/nature09378 · DOI
10.1038/nphys645 · DOI
10.1103/PhysRevLett.102.053001 · DOI
10.1038/nature08244 · DOI
10.1038/nphys1102 · DOI
10.1038/nature09827 · DOI
10.1038/nphys2561 · DOI
10.1364/OE.24.013881 · DOI
10.1126/science.1192368 · DOI · Paper page
10.1126/science.1209284 · DOI
10.1103/PhysRevLett.114.193001 · DOI
10.1038/nphys3403 · DOI
10.1103/PhysRevLett.114.213002 · DOI
10.1103/PhysRevLett.115.263001 · DOI
10.1103/PhysRevA.92.063406 · DOI
10.1103/PhysRevA.91.041602 · DOI
10.1126/science.aag1635 · DOI · Paper page
10.1126/science.aam8990 · DOI
10.1103/PhysRevA.91.063414 · DOI
10.1088/1367-2630/18/2/023016 · DOI
10.1038/nphys1857 · DOI
10.1103/PhysRevB.84.174522 · DOI
10.1103/PhysRevLett.109.010401 · DOI
10.1103/PhysRevB.86.054508 · DOI
10.1038/nature11255 · DOI
10.1146/annurev-conmatphys-031214-014350 · DOI
10.1038/nphys3227 · DOI
10.1038/nphys4077 · DOI
10.1038/nature21067 · DOI
J. Léonard A. Morales P. Zupancic T. Esslinger T. Donner Monitoring and manipulating Higgs and Goldstone modes in a supersolid quantum gas. arXiv:1704.05803 (2017). · DOI
10.1126/science.1207239 · DOI · Paper page
10.1038/nphys2750 · DOI
10.1038/nature09994 · DOI · Paper page
10.1103/PhysRevLett.111.053003 · DOI
10.1126/science.1248402 · DOI
10.1103/PhysRevLett.90.100401 · DOI
10.1103/PhysRevLett.91.090402 · DOI
10.1088/1367-2630/5/1/376 · DOI
10.1126/science.1150841 · DOI · Paper page
10.1103/PhysRevLett.108.205301 · DOI
10.1103/PhysRevLett.115.035302 · DOI
10.1038/nature12541 · DOI
10.1103/PhysRevLett.113.147205 · DOI
10.1126/science.aaa1385 · DOI
10.1002/andp.201700169 · DOI
10.1080/00018732.2016.1198134 · DOI
10.1103/PhysRev.109.1492 · DOI · Paper page
10.1016/j.aop.2005.11.014 · DOI
10.1126/science.aaa7432 · DOI
10.1103/PhysRevLett.114.083002 · DOI
10.1103/PhysRevLett.116.140401 · DOI
10.1038/nphys3783 · DOI
10.1146/annurev-conmatphys-070909-104059 · DOI
10.1103/RevModPhys.82.1225 · DOI
10.1038/nature07244 · DOI
10.1126/science.1165449 · DOI
10.1103/PhysRevLett.116.175301 · DOI
10.1103/PhysRevLett.117.135301 · DOI
10.1126/science.1236362 · DOI
10.1103/PhysRevLett.115.260401 · DOI
10.1038/nature14223 · DOI
10.1103/PhysRevLett.116.235301 · DOI
10.1126/science.aad9041 · DOI
10.1126/science.aag1430 · DOI · Paper page
10.1126/science.aag3349 · DOI · Paper page
10.1103/PhysRevLett.118.170401 · DOI
P. T. Brown D. Mitra E. Guardado-Sanchez P. Schauß S. S. Kondov E. Khatami T. Paiva N. Trivedi D. A. Huse W. S. Bakr Observation of canted antiferromagnetism with ultracold fermions in an optical lattice. arXiv:1612.07746 (2016). · arXiv
10.1073/pnas.0809862105 · DOI
10.1103/PhysRevA.79.061601 · DOI
10.1038/nature22362 · DOI
S. M. Girvin The Quantum Hall Effect: Novel Excitations and Broken Symmetries (Springer 1999).
10.1103/RevModPhys.82.3045 · DOI · Paper page
10.1103/PhysRev.115.485 · DOI · Paper page
10.1088/1367-2630/12/3/033007 · DOI
10.1103/PhysRevB.79.081406 · DOI · Paper page
10.1038/nature13915 · DOI · Paper page
10.1103/PhysRevLett.111.185301 · DOI
10.1103/PhysRevLett.111.185302 · DOI · Paper page
10.1016/0375-9601(83)90631-X · DOI
10.1103/RevModPhys.82.1959 · DOI · Paper page
10.1126/science.1259052 · DOI
10.1126/science.aad4568 · DOI · Paper page
10.1038/nphys3171 · DOI
10.1103/PhysRevB.27.6083 · DOI · Paper page
10.1038/nphys3584 · DOI
10.1038/nphys3622 · DOI · Paper page
10.1103/PhysRevLett.116.200402 · DOI
10.1103/PhysRevLett.112.043001 · DOI
10.1126/science.aaa8736 · DOI
10.1126/science.aaa8515 · DOI
10.1088/0034-4885/72/12/126401 · DOI
10.1021/cr2003568 · DOI
10.1103/PhysRevA.90.063622 · DOI
10.1103/PhysRevLett.114.173002 · DOI
10.1103/PhysRevLett.114.243002 · DOI
10.1103/PhysRevLett.97.260401 · DOI
A. W. Glaetzle, M. Dalmonte, R. Nath, I. Rousochatzakis, R. Moessner, P. Zoller, Quantum spin-ice and dimer models with Rydberg atoms. Phys. Rev. X 4, 041037 (2014). 10.1103/PhysRevX.4.041037 · DOI
10.1103/PhysRevLett.94.160401 · DOI
10.1103/PhysRevLett.107.190401 · DOI
10.1103/PhysRevLett.108.210401 · DOI
10.1126/science.aac9812 · DOI
10.1103/PhysRevLett.111.185305 · DOI
10.1126/science.1163861 · DOI
10.1126/science.1159909 · DOI
10.1103/PhysRevLett.101.133004 · DOI
10.1038/nature12483 · DOI
10.1103/RevModPhys.82.2313 · DOI
10.1103/PhysRevLett.85.2208 · DOI · Paper page
10.1103/PhysRevLett.87.037901 · DOI
10.1038/nature11596 · DOI
10.1126/science.1258351 · DOI
10.1103/PhysRevLett.85.1791 · DOI
10.1103/PhysRevA.65.041803 · DOI
10.1103/PhysRevLett.104.223002 · DOI
10.1103/PhysRevLett.104.195302 · DOI
10.1103/PhysRevLett.105.160404 · DOI
10.1103/PhysRevA.82.033412 · DOI
10.1088/1367-2630/16/6/063012 · DOI
10.1103/PhysRevLett.116.113001 · DOI
10.1103/PhysRevA.93.043425 · DOI
10.1038/nphys3835 · DOI
J. Zeiher J.-y. Choi A. Rubio-Abadal T. Pohl R. van Bijnen I. Bloch C. Gross Coherent many-body spin dynamics in a long-range interacting Ising chain. arXiv:1705.08372 (2017). · DOI
10.1007/s11128-011-0297-z · DOI
F. Nogrette, H. Labuhn, S. Ravets, D. Barredo, L. Béguin, A. Vernier, T. Lahaye, A. Browaeys, Single-atom trapping in holographic 2D arrays of microtraps with arbitrary geometries. Phys. Rev. X 4, 021034 (2014). 10.1103/PhysRevX.4.021034 · DOI · Paper page
10.1103/PhysRevLett.114.113002 · DOI
10.1038/nature18274 · DOI
10.1038/nphys1778 · DOI
10.1103/PhysRevLett.115.073003 · DOI
10.1126/science.aah3778 · DOI
M. Aidelsburger thesis Ludwig-Maximilians-Universität (2015).

Sorted by citations

Items 601–700 of 1,001

Long-range quantum tunneling via matter waves
Yang, Y.-X., Bai, S., & An, J. (2025) · Communications Physics · doi:10.1038/s42005-024-01924-y · Cited by 6
“Supplying insightful instruction to realize controllable long-range tunneling, our result is helpful not only to simulating many-body physics with long-range orders 58,73 , but also to designing quantum-tunneling 74 and -interconnect 71,75 devices.”
Engineering 2D square lattice Hubbard models in 90$^\circ$ twisted Ge/SnX (X=S, Se) moir\'e supperlattices
Xu, Q.-L., Fischer, A., Tancogne-Dejean, N., Zhang, T., Bostrom, E., Claassen, M., Kennes, D., Rubio, A., & Xian, L. (2024) · doi:10.48550/arxiv.2406.05626 · Cited by 8
Emergent mobility edges and intermediate phases in one-dimensional quasiperiodic plasmonic chains
Hu, Y., Yan, K., & Chen, X. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.013322 · Cited by 7
Open quantum system approaches to superconducting qubits
Naeij, H. R. (2025) · Quantum Information Processing · doi:10.1007/s11128-025-04838-y · Cited by 7
“In recent years, scientists have made major advancements in developing quantum computers using different physical implementations of qubits, including cavity quantum electrodynamics [10], trapped ions [11], NMR [12], ultracold atoms [13], quantum dots [14] and nitrogen vacancies in diamonds [15].”
Quantum phases of hardcore bosons with repulsive dipolar density-density interactions on two-dimensional lattices
Koziol, J. A., Morigi, G., & Schmidt, K. P. (2024) · SciPost Physics · doi:10.21468/scipostphys.17.4.111 · Cited by 10
All product eigenstates in Heisenberg models from a graphical construction
Gerken, F., Ingo Runkel, B., Christoph Schweigert, B., & Posske, T. (2025) · Physical Review Research · doi:10.1103/physrevresearch.7.l012008 · Cited by 8
Going beyond gadgets: the importance of scalability for analogue quantum simulators
Harley, D., Datta, I., Klausen, F. R., Blühm, A., França, D. S., Werner, A. H., & Christandl, M. (2024) · Nature Communications · doi:10.1038/s41467-024-50744-9 · Cited by 8
Quantum electronic circuits for multicritical Ising models
Roy, A. (2023) · Physical review B · doi:10.1103/physrevb.108.235414 · Cited by 8
Phase diagram of the ionic Hubbard model with density-dependent hopping
Roura-Bas, P., & Aligia, A. (2023) · Physical review B · doi:10.1103/physrevb.108.115132 · Cited by 8
Instabilities of interacting matter waves in optical lattices with Floquet driving
Carli, A. D., Cruickshank, R., Mitchell, M., Rooij, A. L., Kuhr, S., Creffield, C., & Haller, E. (2023) · Physical Review Research · doi:10.1103/physrevresearch.5.033024 · Cited by 8
“Ultracold quantum gases in optical lattices have emerged as a powerful experimental platform for investigating novel quantum phenomena [1, 2].”
Background
Order by disorder and an emergent Kosterlitz-Thouless phase in a triangular Rydberg array
Guo, S., Huang, J., Hu, J., & Li, Z. (2023) · Physical Review A · doi:10.1103/physreva.108.053314 · Cited by 9
Optimizing Optical Potentials With Physics-Inspired Learning Algorithms
Calzavara, M., Kuriatnikov, Y., Deutschmann‐Olek, A., Motzoi, F., Erne, S., Kugi, A., Calarco, T., Schmiedmayer, J., & Prufer, M. (2022) · Physical Review Applied · doi:10.1103/physrevapplied.19.044090 · Cited by 8
“The precise control and manipulation of light fields are required for many diverse areas of research ranging from microscopy [1] to quantum simulators [2].”
Background
Accumulative reservoir construction: Bridging continuously relaxed and periodically refreshed extended reservoirs
Wójtowicz, G., Purkayastha, A., Zwolak, M., & Rams, M. M. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.107.035150 · Cited by 11
Neural-network quantum states for a two-leg Bose-Hubbard ladder under magnetic flux
Çeven, K., Oktel, M. Ö., & Keleş, A. (2022) · Physical Review A · doi:10.1103/physreva.106.063320 · Cited by 14
“Quantum simulation emerged as a powerful tool not only to realize long-sought practical technologies related to quantum information and quantum computation but also to study strongly correlated quantum matter [1, 2].”
Quantum transport on honeycomb networks
Batalha, G. M., Volta, A., Strunz, W. T., & Galiceanu, M. D. (2022) · Scientific Reports · doi:10.1038/s41598-022-10537-w · Cited by 9
Suppression of Interband Heating for Random Driving.
Zhao, H.-Z., Knolle, J., Moessner, R., & Mintert, F. (2022) · Physical Review Letters · doi:10.1103/physrevlett.129.120605 · Cited by 8
Anomalous random multipolar driven insulators
Zhao, H.-Z., Rudner, M., Moessner, R., & Knolle, J. (2022) · Physical review B · doi:10.1103/physrevb.105.245119 · Cited by 8
Quantum phases of dipolar bosons in one-dimensional optical lattices
Kraus, R., Chanda, T., Zakrzewski, J., & Morigi, G. (2021) · Physical review B · doi:10.1103/physrevb.106.035144 · Cited by 8
Dynamics of the order parameter statistics in the long range Ising model
Ranabhat, N., & Collura, M. (2022) · SciPost Physics · doi:10.21468/scipostphys.12.4.126 · Cited by 21
Quantum Gutzwiller approach for the two-component Bose-Hubbard model
Colussi, V. E., Caleffi, F., Menotti, C., & Recati, A. (2022) · SciPost Physics · doi:10.21468/scipostphys.12.3.111 · Cited by 24
Generation of optical potentials for ultracold atoms using a superluminescent diode
Smith, A., Easton, T., Guarrera, V., & Barontini, G. (2021) · Physical Review Research · doi:10.1103/physrevresearch.3.033241 · Cited by 8
“Such a combination allows one to precisely address atomic transitions with one or more photons, implement atoms traps with a large variety of shapes, produce optical lattices and dynamical potentials, and even address and manipulate single atoms [12, 13].”
Background
Distinguishing an Anderson insulator from a many-body localized phase through space-time snapshots with neural networks
Kotthoff, F., Pollmann, F., & Tomasi, G. D. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.104.224307 · Cited by 16
Higher-order topological quantum paramagnets
González-Cuadra, D. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.105.l020403 · Cited by 10
Simulating the Same Physics with Two Distinct Hamiltonians
Gietka, K., Usui, A., Deng, J., & Busch, T. (2021) · Physical Review Letters · doi:10.1103/physrevlett.126.160402 · Cited by 14
Eigenstate fluctuation theorem in the short- and long-time regimes
Iyoda, E., Kaneko, K., & Sagawa, T. (2022) · Physical review. E · doi:10.1103/physreve.105.044106 · Cited by 8
Remote multi-user control of the production of Bose–Einstein condensates
Laustsen, J. S., Heck, R., Elíasson, O., Arlt, J., Sherson, J., & Weidner, C. (2021) · Applied physics B · doi:10.1007/s00340-021-07671-0 · Cited by 8
Ultracold Bose mixtures with spin-dependent fermion-mediated interactions
Liao, R. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.043218 · Cited by 9
Topological insulators and geometry of vector bundles
Sergeev, A. S. (2023) · SciPost Physics Lecture Notes · doi:10.21468/scipostphyslectnotes.67 · Cited by 8
Measuring entanglement of a rank-2 mixed state prepared on a quantum computer
Kuzmak, A. R., & Tkachuk, V. M. (2021) · The European Physical Journal Plus · doi:10.1140/epjp/s13360-021-01553-2 · Cited by 12
Quantum transport on generalized scale-free networks
Maciel, C. M., Mendes, C. F. O., Strunz, W. T., & Galiceanu, M. D. (2020) · Physical Review A · doi:10.1103/physreva.102.032219 · Cited by 11
Novel repumping on 3P0 → 3D1 for Sr magneto-optical trap and Landé g factor measurement of 3D1
Zhang, S., Ramchurn, P., Menchetti, M., Ubaid, Q. H., Jones, J. M., Bongs, K., & Singh, Y. (2020) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/1361-6455/abbe2c · Cited by 15
“[14] C.”
Background
Emergent entanglement structures and self-similarity in quantum spin chains
Sokolov, B., Rossi, M. A. C., García-Pérez, G., & Maniscalco, S. (2022) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2020.0421 · Cited by 12
“, for quantum simulators such as those realised with trapped ion systems [50] or cold atoms in optical lattices [51], the quantum systems are neither close to the thermodynamic limit nor have closed boundary conditions.”
Background
Quantum dimer model containing Rokhsar-Kivelson point expressed by spin- 12 Heisenberg antiferromagnets
Hirose, Y., Oguchi, A., & Fukumoto, Y. (2020) · doi:10.1103/physrevb.101.174440 · Cited by 8
Quantum Computation Toolbox for Decoherence‐Free Qubits Using Multi‐Band Alkali Atoms
Mamaev, M., Thywissen, J. H., & Rey, A. M. (2020) · Advanced Quantum Technologies · doi:10.1002/qute.201900132 · Cited by 9
“[1] Christian Gross and Immanuel Bloch.”
Background
Measuring geometric phases with a dynamical quantum Zeno effect in a Bose-Einstein condensate
Do, H. V., Gessner, M., Cataliotti, F. S., & Smerzi, A. (2019) · Physical Review Research · doi:10.1103/physrevresearch.1.033028 · Cited by 8
“As such, these techniques have potential applications in the field of quantum information, in particular, quantum simulations [19] and quantum computations [20].”
Method
Quantum simulation of negative hydrogen ion using variational quantum eigensolver on IBM quantum computer
Kumar, S., Singh, R., Behera, B. K., & Panigrahi, P. (2019) · doi:10.48550/arxiv.1903.03454 · Cited by 8
“Diﬀerent architectures such as optical lattice-18,19 , trapped ions-20 , nuclear spins-21 , superconducting qubit-22 based quantum computers have been extensively used in the past for simulation of quantum systems.”
Background
Quantum phase transitions in the dimerized extended Bose-Hubbard model
Sugimoto, K., Ejima, S., Lange, F., & Fehske, H. (2018) · Physical Review A · doi:10.1103/physreva.99.012122 · Cited by 8
Emergent mode and bound states in single-component one-dimensional lattice fermionic systems
He, Y.-C., Tian, B., Pekker, D., & Mong, R. S. K. (2018) · Physical review B · doi:10.1103/physrevb.100.201101 · Cited by 8
Quo vadis now, cold molecules?
Julienne, P. (2018) · Nature Physics · doi:10.1038/s41567-018-0260-3 · Cited by 8
Coherent optical nanotweezers for ultracold atoms
Bienias, P., Subhankar, S., Wang, Y., Tsui, T.-C., Jendrzejewski, F., Tiecke, T. G., Juzeliūnas, G., Jiang, L., Rolston, S. L., Porto, J. V., et al. (2020) · Physical Review A · doi:10.1103/physreva.102.013306 · Cited by 13
Magnetic phase diagram of light-mediated spin structuring in cold atoms
Labeyrie, G., Krešić, I., Robb, G., Oppo, G., Kaiser, R., & Ackemann, T. (2018) · Optica · doi:10.1364/optica.5.001322 · Cited by 8
Probing unitary two-time correlations in a neutral atom quantum simulator
Uhrich, P., Gross, C., & Kästner, M. (2018) · Quantum Science and Technology · doi:10.1088/2058-9565/aaf6ce · Cited by 7
“All three ingredients are readily available in several of the existing platforms for quantum simulation, including neutral atom based platforms [4] and ion traps [2].”
BackgroundSelf-citation
Quantum phase transitions and the degree of nonidentity in the system with two different species of vector bosons
Belemuk, A., Chtchelkatchev, N., Mikheyenkov, A., & Kugel, K. (2018) · New Journal of Physics · doi:10.1088/1367-2630/aacbba · Cited by 8
Fast trimers in a one-dimensional extended Fermi-Hubbard model
Dhar, A., Törmä, P., & Kinnunen, J. (2017) · doi:10.1103/physreva.97.043624 · Cited by 8
“In the last two decades, there has been significant progress in cooling and trapping ultracold atoms in different lattice geometries leading to the simulation of a variety of quantum models [2] including the extended Bose-Hubbard model [3].”
Background
SU(3) topological insulators in the honeycomb lattice
Bornheimer, U., Miniatura, C., & Grémaud, B. (2018) · Physical Review A · doi:10.1103/physreva.98.043614 · Cited by 9
Experimental realization of universal quantum gates and a six-qubit entangled state using a photonic quantum walk
Sengupta, K., Dinesh, S. P., Shafi, K. M., Asokan, S., & Chandrashekar, C. M. (2025) · Physical Review Applied · doi:10.1103/r7yp-1vz4 · Cited by 7
Universal Dynamical Scaling of Strong-to-Weak Spontaneous Symmetry Breaking in Open Quantum Systems
Shu, C., Zhang, K., Luo, Z.-X., You, Y., & Sun, K. (2026) · doi:10.48550/arxiv.2603.06363 · Cited by 7
“Finally, the examples discussed in this paper are experimentally accessible in programmable open quantum platforms including trapped Ryd-berg ions [55, 56], optical lattices [57], and neutral atom arrays [58, 59].”
Dynamically tunable optical lattices based on interference of two linearly chirped elliptical Airyprime vortex beams
Gao, H., Chen, J., Liu, Z., Wang, F., Cai, Y., & Zhou, G. (2025) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2025.116872 · Cited by 7
Learning Minimal Representations of Many-Body Physics from Snapshots of a Quantum Simulator
Møller, F., Fernández-Fernández, G., Schweigler, T., de Schoulepnikoff, P., Schmiedmayer, J., & Muñoz-Gil, G. (2025) · Physical Review Research · doi:10.1103/r7pj-gl7r · Cited by 7
Homogeneous Fermionic Hubbard Gases in a Flattop Optical Lattice.
Wang, Y.-X., Shao, H.-J., Zhu, Y.-S., Zhu, D.-Z., Sun, H.-N., Chen, S.-Y., Yao, X.-C., Chen, Y.-A., & Pan, J.-W. (2025) · Physical Review Letters · doi:10.1103/physrevlett.134.043403 · Cited by 7
Quantum Trails and Memory Effects in the Phase Space of Chaotic Quantum Systems
Pizzi, A. (2025) · Physical Review Letters · doi:10.1103/physrevlett.134.140402 · Cited by 4
“More recently, these phenomena have been shown to play an important role in our understanding of isolated many-body systems out of equilibrium [16–23], as increasingly relevant in modern quantum simulators [24–26].”
Exact spectral form factors of noninteracting fermions with Dyson statistics
Ikeda, T. N., Vidmar, L., & Flynn, M. O. (2025) · Physical review. B./Physical review. B · doi:10.1103/physrevb.111.144312 · Cited by 5
Single-Particle Universality of the Many-Body Spectral Form Factor.
Flynn, M. O., Vidmar, L., & Ikeda, T. N. (2024) · Physical Review Letters · doi:10.1103/physrevlett.134.160403 · Cited by 7
Magnetic Feshbach resonances in ultracold atom-molecule collisions
Morita, M., Kosicki, M. B., Żuchowski, P., Brumer, P., & Tscherbul, T. V. (2024) · Physical Review A · doi:10.1103/physreva.110.l021301 · Cited by 7
Topological photon pumping in quantum optical systems
Svendsen, M. B. M., Cech, M., Schemmer, M., & Olmos, B. (2024) · Quantum · doi:10.22331/q-2024-10-02-1488 · Cited by 6
“These systems constitute nowadays the vanguard of platforms for quantum simulation and quantum information processing with quantum emitters [40, 41], which can be realized with cold atoms [42, 43, 44], molecules [45, 46, 47] or resonators [48, 10, 49] placed in different one- two-and…”
Background
Continuous generation of an ultracold atomic beam using crossed moving optical lattices
岡場, 翔., Takeuchi, R., Tsuji, S., & Katori, H. (2024) · Physical Review Applied · doi:10.1103/physrevapplied.21.034006 · Cited by 18
Quantum state preparation of topological chiral spin liquids via Floquet engineering
Mambrini, M., & Poilblanc, D. (2024) · SciPost Physics · doi:10.21468/scipostphys.17.1.011 · Cited by 9
“5 can be realized with cold atoms loaded on an optical lattice [61], for which a microscopic description applies [62, 63].”
Background
Engineering of a Low-Entropy Quantum Simulator for Strongly Correlated Electrons Using Cold Atoms with SU(N) -Symmetric Interactions
Yamamoto, D., & Morita, K. (2024) · Physical Review Letters · doi:10.1103/physrevlett.132.213401 · Cited by 6
Metallic transport of hard-core bosons
Bhattacharyya, S., De, A., Gazit, S., & Auerbach, A. (2023) · Physical review B · doi:10.1103/physrevb.109.035117 · Cited by 7
“HCB have modeled 4 He superfluid films [1], cold optical-lattice bosons between Mott insulator phases [2, 3], low capacitance Josephson junction arrays [4, 5], and the superconducting fluctuations of cuprates [6, 7].”
Background
Stable dynamic helix state in the nonintegrable XXZ Heisenberg model
Zhang, G., & Song, Z. (2024) · Physica Scripta · doi:10.1088/1402-4896/ad5886 · Cited by 5
“Atomic systems are an excellent test-beds for quantum simulator in experiments [20–26], stimulating theoretical studies on the dynamics of quantum spin systems.”
Background
Noise-Aware Variational Eigensolvers: A Dissipative Route for Lattice Gauge Theories
Cobos, J., Locher, D. F., Bermúdez, A., Müller, M., & Rico, E. (2024) · PRX Quantum · doi:10.1103/prxquantum.5.030340 · Cited by 7
“There are currently several platforms that are suitable to perform quantum simulations: cold atoms [44, 45], trapped ions [46, 47], and either photonic [48, 49] or superconducting circuits [50–52], among others.”
Background
A ship-in-a-bottle quantum gas microscope setup for magnetic mixtures
Sohmen, M., Mark, M. J., Greiner, M., & Ferlaino, F. (2023) · SciPost Physics · doi:10.21468/scipostphys.15.5.182 · Cited by 7
“About five years later, two groups demonstrated microscopes for the bosonic lanthanoid 174 Yb [16, 17], whose complex electronic level structure promises opportunities for realising new quantum information protocols.”
Influential
Open system approach to neutrino oscillations in a quantum walk framework
Sahu, H., & Chandrashekar, C. M. (2024) · Quantum Information Processing · doi:10.1007/s11128-023-04222-8 · Cited by 4
Fidelity estimator, randomized benchmarking and ZNE for quantum pulses
Cheng, J.-L., Liang, Z., Yang, R.-Y., Ren, H., Shi, Y.-Y., Li, T., & Qian, X.-H. (2023) · doi:10.48550/arxiv.2305.12597 · Cited by 7
“On the hardware side, several physical implementations of qubits, including superconducting circuits [26], [27], trapped ions [4], [7], [29], quantum dots [13], [18], [22], [41], ultracold atoms [5], [17], [23], [30], are being explored to develop scalable and fault-tolerant quantum computers.”
Background
Commensurate and incommensurate 1D interacting quantum systems
Carli, A. D., Parsonage, C., Rooij, A. L., Koehn, L., Ulm, C., Duncan, C. W., Daley, A., Haller, E., & Kuhr, S. (2023) · Nature Communications · doi:10.1038/s41467-023-44610-3 · Cited by 7
Complexity of spin configuration dynamics due to unitary evolution and periodic projective measurements.
Casagrande, H. P., Xing, B., Dalmonte, M., Rodriguez, A., Balachandran, V., & Poletti, D. (2023) · Physical Review E · doi:10.1103/physreve.108.044128 · Cited by 7
Nonmesonic Quantum Many-Body Scars in a 1D Lattice Gauge Theory.
Ge, Z.-Y., Zhang, Y.-R., & Nori, F. (2023) · Physical Review Letters · doi:10.1103/physrevlett.132.230403 · Cited by 7
Non-Fermi liquid behavior at flat hot spots from quantum critical fluctuations at the onset of charge- or spin-density wave order
Debbeler, L. J., & Metzner, W. (2023) · Physical review B · doi:10.1103/physrevb.107.165152 · Cited by 7
“Alternatively, a QCP with flat hot spots may be realized by cold fermionic atoms in optical lattices, where the particle density, interaction strength, and hopping amplitudes can be tuned at will [16, 17].”
Background
An accordion superlattice for controlling atom separation in optical potentials
Wili, S., Esslinger, T., & Viebahn, K. (2023) · New Journal of Physics · doi:10.1088/1367-2630/acc5ab · Cited by 9
“Optical lattices [1, 2] and optical tweezer arrays [3–10] recently emerged as prime platforms for quantum simulation and computation with neutral atoms.”
Background
Parametrized quantum circuit for weight-adjustable quantum loop gas
Sun, R.-Y., Shirakawa, T., & Yunoki, S. (2022) · Physical review B · doi:10.1103/physrevb.107.l041109 · Cited by 7
Information scrambling and the correspondence of entanglement dynamics and operator dynamics in systems with nonlocal interactions
Wanisch, D., Espinoza, J. D. A., & Fritzsche, S. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.107.205127 · Cited by 7
Nonlinear localized modes in one‐dimensional nanoscale dark‐state optical lattices
Chen, Z., & Zeng, J. (2022) · Nanophotonics · doi:10.1515/nanoph-2022-0213 · Cited by 7
Learning algorithm reflecting universal scaling behavior near phase transitions
Maskara, N., Buchhold, M., Endres, M., & van Nieuwenburg, E. (2022) · Physical Review Research · doi:10.1103/physrevresearch.4.l022032 · Cited by 12
Accessing the topological Mott insulator in cold atom quantum simulators with realistic Rydberg dressing
Cardarelli, L., Julià-Farré, S., Lewenstein, M., Dauphin, A., & Müller, M. (2023) · Quantum Science and Technology · doi:10.1088/2058-9565/acbc45 · Cited by 10
“In this context, ultracold gases trapped in optical lattices represent a pre-eminent platform for the quantum simulation of interacting Hubbard models [79, 80] such as the one given by equation (2).”
Method
Generating symmetry-protected long-range entanglement
Dutta, S., Kuhr, S., & Cooper, N. R. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.l012039 · Cited by 2
“—The protocol can be implemented on several experimental platforms that have the capability of single-site addressing, particularly quantum-gas microscopes [32], superconducting circuits [33], and arrays of Rydberg atoms [34].”
Method
Self-Pinning Transition of a Tonks-Girardeau Gas in a Bose-Einstein Condensate.
Keller, T., Fogarty, T., & Busch, T. (2021) · Physical Review Letters · doi:10.1103/physrevlett.128.053401 · Cited by 7
“[4] Christian Gross and Immanuel Bloch, “Quantum simulations with ultracold atoms in optical lattices,” Science 357, 995–1001 (2017).”
Background
Topological phonons in arrays of ultracold dipolar particles
Liberto, M. F. D., Kruckenhauser, A., Zoller, P., & Baranov, M. A. (2022) · Quantum · doi:10.22331/q-2022-06-07-731 · Cited by 7
Phase and group velocities for correlation spreading in the Mott phase of the Bose-Hubbard model in dimensions greater than one
Mokhtari-Jazi, A., Fitzpatrick, M., & Kennett, M. P. (2021) · Physical Review A · doi:10.1103/physreva.103.023334 · Cited by 11
Numerically exact mimicking of quantum gas microscopy for interacting lattice fermions
Humeniuk, S., & Wan, Y. (2020) · Physical review B · doi:10.1103/physrevb.104.075155 · Cited by 7
SU(3) truncated Wigner approximation for strongly interacting Bose gases
Nagao, K., Takasu, Y., Takahashi, Y., & Danshita, I. (2021) · Physical Review Research · doi:10.1103/physrevresearch.3.043091 · Cited by 10
Ab initioproperties of the NaLi molecule in thea3Σ+electronic state
Gronowski, M., Koza, A., & Tomza, M. (2020) · Physical Review A · doi:10.1103/physreva.102.020801 · Cited by 7
Quantum fluids of light in all-optical scatterer lattices
Alyatkin, S., Sigurdsson, H., Askitopoulos, A., Topfer, J. D., & Lagoudakis, P. G. (2020) · Nature Communications · doi:10.1038/s41467-021-25845-4 · Cited by 7
“1c,f) in the same spirit as the vacancy lattice created in electronic systems [25, 26] or optical lattices of cold atoms [27, 28].”
Fermion-induced dynamical critical point
Yin, S., & Jian, S.-K. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.103.125116 · Cited by 9
Light reflection and transmission in planar lattices of cold atoms.
Yoo, S.-M., & Javanainen, J. (2020) · Optics Express · doi:10.1364/oe.389570 · Cited by 7
Fermion-induced quantum critical point in the Landau-Devonshire model
Yin, S., & Zuo, Z. (2020) · Physical review B · doi:10.1103/physrevb.101.155136 · Cited by 7
Unitary Subharmonic Response and Floquet Majorana Modes
Shtanko, O., & Movassagh, R. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.086804 · Cited by 10
Self-organized bosonic domain walls
Zhu, X., Dong, S., Lin, Y., Mondaini, R., Guo, H., Feng, S., & Scalettar, R. T. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.013085 · Cited by 5
Floquet engineering of optical lattices with spatial features and periodicity below the diffraction limit
Subhankar, S., Bienias, P., Titum, P., Tsui, T., Wang, Y., Gorshkov, A., Rolston, S., & Porto, J. (2019) · New Journal of Physics · doi:10.1088/1367-2630/ab500f · Cited by 7
“Optical potentials and in particular optical lattices have proven to be a powerful tool for manipulating ultracold atomic systems and are used in a wide range of experiments [7, 8, 9].”
Background
Dynamics and quantum correlations in two independently driven Rydberg atoms with distinct laser fields
Srivastava, V., Niranjan, A., & Nath, R. (2019) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/1361-6455/ab32a2 · Cited by 7
Few-body physics on a spacetime lattice in the worldline approach
Singh, H., & Chandrasekharan, S. (2018) · Physical Review D · doi:10.1103/physrevd.99.074511 · Cited by 7
Reentrant Fulde-Ferrell-Larkin-Ovchinnikov state in small-sized superconductors
Kim, T., Chien, C.-C., & Lin, S. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.99.054509 · Cited by 8
Quasielectrons in lattice Moore-Read models
Manna, S., Wildeboer, J., & Nielsen, A. (2018) · Physical review B · doi:10.1103/physrevb.99.045147 · Cited by 7
PT symmetry enforced twin exchange as the origin of chirality-induced spin selectivity
Theiler, P. M., Driessen, S., & Beard, M. C. (2026) · Science Advances · doi:10.1126/sciadv.aec7069 · Cited by 9
“…nuclear magnetic resonance activity of nanobelts versus rings of chiral porphyrins ( 62 ), or ultracold trapped ions arranged in chiral geometries ( 63 ), can emulate these effects, enabling direct control of structural chiral geometry to test whether spin localization collapses under ring closure.”
Evolution of multilayer optical lattices based on linearly chirped circular Airyprime vortex beams
Gao, H., Chen, J., Zheng, Y., Liu, Z., Wang, F., Cai, Y., & Zhou, G. (2025) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2025.117451 · Cited by 5
Diagnostics of Hilbert space fragmentation, freezing transition, and its effects in the family of quantum East models involving varying range of constraints
Aditya, S. (2025) · Physical review B · doi:10.1103/7j6x-74f1 · Cited by 6
“Further, recent advancements in various experimental platforms [6–8] have enabled us to make significant progress in this area over the past decade.”
Optimal control of a Bose-Einstein condensate in an opticallattice: the non-linear and two-dimensional cases
Dionis, E., Peaudecerf, B., Guérin, S., Guéry-Odelin, D., & Sugny, D. (2025) · Frontiers in Quantum Science and Technology · doi:10.3389/frqst.2025.1540695 · Cited by 7
Tunable two-species spin models with Rydberg atoms in circular and elliptical states
Dobrzyniecki, J., Heim, P., & Tomza, M. (2025) · Physical Review Research · doi:10.1103/physrevresearch.7.013321 · Cited by 5
“Previous proposals for spin model simulators include setups made up of ultracold polar molecules [8], atoms [9], or their mixtures [10].”
Weak superfluidity in twisted optical potentials
Johnstone, D., Mishra, S., Zhu, Z., Yao, H., & Sanchez-Palencia, L. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.l042066 · Cited by 6
Local Control and Mixed Dimensions: Exploring High-Temperature Superconductivity in Optical Lattices
Schlömer, H., Lange, H., Franz, T., Chalopin, T., Bojović, P., Wang, S., Bloch, I., Hilker, T., Grusdt, F., & Bohrdt, A. (2024) · PRX Quantum · doi:10.1103/prxquantum.5.040341 · Cited by 15
Self-citation
Synthetic non-Abelian topological charges in ultracold atomic gases
Wang, Q.-D., Zhu, Y.-Q., Zhu, S.-L., & Zheng, Z. (2024) · Physical Review A · doi:10.1103/physreva.110.023321 · Cited by 9

Authors: Gross, C., & Bloch, I.
Affiliations: Max Planck Institute of Quantum Optics (DE)
Corresponding author: Gross, Christian
Bloch, Immanuel
ORCID: Gross, Christian
Bloch, Immanuel
Venue: Science
Publisher: American Association for the Advancement of Science (AAAS)
Published: 2017-09-08
Volume: 357
Issue: 6355
Pages: 995-1001
ISSN: 0036-8075 (ISSN-L)
1095-9203
DOI: 10.1126/science.aal3837
OpenAlex: W2752346050
Cited by: 1,527
References: 0
Citations by year: 2026: 129 · 2025: 253 · 2024: 206 · 2023: 215 · 2022: 183 · 2021: 179 · 2020: 155 · 2019: 129 · 2018: 77 · 2017: 1
FWCI: 6.77
Type: journal article
Language: en
Open access: closed
Locations: Science (publishedVersion)
PubMed (publishedVersion)
MPG.PuRe (Max Planck Society) (submittedVersion)
Topics: Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
Keywords: quantum simulation, ultracold atoms, optical lattices, quantum gas microscope, quantum many-body systems, quantum magnetism, topological materials, long-range interactions

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

Quantum simulations with ultracold atoms in optical lattices

Abstract

Overview

Integrity signals

Verification

Claims the paper makes

Claims other papers make about this one

Citations

Cites

Cited by

Metadata

Record

About these checks