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Quantum simulations with ultracold atoms in optical lattices
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.
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“atomic gases enjoy an extraordinary level of cleanness and control at the microscopic level, which permits a quantitative comparison with ab initio theoretical calculations.”
From How to exploit driving and dissipation to stabilize and manipulate quantum many-body states (2025) · cites this paper as [2]
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Cites
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-citationGeorgescu, 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-citationUltracold 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-citationJaksch, 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
Jaksch, D., & Zoller, P. (2003) · New Journal of Physics · doi:10.1088/1367-2630/5/1/356 · Cited by 777
Flagged first, then by citations
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).
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Bharti, K., Cervera-Lierta, A., Kyaw, T. H., Haug, T., Alperin-Lea, S., Anand, A., Degroote, M., Heimonen, H., Kottmann, J. S., Menke, T., et al. (2022) · Reviews of Modern Physics · doi:10.1103/revmodphys.94.015004 · Cited by 2,231
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Daley, A. J., Bloch, I., Kokail, C., Flannigan, S., Pearson, N., Troyer, M., & Zoller, P. (2022) · Nature · doi:10.1038/s41586-022-04940-6 · Cited by 783
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Semeghini, G., Levine, H., Keesling, A., Ebadi, S., Wang, T. T., Bluvstein, D., Verresen, R., Pichler, H., Kalinowski, M., Samajdar, R., et al. (2021) · Science · doi:10.1126/science.abi8794 · Cited by 781
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Monroe, C. R., Campbell, W. C., Duan, L.-M., Gong, Z., Gorshkov, A. V., Hess, P., Islam, R., Kim, K., Linke, N. M., Pagano, G., et al. (2021) · Reviews of Modern Physics · doi:10.1103/revmodphys.93.025001 · Cited by 891
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Scholl, P., Schuler, M., Williams, H. J., Eberharter, A. A., Barredo, D., Schymik, K.-N., Lienhard, V., Henry, L.-P., Lang, T. C., Lahaye, T., et al. (2021) · Nature · doi:10.1038/s41586-021-03585-1 · Cited by 688
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Bañuls, M. C., Blatt, R., Catani, J., Celi, A., Cirac, J. I., Dalmonte, M., Fallani, L., Jansen, K., Lewenstein, M., Montangero, S., et al. (2020) · The European Physical Journal D · doi:10.1140/epjd/e2020-100571-8 · Cited by 570
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Levine, H., Keesling, A., Semeghini, G., Omran, A., Wang, T. T., Ebadi, S., Bernien, H., Greiner, M., Vuletić, V., Pichler, H., et al. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.170503 · Cited by 604
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Fisher, M. P. A., Khemani, V., Nahum, A., & Vijay, S. (2022) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031720-030658 · Cited by 534
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BackgroundSelf-verifying variational quantum simulation of lattice models
Kokail, C., Maier, C., van Bijnen, R., Brydges, T., Joshi, M. K., Jurcevic, P., Muschik, C. A., Silvi, P., Blatt, R., Roos, C. F., et al. (2019) · Nature · doi:10.1038/s41586-019-1177-4 · Cited by 594
Synthetic three-dimensional atomic structures assembled atom by atom
Barredo, D., Lienhard, V., de Léséleuc, S., Lahaye, T., & Browaeys, A. (2018) · Nature · doi:10.1038/s41586-018-0450-2 · Cited by 562
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Hempel, C., Maier, C., Romero, J., McClean, J., Monz, T., Shen, H., Jurcevic, P., Lanyon, B. P., Love, P., Babbush, R., et al. (2018) · Physical Review X · doi:10.1103/physrevx.8.031022 · Cited by 629
“[12] Christian Gross and Immanuel Bloch, “Quantum simulations with ultracold atoms in optical lattices,” Science 357, 995–1001 (2017).”
BackgroundMethodThe randomized measurement toolbox
Elben, A., Flammia, S. T., Huang, H.-Y., Kueng, R., Preskill, J. P., Vermersch, B., & Zoller, P. (2022) · Nature Reviews Physics · doi:10.1038/s42254-022-00535-2 · Cited by 460
“Although such machines may lie far in the future, even today programmable quantum platforms 1,2 can create and control complex states comprising many atoms 3–8 , spins 9,10 , photons 11,12 or superconducting circuit elements 13 , opening unprecedented opportunities for scientific discovery 14 .”
BackgroundTools for quantum simulation with ultracold atoms in optical lattices
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Microscopic Control and Detection of Ultracold Strontium in Optical-Tweezer Arrays
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BackgroundHigh-Fidelity Control and Entanglement of Rydberg-Atom Qubits
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Krenn, M., Pollice, R., Guo, S. Y., Aldeghi, M., Cervera-Lierta, A., Friederich, P., Gomes, G., Häse, F., Jinich, A., Nigam, A., et al. (2022) · Nature Reviews Physics · doi:10.1038/s42254-022-00518-3 · Cited by 444
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King, A. D., Carrasquilla, J., Raymond, J., Ozfidan, I., Andriyash, E., Berkley, A. J., Reis, M., Lanting, T. M., Harris, R., Altomare, F., et al. (2018) · Nature · doi:10.1038/s41586-018-0410-x · Cited by 329
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Su, R., Ghosh, S., Wang, J., Liu, S., Diederichs, C., Liew, T. C. H., & Xiong, Q. (2020) · Nature Physics · doi:10.1038/s41567-019-0764-5 · Cited by 276
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Schweizer, C., Grusdt, F., Berngruber, M., Barbiero, L., Demler, E., Goldman, N., Bloch, I., & Aidelsburger, M. (2019) · Nature Physics · doi:10.1038/s41567-019-0649-7 · Cited by 355
“[16] Christian Gross and Immanuel Bloch, “Quantum simulations with ultracold atoms in optical lattices,” Science 357, 995–1001 (2017).”
BackgroundSelf-citationSpin transport in a tunable Heisenberg model realized with ultracold atoms
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Groß, C., & Bakr, W. (2021) · Nature Physics · doi:10.1038/s41567-021-01370-5 · Cited by 234
Self-citationQuantum critical dynamics in a 5,000-qubit programmable spin glass
King, A. D., Raymond, J., Lanting, T., Harris, R., Zucca, A., Altomare, F., Berkley, A. J., Boothby, K., Ejtemaee, S., Enderud, C., et al. (2023) · Nature · doi:10.1038/s41586-023-05867-2 · Cited by 242
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Harrington, P. M., Mueller, E. J., & Murch, K. W. (2022) · Nature Reviews Physics · doi:10.1038/s42254-022-00494-8 · Cited by 272
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Koepsell, J., Vijayan, J., Sompet, P., Grusdt, F., Hilker, T. A., Demler, E., Salomon, G., Bloch, I., & Gross, C. (2018) · Nature · doi:10.1038/s41586-019-1463-1 · Cited by 208
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Bigagli, N., Yuan, W., Zhang, S., Bulatovic, B., Karman, T., Stevenson, I., & Will, S. (2024) · Nature · doi:10.1038/s41586-024-07492-z · Cited by 171
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BackgroundPreparing random states and benchmarking with many-body quantum chaos
Choi, J., Shaw, A. L., Madjarov, I. S., Xie, X., Finkelstein, R., Covey, J. P., Cotler, J. S., Mark, D. K., Huang, H.-Y., Kale, A., et al. (2023) · Nature · doi:10.1038/s41586-022-05442-1 · Cited by 207
Review on novel methods for lattice gauge theories
Bañuls, M. C., & Cichy, K. (2019) · Reports on Progress in Physics · doi:10.1088/1361-6633/ab6311 · Cited by 221
String patterns in the doped Hubbard model
Chiu, C. S., Ji, G., Bohrdt, A., Xu, M., Knap, M., Demler, E., Grusdt, F., Greiner, M., & Greif, D. (2019) · Science · doi:10.1126/science.aav3587 · Cited by 198
Quantum simulation of hyperbolic space with circuit quantum electrodynamics: From graphs to geometry
Boettcher, I., Bienias, P., Belyansky, R., Kollár, A. J., & Gorshkov, A. V. (2020) · Physical Review A · doi:10.1103/physreva.102.032208 · Cited by 115
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BackgroundStrategies for solving the Fermi-Hubbard model on near-term quantum computers
Cade, C., Mineh, L., Montanaro, A., & Stanisic, S. (2020) · Physical Review B · doi:10.1103/physrevb.102.235122 · Cited by 178
Realizing spin squeezing with Rydberg interactions in an optical clock
Eckner, W. J., Oppong, N. D., Cao, A., Young, A. W., Milner, W. R., Robinson, J. M., Ye, J., & Kaufman, A. M. (2023) · Nature · doi:10.1038/s41586-023-06360-6 · Cited by 165
“For N = 5 × 14 = 70 (with spacing 3 alat along x and 2 alat along y), we find that the measured r g (2) agrees qualitatively with theoretical predictions at the optimal interaction time (Methods).”
BackgroundMethodResultInfluentialCreating designer quantum states of matter atom-by-atom
Khajetoorians, A. A., Wegner, D., Otte, A. F., & Swart, I. (2019) · Nature Reviews Physics · doi:10.1038/s42254-019-0108-5 · Cited by 170
Heinrich, A. J., Oliver, W. D., Vandersypen, L. M. K., Ardavan, A., Sessoli, R., Loss, D., Jayich, A. C. B., Fernández-Rossier, J., Laucht, A., & Morello, A. (2021) · Nature Nanotechnology · doi:10.1038/s41565-021-00994-1 · Cited by 183
Quantum Electrodynamics in a Topological Waveguide
Kim, E., Zhang, X., Ferreira, V. S., Banker, J., Iverson, J. K., Sipahigil, A., Bello, M., González-Tudela, A., Mirhosseini, M., & Painter, O. J. (2021) · Physical Review X · doi:10.1103/physrevx.11.011015 · Cited by 213
“Altogether, our work sheds light on opportunities in superconducting circuits to explore quantum many-body physics originating from novel types of photon-mediated interactions in topological waveguide QED, and paves the way for creating synthetic quantum matter and performing quantum simulation [63–67].”
BackgroundMicrowave Engineering of Programmable X X Z Hamiltonians in Arrays of Rydberg Atoms
Scholl, P., Williams, H. J., Bornet, G., Wallner, F., Barredo, D., Henriet, L., Signoles, A., Hainaut, C., Franz, T., Geier, S., et al. (2022) · PRX Quantum · doi:10.1103/prxquantum.3.020303 · Cited by 200
Quantum many-body simulations on digital quantum computers: State-of-the-art and future challenges
Fauseweh, B. (2024) · Nature Communications · doi:10.1038/s41467-024-46402-9 · Cited by 152
Emergent black hole dynamics in critical Floquet systems
Lapierre, B., Choo, K., Tauber, C., Tiwari, A., Neupert, T., & Chitra, R. (2019) · Physical Review Research · doi:10.1103/physrevresearch.2.023085 · Cited by 151
Variational Thermal Quantum Simulation via Thermofield Double States
Wu, J., & Hsieh, T. H. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.220502 · Cited by 163
Continuous operation of a coherent 3,000-qubit system
Chiu, N.-C., Trapp, E. C., Guo, J., Abobeih, M. H., Stewart, L. M., Hollerith, S., Stroganov, P., Kalinowski, M., Geim, A. A., Evered, S. J., et al. (2025) · Nature · doi:10.1038/s41586-025-09596-6 · Cited by 103
Measurement-Induced Transition in Long-Range Interacting Quantum Circuits
Block, M., Bao, Y., Choi, S., Altman, E., & Yao, N. Y. (2022) · Physical Review Letters · doi:10.1103/physrevlett.128.010604 · Cited by 208
Floquet Hamiltonian engineering of an isolated many-body spin system
Geier, S., Thaicharoen, N., Hainaut, C., Franz, T., Salzinger, A., Tebben, A., Grimshandl, D., Zürn, G., & Weidemüller, M. (2021) · Science · doi:10.1126/science.abd9547 · Cited by 144
Microscopic evolution of doped Mott insulators from polaronic metal to Fermi liquid
Koepsell, J., Bourgund, D., Sompet, P., Hirthe, S., Bohrdt, A., Wang, Y., Grusdt, F., Demler, E., Salomon, G., Gross, C., et al. (2020) · Science · doi:10.1126/science.abe7165 · Cited by 142
Self-citationExploration of doped quantum magnets with ultracold atoms
Bohrdt, A., Homeier, L., Reinmoser, C., Demler, E., & Grusdt, F. (2021) · Annals of Physics · doi:10.1016/j.aop.2021.168651 · Cited by 136
Defect-Free Assembly of 2D Clusters of More Than 100 Single-Atom Quantum Systems
de Mello, D. O., Schäffner, D., Werkmann, J., Preuschoff, T., Kohfahl, L., Schlosser, M., & Birkl, G. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.203601 · Cited by 173
Cold-atom quantum simulators of gauge theories
Halimeh, J. C., Aidelsburger, M., Grusdt, F., Hauke, P., & Yang, B. (2025) · Nature Physics · doi:10.1038/s41567-024-02721-8 · Cited by 108
“Although substantial progress has been made with trapped ions 27–29 and superconducting qubits 30–33 , this Review will focus on cold-atom quantum simulators 34 , which have recently emerged as viable large-scale platforms to probe the physics underlying gauge theories.”
Generation of thermofield double states and critical ground states with a quantum computer
Zhu, D., Johri, S., Linke, N. M., Landsman, K. A., Alderete, C. H., Nguyen, N. H., Matsuura, A. Y., Hsieh, T. H., & Monroe, C. R. (2020) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2006337117 · Cited by 122
“Experimental platforms such as optical lattices of ultracold atoms have enabled finite-temperature simulation (11, 12), but these are specific to particular (Hubbard) models, and cooling to low effective temperatures remains a major obstacle.”
Dynamics of quantum information
Lewis-Swan, R. J., Safavi-Naini, A., Kaufman, A. M., & Rey, A. M. (2019) · Nature Reviews Physics · doi:10.1038/s42254-019-0090-y · Cited by 125
Many-Body Physics in the NISQ Era: Quantum Programming a Discrete Time Crystal
Ippoliti, M., Kechedzhi, K., Moessner, R., Sondhi, S. L., & Khemani, V. (2021) · PRX Quantum · doi:10.1103/prxquantum.2.030346 · Cited by 105
“11 60 2v 1 [ co nd -m at .d is -n n] 2 2 Ju l 2 02 0 2 grammable simulators (such as Sycamore) are quantum circuits rather than Hamiltonians.”
BackgroundInfluentialEntanglement between distant macroscopic mechanical and spin systems
Thomas, R. A., Parniak, M. P., Østfeldt, C., Møller, C. B., Bærentsen, C., Tsaturyan, Y., Schließer, A., Appel, J., Zeuthen, E., & Polzik, E. S. (2020) · Nature Physics · doi:10.1038/s41567-020-1031-5 · Cited by 120
Colloquium : Atomic spin chains on surfaces
Choi, D.-J., Lorente, N., Wiebe, J., von Bergmann, K., Otte, A. F., & Heinrich, A. J. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.041001 · Cited by 181
“(Georgescu et al., 2014; Gross and Bloch, 2017) Quantum sensors.”
Dipolar quantum solids emerging in a Hubbard quantum simulator
Su, L., Douglas, A., Szurek, M., Groth, R., Ozturk, S., Krahn, A., Hébert, A. H., Phelps, G., Ebadi, S., Dickerson, S. M., et al. (2023) · Nature · doi:10.1038/s41586-023-06614-3 · Cited by 122
Algorithms for Quantum Simulation at Finite Energies
Lu, S., Bañuls, M. C., & Cirac, J. I. (2021) · PRX Quantum · doi:10.1103/prxquantum.2.020321 · Cited by 123
Superconducting Circuit Companion—an Introduction with Worked Examples
Rasmussen, S. E., Christensen, K. S., Pedersen, S. P., Kristensen, L. B., Bækkegaard, T., Loft, N. J. S., & Zinner, N. T. (2021) · PRX Quantum · doi:10.1103/prxquantum.2.040204 · Cited by 144
“[24] Christian Gross and Immanuel Bloch.”
Search for efficient formulations for Hamiltonian simulation of non-Abelian lattice gauge theories
Davoudi, Z., Raychowdhury, I., & Shaw, A. (2021) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.104.074505 · Cited by 124
Probing Scrambling Using Statistical Correlations between Randomized Measurements
Vermersch, B., Elben, A., Sieberer, L. M., Yao, N. Y., & Zoller, P. (2019) · Physical Review X · doi:10.1103/physrevx.9.021061 · Cited by 121
Boundary-obstructed topological phases
Khalaf, E., Benalcazar, W. A., Hughes, T. L., & Queiroz, R. (2021) · Physical Review Research · doi:10.1103/physrevresearch.3.013239 · Cited by 181
Continuous operation of large-scale atom arrays in optical lattices
Gyger, F., Ammenwerth, M., Tao, R., Timme, H., Snigirev, S., Bloch, I., & Zeiher, J. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.033104 · Cited by 99
Self-citationTowards analog quantum simulations of lattice gauge theories with trapped ions
Davoudi, Z., Hafezi, M., Monroe, C. R., Pagano, G., Seif, A., & Shaw, A. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.023015 · Cited by 146
Formation of robust bound states of interacting microwave photons
Morvan, A., Andersen, T. I., Mi, X., Neill, C., Petukhov, A., Kechedzhi, K., Abanin, D., Michailidis, A., Acharya, R., Arute, F., et al. (2022) · Nature · doi:10.1038/s41586-022-05348-y · Cited by 105
Fermionic quantum processing with programmable neutral atom arrays
González-Cuadra, D., Bluvstein, D., Kalinowski, M., Kaubruegger, R., Maskara, N., Naldesi, P., Zache, T. V., Kaufman, A. M., Lukin, M. D., Pichler, H., et al. (2023) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2304294120 · Cited by 104
ARC 3.0: An expanded Python toolbox for atomic physics calculations
Robertson, E., Šibalić, N., Potvliege, R. M., & Jones, M. P. A. (2021) · Computer Physics Communications · doi:10.1016/j.cpc.2020.107814 · Cited by 96
“The reproducible properties of a given atomic species allows for the creation of hundreds of identical atomic qubits [8, 9].”
BackgroundUltracold molecules for quantum simulation: rotational coherences in CaF and RbCs
Blackmore, J. A., Caldwell, L., Gregory, P. D., Bridge, E. M., Sawant, R., Aldegunde, J., Mur-Petit, J., Jaksch, D., Hutson, J. M., Sauer, B. E., et al. (2018) · Quantum Science and Technology · doi:10.1088/2058-9565/aaee35 · Cited by 143
Unruh effect for interacting particles with ultracold atoms
Kosior, A., Lewenstein, M., & Celi, A. (2018) · SciPost Physics · doi:10.21468/scipostphys.5.6.061 · Cited by 47
Noise-resilient edge modes on a chain of superconducting qubits
Mi, X., Sonner, M., Niu, M. Y., Lee, K., Foxen, B., Acharya, R., Aleǐner, I. L., Andersen, T. I., Arute, F., Arya, K., et al. (2022) · Science · doi:10.1126/science.abq5769 · Cited by 99
Colloquium : Planckian dissipation in metals
Hartnoll, S. A., & Mackenzie, A. P. (2022) · Reviews of Modern Physics · doi:10.1103/revmodphys.94.041002 · Cited by 177
“It would also be desirable to directly measure the equilibration time and length, possibly using ultrafast spectroscopy [199], or by characterizing the nature of fluctuations in the thermal state (taking inspiration, perhaps, from experiments on ultra-cold atomic systems [200] such as [201–205]), or from measurements…”
BackgroundDynamics of ultracold quantum gases in the dissipative Fermi–Hubbard model
Sponselee, K., Freystatzky, L., Abeln, B., Diem, M., Hundt, B., Kochanke, A., Ponath, T., Santra, B., Mathey, L., Sengstock, K., et al. (2018) · Quantum Science and Technology · doi:10.1088/2058-9565/aadccd · Cited by 97
Mid-Circuit Cavity Measurement in a Neutral Atom Array
Deist, E., Lu, Y.-H., Ho, J., Pasha, M. K., Zeiher, J., Yan, Z., & Stamper-Kurn, D. M. (2022) · Physical Review Letters · doi:10.1103/physrevlett.129.203602 · Cited by 94
“In atom-based systems such as atom-tweezer arrays [12, 13], lattice-trapped atoms [14, 15], and trapped ion chains [16], the many-atom state is often read out through optical fluorescence imaging.”
BackgroundBergschneider, A., Klinkhamer, V. M., Becher, J. H., Klemt, R., Palm, L., Zürn, G., Jochim, S., & Preiss, P. M. (2019) · Nature Physics · doi:10.1038/s41567-019-0508-6 · Cited by 101
Repulsive Fermi and Bose Polarons in Quantum Gases
Scazza, F., Zaccanti, M., Massignan, P., Parish, M., & Levinsen, J. (2022) · Atoms · doi:10.3390/atoms10020055 · Cited by 92
“Quantum gas microscopes [141] could uniquely explore the competition between antiferromagnetic ordering, favored by the underlying lattice structure, and quantum emulsions of itinerant fermions.”
BackgroundMarino, J., Eckstein, M., Foster, M. S., & Rey, A. M. (2022) · Reports on Progress in Physics · doi:10.1088/1361-6633/ac906c · Cited by 86
“Is entanglement maximum at the critical point? What is the best entanglement witness for the state across the DPT? While all these questions are theoretically extremely challenging, recent experimental advances in synthesizing, manipulating and detecting quantum many-body systems are bringing quantum control into a ne…”
Magnetically mediated hole pairing in fermionic ladders of ultracold atoms
Hirthe, S., Chalopin, T., Bourgund, D., Bojović, P., Bohrdt, A., Demler, E., Grusdt, F., Bloch, I., & Hilker, T. A. (2023) · Nature · doi:10.1038/s41586-022-05437-y · Cited by 91
“A promising tool to explore strongly correlated quantum systems is analogue quantum simulation using ultracold atoms [16].”
BackgroundSelf-citationWang, X.-Q., Khatami, E., Fei, F., Wyrick, J., Namboodiri, P., Kashid, R. V., Rigosi, A., Bryant, G., & Silver, R. (2021) · Nature Communications · doi:10.1038/s41467-022-34220-w · Cited by 90
Collisionally stable gas of bosonic dipolar ground-state molecules
Bigagli, N., Warner, C., Yuan, W., Zhang, S., Stevenson, I., Karman, T., & Will, S. (2023) · Nature Physics · doi:10.1038/s41567-023-02200-6 · Cited by 79
“By fitting the increase of cloud radius due to ballistic expansion, the in-trap temperature can be extracted [4].”
BackgroundLight-mediated strong coupling between a mechanical oscillator and atomic spins 1 meter apart
Karg, T. M., Gouraud, B., Ngai, C. T., Schmid, G.-L., Hammerer, K., & Treutlein, P. (2020) · Science · doi:10.1126/science.abb0328 · Cited by 88
Li, H., Wang, Y.-Y., Shi, Y., Huang, K., Song, X., Liang, G.-H., Mei, Z.-Y., Zhou, B., Zhang, H., Zhang, J., et al. (2023) · npj Quantum Information · doi:10.1038/s41534-023-00712-w · Cited by 72
Few-body Bose gases in low dimensions—A laboratory for quantum dynamics
Mistakidis, S. I., Volosniev, A. G., Barfknecht, R. E., Fogarty, T., Busch, T., Foerster, A., Schmelcher, P., & Zinner, N. T. (2023) · Physics Reports · doi:10.1016/j.physrep.2023.10.004 · Cited by 168
Antiferromagnetic phase transition in a 3D fermionic Hubbard model
Shao, H.-J., Wang, Y.-X., Zhu, D.-Z., Zhu, Y.-S., Sun, H.-N., Chen, S.-Y., Zhang, C., Fan, Z.-J., Deng, Y.-J., Yao, X.-C., et al. (2024) · Nature · doi:10.1038/s41586-024-07689-2 · Cited by 83
“In the past two decades, the development of modern laser and atomic techniques has led to the experimental realization of the FHM with ultracold atoms in optical lattices 2,21 .”
InfluentialNon-Abelian chiral spin liquid in a quantum antiferromagnet revealed by an iPEPS study
Chen, J.-Y., Vanderstraeten, L., Capponi, S., & Poilblanc, D. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.98.184409 · Cited by 87
“[66] Christian Gross and Immanuel Bloch, “Quantum simulations with ultracold atoms in optical lattices,” Science 357, 995–1001 (2017).”
BackgroundProbing the Kitaev honeycomb model on a neutral-atom quantum computer
Evered, S. J., Kalinowski, M., Geim, A. A., Manovitz, T., Bluvstein, D., Li, S. H., Maskara, N., Zhou, H., Ebadi, S., Xu, M., et al. (2025) · Nature · doi:10.1038/s41586-025-09475-0 · Cited by 101
“Recently, analog quantum simulators [19] based on fermionic atoms in optical lattices have been advancing our understanding of the Fermi-Hubbard model [20–22].”
Quantum Simulation of the Universal Features of the Polyakov Loop
Zhang, J., Unmuth-Yockey, J., Zeiher, J., Bazavov, A., Tsai, S.-W., & Meurice, Y. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.223201 · Cited by 100
Quantum time reflection and refraction of ultracold atoms
Dong, Z., Li, H., Wan, T., Liang, Q., Yang, Z., & Yan, B. (2023) · Nature Photonics · doi:10.1038/s41566-023-01290-1 · Cited by 72
“4a. Specifically, we have defined a distance-to-width ratio of η = || δn ||/√ σ 21 + σ 22 to describe this transition.”
Hamiltonian Tomography via Quantum Quench
Li, Z., Zou, L., & Hsieh, T. H. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.160502 · Cited by 73
Isolated Heisenberg magnet as a quantum time crystal
Medenjak, M., Buča, B., & Jaksch, D. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.102.041117 · Cited by 120
“In cold atom simulations this can be directly related to the strength of the external magnetic field used to achieve Feshbach resonance of the spin-spin interaction [19].”
BackgroundMethodInfluentialHalide perovskites enable polaritonic XY spin Hamiltonian at room temperature
Tao, R., Peng, K., Haeberlé, L., Li, Q., Jin, D., Fleming, G. R., Kéna‐Cohen, S., Zhang, X., & Bao, W. (2022) · Nature Materials · doi:10.1038/s41563-022-01276-4 · Cited by 89
Introduction to theoretical and experimental aspects of quantum optimal control
Ansel, Q., Dionis, E., Arrouas, F., Peaudecerf, B., Guérin, S., Guéry-Odelin, D., & Sugny, D. (2024) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/1361-6455/ad46a5 · Cited by 72
“In this paper, we focus on a specific example for which we provide numerical solutions, namely the control of a Bose–Einstein condensate (BEC) in a one-dimensional optical lattice [128–130].”
Demonstration of three- and four-body interactions between trapped-ion spins
Katz, O., Feng, L., Risinger, A., Monroe, C. R., & Cetina, M. (2023) · Nature Physics · doi:10.1038/s41567-023-02102-7 · Cited by 65
“The generation of entanglement relies on the native interactions between subsets of spins, which in most quantum platforms is pairwise 4–6 .”
BackgroundDark State Optical Lattice with a Subwavelength Spatial Structure
Wang, Y., Subhankar, S., Bienias, P., Lacki, M., Tsui, T., Baranov, M., Gorshkov, A., Zoller, P., Porto, J., & Rolston, S. (2017) · Physical Review Letters · doi:10.1103/physrevlett.120.083601 · Cited by 77
Metadata
- Authors
- Gross, C., & Bloch, I.
- Affiliations
- Max Planck Institute of Quantum Optics (DE)
- Corresponding author
- Gross, Christian
- Bloch, Immanuel
- Venue
- Science
- Published
- 2017-09-08
- Volume
- 357
- Issue
- 6355
- Pages
- 995-1001
- ISSN
- 0036-8075 (ISSN-L)
- 1095-9203
- 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
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