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

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Quantum simulations with ultracold atoms in optical lattices

Gross, Christian, Bloch, Immanuel·2017·Science

DOI 10.1126/science.aal3837

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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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“In the ﬁrst realm, the current degree of control on cold atomic arrays [16], superconducting qubits arrays [15, 22], and the larger availability of super-computing resources has spurred a renewed interest in the dynamics of many-body quantum systems and in particular in their approach to…”
Wave packet dynamics in parabolic optical lattices: From Bloch oscillations to long-range dynamical tunneling
Ali, U., Holthaus, M., & Meier, T. (2024) · Physical Review Research · doi:10.1103/physrevresearch.7.013141 · Cited by 2
Optical induction of monopoles, knots, and skyrmions in quantum gases
Annala, T., Mikkonen, T., & Möttönen, M. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.043013 · Cited by 2
“In addition, ﬁne spatial control of the trapping potential allows the fabrication of optical lattices, enabling the simulation of a variety of quantum systems [49].”
On the Statistical Theory of the Shape of Multiple Quantum NMR Spectra in Solids
Zobov, V., & Lundin, A. (2024) · Russian Journal of Physical Chemistry B · doi:10.1134/s1990793124701070 · Cited by 2
Quantum metrological capability as a probe for quantum phase transition
Li, X., Chu, Y., Zhang, S., & Cai, J. (2024) · doi:10.48550/arxiv.2408.09783 · Cited by 2
Homogeneous magnetic flux in Rydberg lattices
Eix, J., Bai, R., Lahaye, T., Browaeys, A., Büchler, H. P., & Weber, S. (2025) · Physical Review Research · doi:10.1103/physrevresearch.7.013062 · Cited by 3
Extracting the symmetries of nonequilibrium quantum many-body systems
Mikheev, A. N., Noel, V., Siovitz, I., Strobel, H., Oberthaler, M. K., & Berges, J. (2025) · SciPost Physics · doi:10.21468/scipostphys.18.2.044 · Cited by 2
“These systems can realize a wide range of Hamiltonians with di ff erent symmetries, variable interactions and degrees of freedom based on atomic, molecular, and optical physics engineering.”
Dopant pairing in a disordered magnetic spin ladder
Nielsen, K. K. (2024) · Physical Review Research · doi:10.1103/physrevresearch.7.l012033 · Cited by 2
Synthetic spin-orbit coupling for the multispin models in optical lattices
Zheng, Z., Zhu, Y.-Q., Zhang, S., Zhu, S.-L., & Wang, Z. D. (2024) · Physical Review A · doi:10.1103/physreva.110.033327 · Cited by 5
Localized dopant motion across the 2D Ising phase transition
Nielsen, K. K. (2024) · SciPost Physics Core · doi:10.21468/scipostphyscore.7.3.054 · Cited by 2
“In other words, even though there are perfect quasiparticle excitations in these limits, in which they behave exactly as free particles, any nonzero temperature and spin coupling immediately localizes the hole.”
Background
Monte Carlo Bethe-ansatz approach for the study of the Lieb-Liniger model
Zhang, Z.-H., Yu, Y.-C., Chen, Y.-Y., Cheng, S., & Guan, X.-W. (2024) · Physical Review A · doi:10.1103/physreva.109.033320 · Cited by 2
Emergent anomalous hydrodynamics at infinite temperature in a long-range XXZ model
Yang, A., Ma, J.-L., & Ying, L. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.110.014308 · Cited by 3
Fractional spin quantum Hall effect in weakly coupled spin chain arrays
Thingstad, E., Fromholz, P., Ronetti, F., Loss, D., & Klinovaja, J. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.043200 · Cited by 2
Sub-dimensional magnetic polarons in the one-hole doped SU(3) $t$-$J$ model
Schlömer, H., Grusdt, F., Schollwöck, U., Hazzard, K., & Bohrdt, A. (2023) · doi:10.48550/arxiv.2312.14137 · Cited by 2
Noisy Demkov-Kunike model
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“An optically-trapped atomic realizations of DK model may thus serve as an ideal platform to study the effect of time-dependent disorder in a controlled setting by appropriate modulation of the laser beams to mimic various noise sources [37], thus providing an experimental counterpart of the present theoretical study.”
Background
A higher-order topological twist on cold-atom SO($5$) Dirac fields
Bermúdez, A., González-Cuadra, D., & Hands, S. (2024) · SciPost Physics · doi:10.21468/scipostphys.17.1.003 · Cited by 5
“Another difference is that, in second quantization [180–182], the atoms are described by dimensionless operators f † nnn , σ ( f nnn , σ ) that create (annihilate) an atom in the position specified by nnn , and in the internal electronic internal state given by σ ∈ S σ .”
Tunnel‐Coupled Optical Microtraps for Ultracold Atoms
Zhu, S., Long, Y., Gou, W., Pu, M., & Luo, X. (2023) · Advanced Quantum Technologies · doi:10.1002/qute.202300176 · Cited by 3
A ship-in-a-bottle quantum gas microscope for magnetic mixtures
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“The coming into operation of five different fermion microscopes in 2015 – using either (6)Li [18, 19] or (40)K [20–22] – marked the beginning of a long series of important results for Fermi systems, such as the direct observation of band [19] and (fermionic) Mott insulators [21, 23], antiferromagnetic ordering [24, 25…”
Tunnelling electrons locally ignite excitons
Huang, L. (2023) · Nature Materials · doi:10.1038/s41563-023-01514-3 · Cited by 2
Exact entanglement dynamics of two spins in finite baths
Yu, M., Gühne, O., & Nimmrichter, S. (2023) · Physical Review A · doi:10.1103/physreva.108.022415 · Cited by 2
Dynamical detection of mean-field topological phases in an interacting Chern insulator
Jia, W., Zhang, L., Zhang, L., & Liu, X.-J. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.107.125132 · Cited by 2
Quasiballistic transport in the long-range anisotropic Heisenberg model
Mierzejewski, M., Wronowicz, J., Pawłowski, J., & Herbrych, J. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.107.045134 · Cited by 4
Faraday Instability in Viscous Fluids Covered with Elastic Polymer Films
Liu, J.-X., Song, W.-Q., Ma, G., & Li, K.-G. (2022) · Polymers · doi:10.3390/polym14122334 · Cited by 2
“For the study of the Faraday instability of inviscid bounded fluids, container-bounded Faraday waves have been employed to create standing patterns in inviscid liquids [11,38], in analogy with the parametric excitations of quantum condensates [39,40] and the optical lattices able to confine ultra-cold atom gases [41].”
Method
Programmable Hamiltonian engineering with quadratic quantum Fourier transform
Wang, P., Huang, Z., Qiu, X., & Li, X. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.106.134313 · Cited by 7
Spinor Matter-Wave Control with Nanosecond Spin-Dependent Kicks
Qiu, L., Ji, L., Hu, J., He, Y., Wang, Y., & Wu, S. (2022) · PRX Quantum · doi:10.1103/prxquantum.3.040301 · Cited by 7
Chiral States in Coupled-Lasers Lattice by On-Site Complex Potential
Gadasi, S., Arwas, G., Gershenzon, I., Friesem, A. A., & Davidson, N. (2022) · Physical Review Letters · doi:10.1103/physrevlett.128.163901 · Cited by 7
Excitonic Tonks-Girardeau and charge density wave phases in monolayer semiconductors
Ołdziejewski, R., Chiocchetta, A., Knorzer, J., & Schmidt, R. (2021) · Physical review B · doi:10.1103/physrevb.106.l081412 · Cited by 2
Doping-dependent metal-insulator transition in a disordered Hubbard model
Tian, L., Li, Y.-Q., Liang, Y., & Ma, T. (2021) · Physical review B · doi:10.1103/physrevb.105.045132 · Cited by 2
Production of 23Na Bose–Einstein condensates in the F = 2 state using D2 gray molasses
Shi, Z.-L., Li, Z.-L., Wang, P.-J., Nawaz, K. S., Chen, L.-C., Meng, Z.-M., Huang, L.-H., & Zhang, J. (2021) · Journal of the Optical Society of America B · doi:10.1364/josab.414781 · Cited by 2
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Heveling, R., Wang, J.-Z., Steinigeweg, R., & Gemmer, J. (2021) · Physical Review E · doi:10.1103/physreve.105.064112 · Cited by 2
Compact Two-Dimensional Magneto-Optical Trap for Ultracold Atom Setups.
Lam, A. Z., Warner, C., Bigagli, N., Roschinski, S., Yuan, W., Stevenson, I. H., & Will, S. (2020) · doi:10.48550/arxiv.2012.06688 · Cited by 2
“Over the past decades, ultracold atom setups have undergone a remarkable evolution from proof-of-concept demonstrators to complex apparatuses that facilitate the development of quantum technologies, such as atom interferometers [1], quantum simulators [2, 3], optical atomic clocks [4, 5], and multi-species setups for…”
Background
Versatile objectives with NA = 0.55 and NA = 0.78 for cold-atom experiments
Li, S., Li, G., Yang, P., Wang, Z., Zhang, P., & Zhang, T. (2020) · Optics Express · doi:10.1364/oe.408945 · Cited by 3
Quantum entanglement, local indicators, and the effect of external fields in the Kugel-Khomskii model
Valiulin, V. E., Mikheyenkov, A., Chtchelkatchev, N., & Kugel, K. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.102.155125 · Cited by 2
“Namely, a broad class of Hamiltonians of this type can be simulated not only in the framwork of solid-state strongly correlated systems but also by ultracold atoms in the traps [22, 23, 55].”
Background
Anyonic quasiparticles of hardcore anyons
Wildeboer, J., Patra, A., Manna, S., & Nielsen, A. (2020) · doi:10.1103/physrevb.102.125117 · Cited by 2
Hard-core bosonic domain walls on a honeycomb lattice
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Non-Hermitian Aharonov-Bohm CagePreprint
Zhang, S. M., & Jin, L. (2020) · arXiv (Cornell University) · doi:10.48550/arxiv.2005.01044 · Cited by 1
Controlling magnetic correlations in a driven Hubbard system far from half-filling
Gao, H., Coulthard, J. R., Jaksch, D., & Mur-Petit, J. (2020) · Physical Review A · doi:10.1103/physreva.101.053634 · Cited by 2
Correlation spreading in quantum lattice models with variable-range interactions
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Cooper pair polaritons in cold fermionic atoms within a cavity
Dodel, A., Pikovski, A., Ermakov, I., Narozniak, M., Ivannikov, V., Wu, H.-B., & Byrnes, T. (2019) · Physical Review Research · doi:10.1103/physrevresearch.2.013184 · Cited by 2
PhD Thesis: Electronic correlations in multiorbital systems
Pizarro, J. M. (2019) · doi:10.48550/arxiv.1912.04141 · Cited by 2
“19) looks quite simple, it can capture the essential physics behind complicated systems, such as the high-Tc cuprates [7] or ultra-cold atoms in optical lattices [16].”
Ultralong-range molecule engineering via Rydberg dressing
Wang, J., & Côté, R. (2019) · doi:10.1103/physrevresearch.2.023019 · Cited by 2
Finite-time quantum quenches in the XXZ Heisenberg chain
Schoenauer, B., & Schuricht, D. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.100.115418 · Cited by 3
A dual-species magneto-optical trap for lithium and strontium atoms
Ma, X.-B., Ye, Z.-X., Xie, L.-Y., Guo, Z.-D., You, L., & Tey, M. (2019) · doi:10.48550/arxiv.1904.05230 · Cited by 2
Benchmark study of the SF-MI phase transition of the Bose–Hubbard model with density-induced tunneling
Wang, T., & Ying, T. (2019) · Physics Letters · doi:10.1016/j.physleta.2019.01.012 · Cited by 2
Kinetic energy of fermionic systems
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Magnetic Shell Structure of 2D-Trapped Fermi Gases in the Flat-Band Lieb Lattices
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Sub-Doppler laser cooling of $^{39}$K via the 4S$\to$5P transition
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“The ability to reach ultralow temperatures and quantum degeneracy by these techniques has heralded a whole series of experiments, such as precision measurements [4, 5], quantum simulations [6, 7], studies of out-of-equilibrium many-body dynamics [8] and impurity dynamics measurements in low dimensions [9–12].”
Background
Optimal quantum engineering
Zoller, J. K. (2018) · OPen Access Repositorium der Universität Ulm (OPARU) (Ulm University) · doi:10.18725/oparu-10199 · Cited by 2
“In our case an increased BEC atom number, NBEC, will provide significantly improved initial conditions for subsequent quantum simulation experiments using optical lattices [275].”
Signatures of correlated magnetic phases in the two-spin density matrix
Huber, S., Grusdt, F., & Punk, M. (2018) · Physical Review A · doi:10.1103/physreva.99.023617 · Cited by 2
Dynamically tunable optical lattice based on optics and magnetism with nitrogen-vacancy center in diamond
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Construction of two-dimensional arbitrary shape 87Rb atomic array based on spatial light modulator
Wang, L.-W., Liu, F.-D., Li, Y., Han, W., Meng, Z., & Zhang, J. (2023) · Acta Physica Sinica · doi:10.7498/aps.72.20222096 · Cited by 2

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

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Quantum simulations with ultracold atoms in optical lattices

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