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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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Controlling quantum phases of electrons and excitons in moiré superlattices
Zhang, L.-F., Ni, R.-H., & Zhou, Y. (2023) · Journal of Applied Physics · doi:10.1063/5.0139179 · Cited by 19
Protocols for classically training quantum generative models on probability distributions
Kasture, S., Kyriienko, O., & Elfving, V. E. (2023) · Physical Review A · doi:10.1103/physreva.108.042406 · Cited by 17
Buser, M., Schollwöck, U., & Grusdt, F. (2021) · Physical Review A · doi:10.1103/physreva.105.033303 · Cited by 19
Huang, T.-S., Baldwin, C., Hafezi, M., & Galitski, V. (2020) · Physical review B · doi:10.1103/physrevb.107.075111 · Cited by 19
“[30] Christian Gross and Immanuel Bloch, “Quantum simulations with ultracold atoms in optical lattices,” Science 357, 995 (2017).”
BackgroundMulti-qubit quantum computing using discrete-time quantum walks on closed graphs
Chawla, P., Singh, S., Agarwal, A., Srinivasan, S., & Chandrashekar, C. M. (2023) · Scientific Reports · doi:10.1038/s41598-023-39061-1 · Cited by 16
“Physical systems like, superconducting circuits [1, 2], nuclear magnetic resonance (NMR) systems [3–6], ion traps [7, 8], ultra-cold atoms in optical lattice [9, 10] and photonics [11–13] have been successfully engineered to demonstrate small scale quantum processors and implement quantum simulations and computational…”
BackgroundBiałończyk, M., & Damski, B. (2020) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/ab609a · Cited by 29
Quench dynamics of Rydberg-dressed bosons on two-dimensional square lattices
Zhou, Y., Li, Y., Nath, R., & Li, W. (2020) · Physical Review A · doi:10.1103/physreva.101.013427 · Cited by 26
Universal scrambling in gapless quantum spin chains
Nakamura, S., Iyoda, E., Deguchi, T., & Sagawa, T. (2019) · Physical review B · doi:10.1103/physrevb.99.224305 · Cited by 19
Wolff, S., Bernier, J.-S., Poletti, D., Sheikhan, A., & Kollath, C. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.100.165144 · Cited by 22
Signature of the s-Wave Regime High above Ultralow Temperatures.
Côté, R., & Simbotin, I. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.173401 · Cited by 19
Ultra-cold atoms as quantum simulators for relativistic phenomena
Schützhold, R. (2025) · Progress in Particle and Nuclear Physics · doi:10.1016/j.ppnp.2025.104198 · Cited by 15
Spin Liquid and Superconductivity Emerging from Steady States and Measurements.
Su, K., Sarma, A., Bintz, M., Kiely, T. G., Bao, Y.-M., Fisher, M. P. A., & Xu, C.-K. (2024) · Physical Review Letters · doi:10.1103/pjs3-14cc · Cited by 18
Simulating open quantum systems with giant atoms
Chen, G., & Kockum, A. F. (2025) · Quantum Science and Technology · doi:10.1088/2058-9565/adb2bd · Cited by 14
Floquet engineered inhomogeneous quantum chaos in critical systems
Lapierre, B., Numasawa, T., Neupert, T., & Ryu, S. (2024) · Physical review B · doi:10.1103/cn3z-vfgr · Cited by 18
Strong Spin-Motion Coupling in the Ultrafast Dynamics of Rydberg Atoms
Bharti, V., Sugawa, S., Kunimi, M., Chauhan, V. S., Mahesh, T. P., Mizoguchi, M., Matsubara, T., Tomita, T., de Léséleuc, S., & Ohmori, K. (2024) · Physical Review Letters · doi:10.1103/physrevlett.133.093405 · Cited by 18
Baldelli, N., Cabrera, C. R., Julià-Farré, S., Aidelsburger, M., & Barbiero, L. (2024) · Physical Review Letters · doi:10.1103/physrevlett.132.153401 · Cited by 23
Design and construction of a quantum matter synthesizer
Trisnadi, J., Zhang, M., Weiss, L. S., & Chin, C. (2022) · Review of Scientific Instruments · doi:10.1063/5.0100088 · Cited by 19
Fermionic Correlation Functions from Randomized Measurements in Programmable Atomic Quantum Devices
Naldesi, P., Elben, A., Minguzzi, A., Clément, D., Zoller, P., & Vermersch, B. (2023) · Physical Review Letters · doi:10.1103/physrevlett.131.060601 · Cited by 20
Bridging the gap between classical and quantum many-body information dynamics
Pizzi, A., Malz, D., Nunnenkamp, A., & Knolle, J. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.106.214303 · Cited by 22
Spatial structure of magnetic polarons in strongly interacting antiferromagnets
Nielsen, K. K., Bastarrachea-Magnani, M. A., Pohl, T., & Bruun, G. M. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.104.155136 · Cited by 26
Deterministic Fast Scrambling with Neutral Atom Arrays
Hashizume, T., Bentsen, G. S., Weber, S., & Daley, A. J. (2021) · Physical Review Letters · doi:10.1103/physrevlett.126.200603 · Cited by 20
“[16] Christian Gross and Immanuel Bloch, “Quantum simulations with ultracold atoms in optical lattices,” Science 357, 995–1001 (2017).”
BackgroundŚmiałkowski, M., & Tomza, M. (2020) · Physical Review A · doi:10.1103/physreva.103.022802 · Cited by 18
Quantum quasi Monte Carlo algorithm for out-of-equilibrium Green functions at long times
Bertrand, C., Bauernfeind, D., Dumitrescu, P. T., Maček, M., Waintal, X., & Parcollet, O. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.103.155104 · Cited by 28
“At the same time, recent experimental developments have allowed unprecedented precision in characterizing quantum many-body states – in systems as varied as atomic gases [1], trapped Rydberg atoms [2] trapped ions [3], nano-electronic devices [4–7] – where quantitative numerical predictions can provide valuable compar…”
BackgroundPłodzień, M., Kościelski, M., Witkowska, E., & Sinatra, A. (2020) · Physical Review A · doi:10.1103/physreva.102.013328 · Cited by 18
Numerical Verification of the Fluctuation-Dissipation Theorem for Isolated Quantum Systems
Noh, J. D., Sagawa, T., & Yeo, J. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.050603 · Cited by 17
“[5] Christian Gross and Immanuel Bloch, “Quantum simulations with ultracold atoms in optical lattices,” Science 357, 995–1001 (2017).”
BackgroundAdiabatic preparation of entangled, magnetically ordered states with cold bosons in optical lattices
Venegas‐Gomez, A., Schachenmayer, J., Buyskikh, A. S., Ketterle, W., Chiofalo, M. L., & Daley, A. J. (2020) · Quantum Science and Technology · doi:10.1088/2058-9565/abb004 · Cited by 15
Schemes for nondestructive quantum gas microscopy of single atoms in an optical lattice
Okuno, D., Amano, Y., Enomoto, K., Takei, N., & Takahashi, Y. (2020) · New Journal of Physics · doi:10.1088/1367-2630/ab6af9 · Cited by 18
Quantum advantage from energy measurements of many-body quantum systems
Novo, L., Bermejo-Vega, J., & García−Patrón, R. (2021) · Quantum · doi:10.22331/q-2021-06-02-465 · Cited by 14
“Without loss of generality, we assume all observables throughout the text to have spectra contained in [0, 1]: any observable can be written in this form via a suitable rescaling.”
BackgroundInfluentialCollective motion of an atom array under laser illumination
Shahmoon, E., Lukin, M., & Yelin, S. (2018) · Advances In Atomic, Molecular, and Optical Physics · doi:10.1016/bs.aamop.2019.03.001 · Cited by 18
High-efficiency cold-atom transport into a waveguide trap
Hilton, A., Perrella, C., Benabid, F., Sparkes, B., Luiten, A., & Light, P. (2018) · Physical Review Applied · doi:10.1103/physrevapplied.10.044034 · Cited by 18
“Cold atoms have been a transformational tool for sensing [1–3], measurement [4–8], emulation [9] and simulation [10, 11].”
MethodTopological physics in quantum critical systems
Yu, X.-J., Xu, L., & Lin, H. (2025) · Physics Reports · doi:10.1016/j.physrep.2025.10.005 · Cited by 10
Terahertz 2D coherent spectroscopy for probing and controlling multicorrelations in quantum matter
Huang, C., Mootz, M., Luo, L., Perakis, I. E., & Wang, J. (2026) · Nature Reviews Physics · doi:10.1038/s42254-025-00917-2 · Cited by 12
Mixed State Deep Thermalization.
Yu, X.-H., Ho, W.-W., & Kos, P. (2025) · Physical Review Letters · doi:10.1103/t6zs-3f8k · Cited by 17
“Recent advances in controlling and probing modern-day quantum simulator experiments [5–13] have suggested that this framework might, in some cases, be insufficient: in many such platforms, global measurements can be performed, such that some (classical) information of the bath B might be recorded…”
Efficiently Measuring d -Wave Pairing and Beyond in Quantum Gas Microscopes
Mark, D. K., Hu, H.-Y., Kwan, J., Kokail, C., Choi, S., & Yelin, S. F. (2025) · Physical Review Letters · doi:10.1103/dqyf-kl8x · Cited by 13
Ganguli, M., Aditya, S., & Sen, D. (2024) · Physical review B · doi:10.1103/physrevb.111.045411 · Cited by 17
Towards Explainable Artificial Intelligence (XAI): A Data Mining PerspectivePreprint
Xiong, H., Li, X., Zhang, X., Chen, J., Sun, X., Li, Y., Sun, Z., & Du, M. (2024) · arXiv (Cornell University) · doi:10.48550/arxiv.2401.04374 · Cited by 20
“In the realm of scientific discovery, data types range from genomic sequences [160] to quantum system properties [158], passing through molecular structures for drug discovery [270] and clinical imaging data for healthcare applications [152].”
BackgroundProbing spin hydrodynamics on a superconducting quantum simulator
Shi, Y., Sun, Z., Wang, Y.-Y., Wang, Z., Zhang, Y.-R., Ma, W.-G., Liu, H.-T., Zhao, K., Song, J., Liang, G.-H., et al. (2024) · Nature Communications · doi:10.1038/s41467-024-52082-2 · Cited by 20
“…work can be naturally extended to explore the non-trivial transport properties on other analog quantum simulators, including the Rydberg atoms 42,65 – 67 , quantum gas microscopes 68,69 , and the superconducting circuits with a central resonance bus, which enables long-range interactions 21,70,71 .”
Localization and spectral structure in two-dimensional quasicrystal potentials
Zhu, Z., Yu, S., Johnstone, D., & Sanchez-Palencia, L. (2023) · Physical Review A · doi:10.1103/physreva.109.013314 · Cited by 17
Phase diagram for strong-coupling Bose polarons
Christianen, A., Cirac, J. I., & Schmidt, R. (2023) · SciPost Physics · doi:10.21468/scipostphys.16.3.067 · Cited by 17
Sarkar, S., & Dubi, Y. (2022) · Nano letters (Print) · doi:10.1021/acs.nanolett.2c00976 · Cited by 17
Nonequilibrium Hole Dynamics in Antiferromagnets: Damped Strings and Polarons.
Nielsen, K. K., Pohl, T., & Bruun, G. (2022) · Physical Review Letters · doi:10.1103/physrevlett.129.246601 · Cited by 17
Ibarra-García-Padilla, E., Mukherjee, R., Hulet, R. G., Hazzard, K. R. A., Paiva, T., & Scalettar, R. T. (2020) · Physical Review A · doi:10.1103/physreva.102.033340 · Cited by 23
Improved walker population control for full configuration interaction quantum Monte Carlo.
Yang, M.-R., Pahl, E., & Brand, J. (2020) · Journal of Chemical Physics · doi:10.1063/5.0023088 · Cited by 17
“[29] Christian Gross and Immanuel Bloch, “Quantum simulations with ultracold atoms in optical lattices,” Science 357, 995–1001 (2017).”
BackgroundStaggered superfluid phases of dipolar bosons in two-dimensional square lattices
Suthar, K., Kraus, R., Sable, H., Angom, D., Morigi, G., & Zakrzewski, J. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.102.214503 · Cited by 17
Feedback induced magnetic phases in binary Bose-Einstein condensates
Hurst, H. M., Guo, S., & Spielman, I. B. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.043325 · Cited by 16
Specific heat maximum as a signature of Mott physics in the two-dimensional Hubbard model
Sordi, G., Walsh, C., Semon, P., & Tremblay, A. (2019) · Physical review B · doi:10.1103/physrevb.100.121105 · Cited by 17
“[40] Christian Gross and Immanuel Bloch, “Quantum simulations with ultracold atoms in optical lattices,” Science 357, 995–1001 (2017).”
BackgroundArtificial gauge fields and topology with ultracold atoms in optical lattices
Aidelsburger, M. (2018) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/1361-6455/aac120 · Cited by 32
Attractive Dipolar Coupling between Stacked Exciton Fluids
Hubert, C., Baruchi, Y., Mazuz-Harpaz, Y., Cohen, K., Biermann, K., Lemeshko, M., West, K., Pfeiffer, L., Rapaport, R., & Santos, P. (2018) · Physical Review X · doi:10.1103/physrevx.9.021026 · Cited by 17
“Finally, the present investigations represent a first step towards for the realization in the solid state of dipolar lattices with anisotropic interactions, thus the mimicking optical lattices of cold magnetic [49] or electric dipoles [3] presently proposed for quantum simulation [12,13].”
BackgroundRealization of Hilbert Space Fragmentation and Fracton Dynamics in Two Dimensions.
Will, M., Moessner, R., & Pollmann, F. (2024) · Physical Review Letters · doi:10.1103/physrevlett.133.196301 · Cited by 16
Interacting Circular Rydberg Atoms Trapped in Optical Tweezers
Méhaignerie, P., Machu, Y., Hernández, A. D., Creutzer, G., Papoular, D. J., Raimond, J. M., Sayrin, C., & Brune, M. (2025) · PRX Quantum · doi:10.1103/prxquantum.6.010353 · Cited by 19
Yao, H., Tanzi, L., Sanchez-Palencia, L., Giamarchi, T., Modugno, G. C., & D’Errico, C. (2024) · Physical Review Letters · doi:10.1103/physrevlett.133.123401 · Cited by 11
“Experiments with ultracold atoms in optical lattices allow for in-depth investigation of many-body physics in a broad range of models [16–18] and proved instrumental for direct observation and characterization of Mott phases for both Bose [15, 19, 20] and Fermi [21, 22] systems, first in three…”
MethodManybody interferometry of quantum fluids
Roberts, G., Vrajitoarea, A., Saxberg, B., Panetta, M. G., Simon, J., & Schuster, D. (2024) · Science Advances · doi:10.1126/sciadv.ado1069 · Cited by 14
“From semiconductor heterostructures [1] and 2D materials [2] to synthetic atomic [3], photonic [4, 5] and ionic [6] quantum matter, progress in preparation of manybody quantum states is accelerating, opening the door to new approaches to state characterization.”
Background
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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