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Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
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We review recent developments in the physics of ultracold atomic and molecular gases in optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard models, and as such may very well serve to mimic condensed matter phenomena. We show how these systems may be employed as quantum simulators to answer some challenging open questions of condensed matter, and even high energy physics. After a short presentation of the models and the methods of treatment of such systems, we discuss in detail, which challenges of condensed matter physics can be addressed with (i) disordered ultracold lattice gases, (ii) frustrated ultracold gases, (iii) spinor lattice gases, (iv) lattice gases in “artificial” magnetic fields, and, last but not least, (v) quantum information processing in lattice gases. For completeness, also some recent progress related to the above topics with trapped cold gases will be discussed. Motto: There are more things in heaven and earth, Horatio, Than are dreamt of in your philosophy Citation1
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“This model is well studied (see for instance [179]): for low fields, the ground state is a ferromagnet, while for large fields it is a paramagnet.”
From Can one trust quantum simulators? (2012) · cites this paper as [179]
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“Quantum degenerate atomic gases with their unique degree of control are particularly adapted for experimental quench studies (2, 3).”
BackgroundNonlinear waves in Bose–Einstein condensates: physical relevance and mathematical techniques
Carretero-González, R., Frantzeskakis, D. J., & Kevrekidis, P. G. (2008) · Nonlinearity · doi:10.1088/0951-7715/21/7/r01 · Cited by 335
Quantum Simulation of an Extra Dimension
Boada, O., Celi, A., Latorre, J. I., & Lewenstein, M. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.133001 · Cited by 335
Self-citationUniversality of phase transition dynamics: Topological defects from symmetry breaking
del Campo, A., & Zurek, W. H. (2014) · International Journal of Modern Physics A · doi:10.1142/s0217751x1430018x · Cited by 364
Multi-component quantum gases in spin-dependent hexagonal lattices
Soltan-Panahi, P., Struck, J., Hauke, P., Bick, A., Plenkers, W., Meineke, G., Becker, C., Windpassinger, P., Lewenstein, M., & Sengstock, K. (2011) · Nature Physics · doi:10.1038/nphys1916 · Cited by 328
Self-citationEvidence for orbital superfluidity in the P-band of a bipartite optical square lattice
Wirth, G., Ölschläger, M., & Hemmerich, A. (2010) · Nature Physics · doi:10.1038/nphys1857 · Cited by 328
Realistic Time-Reversal Invariant Topological Insulators with Neutral Atoms
Goldman, N., Satija, I., Nikolic, P., Bermudez, A., Martin-Delgado, M. A., Lewenstein, M., & Spielman, I. B. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.255302 · Cited by 299
Self-citationLong-range interacting quantum systems
Defenu, N., Donner, T., Macrì, T., Pagano, G., Ruffo, S., & Trombettoni, A. (2023) · Reviews of Modern Physics · doi:10.1103/revmodphys.95.035002 · Cited by 394
Dipole blockade in a cold Rydberg atomic sample [Invited]
Comparat, D., & Pillet, P. (2010) · Journal of the Optical Society of America B · doi:10.1364/josab.27.00a208 · Cited by 318
Topological quantum matter with cold atoms
Zhang, D.-W., Zhu, Y.-Q., Zhao, Y. X., Yan, H., & Zhu, S.-L. (2018) · Advances In Physics · doi:10.1080/00018732.2019.1594094 · Cited by 329
Quantum simulations and many-body physics with light
Noh, C., & Angelakis, D. G. (2016) · Reports on Progress in Physics · doi:10.1088/0034-4885/80/1/016401 · Cited by 331
Engineered Open Systems and Quantum Simulations with Atoms and Ions
Müller, M., Diehl, S., Pupillo, G., & Zoller, P. (2012) · Advances in atomic, molecular, and optical physics · doi:10.1016/b978-0-12-396482-3.00001-6 · Cited by 337
Circuit QED lattices: Towards quantum simulation with superconducting circuits
Schmidt, S., & Koch, J. (2013) · Annalen der Physik · doi:10.1002/andp.201200261 · Cited by 318
Can one trust quantum simulators?
Hauke, P., Cucchietti, F. M., Tagliacozzo, L., Deutsch, I., & Lewenstein, M. (2012) · Reports on Progress in Physics · doi:10.1088/0034-4885/75/8/082401 · Cited by 315
Self-citationObservation of Correlated Particle-Hole Pairs and String Order in Low-Dimensional Mott Insulators
Endres, M., Cheneau, M., Fukuhara, T., Weitenberg, C., Schauß, P., Gross, C., Mazza, L., Bañuls, M. C., Pollet, L., Bloch, I., et al. (2011) · Science · doi:10.1126/science.1209284 · Cited by 315
Single Dirac cone with a flat band touching on line-centered-square optical lattices
Shen, R., Shao, L. B., Wang, B., & Xing, D. Y. (2010) · Physical Review B · doi:10.1103/physrevb.81.041410 · Cited by 302
Time-resolved observation of coherent multi-body interactions in quantum phase revivals
Will, S., Best, T., Schneider, U., Hackermüller, L., Lühmann, D.-S., & Bloch, I. (2010) · Nature · doi:10.1038/nature09036 · Cited by 284
Manipulation of molecules with electromagnetic fields
Lemeshko, M., Krems, R. V., Doyle, J. M., & Kais, S. (2013) · Molecular Physics · doi:10.1080/00268976.2013.813595 · Cited by 279
Monte Carlo study of the two-dimensional Bose-Hubbard model
Capogrosso-Sansone, B., Söyler, Ş. G., Prokof'ev, N. V., & Svistunov, B. V. (2008) · Physical Review A · doi:10.1103/physreva.77.015602 · Cited by 289
Finite-temperature models of Bose–Einstein condensation
Proukakis, N. P., & Jackson, B. (2008) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/0953-4075/41/20/203002 · Cited by 295
Tomza, M., Jachymski, K., Gerritsma, R., Negretti, A., Calarco, T., Idziaszek, Z., & Julienne, P. S. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.035001 · Cited by 285
“Experiments on trapped ultracold atoms connect quantum optics and atomic physics with condensed-matter and solid-state physics (Lewenstein et al., 2007).”
BackgroundQuantum Many-Body Phenomena in Coupled Cavity Arrays
Hartmann, M., Brandão, F., & Plenio, M. B. (2008) · CaltechAUTHORS (California Institute of Technology) · Cited by 274
Universal few-body physics and cluster formation
Greene, C. H., Giannakeas, P., & Pérez‐Ríos, J. (2017) · Reviews of Modern Physics · doi:10.1103/revmodphys.89.035006 · Cited by 250
Charger-mediated energy transfer in exactly solvable models for quantum batteries
Andolina, G. M., Farina, D., Mari, A., Pellegrini, V., Giovannetti, V., & Polini, M. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.98.205423 · Cited by 259
Measurement of the mobility edge for 3D Anderson localization
Semeghini, G., Landini, M., Castilho, P. C. M., Roy, S., Spagnolli, G., Trenkwalder, A., Fattori, M., Inguscio, M., & Modugno, G. C. (2015) · Nature Physics · doi:10.1038/nphys3339 · Cited by 250
Finite Temperature Models of Bose-Einstein condensationPreprint
Proukakis, N. P., & Jackson, B. (2012) · Cited by 280
Anderson localization in Bose–Einstein condensates
Modugno, G. C. (2010) · Reports on Progress in Physics · doi:10.1088/0034-4885/73/10/102401 · Cited by 251
Mobility edges in one-dimensional bichromatic incommensurate potentials
Li, X., Li, X., & Sarma, S. D. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.96.085119 · Cited by 251
Hermele, M., Gurarie, V., & Rey, A. M. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.135301 · Cited by 247
Topological phases for fermionic cold atoms on the Lieb lattice
Goldman, N., Urban, D. F., & Bercioux, D. (2011) · Physical Review A · doi:10.1103/physreva.83.063601 · Cited by 241
Identifying quantum phase transitions using artificial neural networks on experimental data
Rem, B. S., Käming, N., Tarnowski, M., Asteria, L., Fläschner, N., Becker, C., Sengstock, K., & Weitenberg, C. (2019) · Nature Physics · doi:10.1038/s41567-019-0554-0 · Cited by 237
Ultracold quantum gases in triangular optical lattices
Becker, C., Soltan-Panahi, P., Kronjäger, J., Dörscher, S., Bongs, K., & Sengstock, K. (2010) · New Journal of Physics · doi:10.1088/1367-2630/12/6/065025 · Cited by 244
Adams, A. W., Carr, L. D., Schäfer, T., Steinberg, P. A., & Thomas, J. E. (2012) · New Journal of Physics · doi:10.1088/1367-2630/14/11/115009 · Cited by 257
Strongly Interacting Bosons in a Disordered Optical Lattice
White, M., Pasienski, M., McKay, D. C., Zhou, S. Q., Ceperley, D. M., & DeMarco, B. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.055301 · Cited by 231
Quantum Quench in an Atomic One-Dimensional Ising Chain
Meinert, F., Mark, M. J., Kirilov, E., Lauber, K., Weinmann, P., Daley, A. J., & Nägerl, H. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.053003 · Cited by 229
Schäfer, T., Wentzell, N., Šimkovic, F., He, Y.-Y., Hille, C., Klett, M., Eckhardt, C., Arzhang, B., Harkov, V., Régent, F.-M. L., et al. (2021) · Physical Review X · doi:10.1103/physrevx.11.011058 · Cited by 225
Quantum discord and its allies: a review of recent progress
Bera, A., Das, T., Sadhukhan, D., Roy, S. S., Sen, A., & Sen, U. (2017) · Reports on Progress in Physics · doi:10.1088/1361-6633/aa872f · Cited by 229
Self-citationTwo-Dimensional Mott-Hubbard Electrons in an Artificial Honeycomb Lattice
Singha, A., Gibertini, M., Karmakar, B., Yuan, S., Polini, M., Vignale, G., Katsnelson, M. I., Pinczuk, A., Pfeiffer, L. N., West, K. W., et al. (2011) · Science · doi:10.1126/science.1204333 · Cited by 212
Low-disorder microwave cavity lattices for quantum simulation with photons
Underwood, D. L., Shanks, W. E., Koch, J., & Houck, A. A. (2012) · Physical Review A · doi:10.1103/physreva.86.023837 · Cited by 208
Harnessing the Power of the Second Quantum Revolution
Deutsch, I. H. (2020) · PRX Quantum · doi:10.1103/prxquantum.1.020101 · Cited by 207
“In addition, many workers have pursued quantum simulation of many-body physics as a near-term goal [76–83], both for studies of equilibrium phases of strongly correlated matter and for studies of nonequilibrium dynamics.”
Background
Metadata
- Authors
- Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U.
- Affiliations
- Institució Catalana de Recerca i Estudis Avançats (ES)
- Los Alamos National Laboratory (US)
- ICFO-Institut de Ciències Fotòniques
- Institute of Photonic Sciences (ES)
- Corresponding author
- Sen, Ujjwal
- Venue
- Advances in Physics
- Publisher
- Informa UK Limited
- Published
- 2007-03
- Volume
- 56
- Issue
- 2
- Pages
- 243-379
- ISSN
- 0001-8732 (ISSN-L)
- 1460-6976
- OpenAlex
- W1963988846
- Semantic Scholar
- eaa297a60da9e93cab13ada065aaac0797a33fa7
- Cited by
- 2,104
- References
- 802
- Citations by year
- 2026: 40 · 2025: 83 · 2024: 71 · 2023: 89 · 2022: 82 · 2021: 92 · 2020: 112 · 2019: 87 · 2018: 83 · 2017: 111 · 2016: 127 · 2015: 132 · 2014: 128 · 2013: 149 · 2012: 162
- FWCI
- 82.27
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Advances In Physics (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- Dipòsit Digital de Documents de la UAB (Universitat Autònoma de Barcelona) (submittedVersion, public-domain)
- LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) (submittedVersion, public-domain)
- arXiv (Cornell University)
- 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 › Condensed Matter Physics › Advanced Condensed Matter Physics
- Keywords
- ultracold atoms, optical lattices, quantum simulation, Hubbard model, frustrated lattices, artificial magnetic field, quantum information processing, molecular gas, condensed matter physics
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