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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For the TIM, for low fields the ground state is a ferromagnet, while for large fields it is a paramagnet.
“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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“A quantum simulation of the Mott insulator-superfluid phase transition in the Hubbard model can be realized by adjusting the depth of the optical lattice, which mainly modifies the tunneling strength and to a lesser extent modifies the on-site interaction strength, or by controlling the on-site interactions via Feschb…”
BackgroundMethodInfluentialQuantum simulations with ultracold quantum gases
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- 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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