Quantitative Determination of Temperature in the Approach to Magnetic Order of Ultracold Fermions in an Optical Lattice
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We perform a quantitative simulation of the repulsive Fermi-Hubbard model using an ultracold gas trapped in an optical lattice. The entropy of the system is determined by comparing accurate measurements of the equilibrium double occupancy with theoretical calculations over a wide range of parameters. We demonstrate the applicability of both high-temperature series and dynamical mean-field theory to obtain quantitative agreement with the experimental data. The reliability of the entropy determination is confirmed by a comprehensive analysis of all systematic errors. In the center of the Mott insulating cloud we obtain an entropy per atom as low as 0.77k(B) which is about twice as large as the entropy at the Néel transition. The corresponding temperature depends on the atom number and for small fillings reaches values on the order of the tunneling energy.
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The most advanced experiments with AQSs have been with ultracold atoms in optical lattices.
“The most advanced experiments with AQSs have been with ultracold atoms in optical lattices [3, 5-15, 19, 71].”
From Can one trust quantum simulators? (2012) · cites this paper as [8]
Validation of quantum simulator results against analytical and numerical predictions in the regime where comparison is possible was recently demonstrated in experiments with ultracold bosonic and fermionic atoms.
“This was recently demonstrated in experiments with ultracold bosonic and fermionic atoms [6-8];”
From Can one trust quantum simulators? (2012) · cites this paper as [8]
In one case, numerical simulations helped to correct the expected experimental temperature by up to 30%.
“amazingly, in one case numerical simulations helped to correct the expected experimental temperature by up to 30% .”
From Can one trust quantum simulators? (2012) · cites this paper as [8]
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- S. Trotzky et al., arXiv:0905.4882v1. · arXiv
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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 · see citing works
- Authors
- Jördens, R., Tarruell, L., Greif, D., Uehlinger, T., Strohmaier, N., Moritz, H., Esslinger, T., De Leo, L., Kollath, C., Georges, A., Scarola, V., Pollet, L., Burovski, E., Kozik, E., & Troyer, M.
- Affiliations
- ETH Zurich (CH)
- Centre National de la Recherche Scientifique (FR)
- Virginia Tech (US)
- Harvard University (US)
- Université Paris-Sud (FR)
- ORCID
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2010-05-06
- Volume
- 104
- Issue
- 18
- Pages
- 180401-180401
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2029204819
- Cited by
- 156
- References
- 30
- Citations by year
- 2026: 1 · 2025: 2 · 2024: 2 · 2023: 1 · 2022: 2 · 2021: 5 · 2020: 3 · 2019: 3 · 2018: 8 · 2017: 4 · 2016: 15 · 2015: 11 · 2014: 14 · 2013: 19 · 2012: 32
- FWCI
- 14.52
- Type
- journal article
- Language
- en
- Open access
- green
- eprints.lancs.ac.uk
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Lancaster EPrints (Lancaster University) (acceptedVersion)
- arXiv (Cornell University) (submittedVersion)
- VTechWorks (Virginia Tech) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Agence Nationale de la Recherche
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
- Defense Advanced Research Projects Agency
- 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 › Physics of Superconductivity and Magnetism
- Keywords
- ultracold fermions, optical lattices, magnetic ordering, entropy, double occupancy, Mott insulator, Néel transition, dynamical mean-field theory, high-temperature expansion, temperature determination, tunneling energy
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