2019年3月12日
Experimental determination of Bose-Hubbard energies
Physical Review A
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- 巻
- 99
- 号
- 3
- 記述言語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1103/PhysRevA.99.033609
We present an experimental measurement of the ensemble averages of both the kinetic and interaction energies of the three-dimensional Bose-Hubbard model at finite temperature and various optical lattice depths across weakly to strongly interacting regimes, for an almost unit filling factor within single-band tight-binding approximation. The kinetic energy is obtained through Fourier transformation of a time-of-flight signal, and the interaction energy is measured using a newly developed atom-number-projection spectroscopy technique, by exploiting an ultranarrow optical transition of two-electron atoms. The obtained experimental results can be used as benchmarks for state-of-the-art numerical methods of quantum many-body theory. As an illustrative example, we compare the measured energies with numerical calculations involving the Gutzwiller and cluster-Gutzwiller approximations, assuming realistic trap potentials and particle numbers at nonzero entropy (finite temperature); we obtain good agreement without fitting parameters. We also discuss the possible application of this method to temperature estimations for atoms in optical lattices using the thermodynamic relation. This study offers a unique advantage of cold atom system for "quantum simulators."
- リンク情報
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- DOI
- https://doi.org/10.1103/PhysRevA.99.033609
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000461050600008&DestApp=WOS_CPL
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- https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85062868615&origin=inward 本文へのリンクあり
- Scopus Citedby
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- ID情報
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- DOI : 10.1103/PhysRevA.99.033609
- ISSN : 2469-9926
- eISSN : 2469-9934
- SCOPUS ID : 85062868615
- Web of Science ID : WOS:000461050600008