論文

査読有り 本文へのリンクあり
2019年3月12日

Experimental determination of Bose-Hubbard energies

Physical Review A
  • Yusuke Nakamura
  • ,
  • Yosuke Takasu
  • ,
  • Jun Kobayashi
  • ,
  • Hiroto Asaka
  • ,
  • Yoshiaki Fukushima
  • ,
  • Kensuke Inaba
  • ,
  • Makoto Yamashita
  • ,
  • Yoshiro Takahashi

99
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
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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ID情報
  • DOI : 10.1103/PhysRevA.99.033609
  • ISSN : 2469-9926
  • eISSN : 2469-9934
  • SCOPUS ID : 85062868615
  • Web of Science ID : WOS:000461050600008

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