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Article
Compressibility of a Fermionic Mott Insulator of Ultracold Atoms
Physical Review Letters (2015)
  • Pedro M. Duarte, Rice University
  • Russell A. Hart, Rice University
  • Tsung-Lin Yang, Rice University
  • Xinxing Liu, Rice University
  • Thereza Paiva, Universidade Federal do Rio de Janeiro
  • Ehsan Khatami, San Jose State University
  • Richard T. Scalettar, University of California, Davis
  • Nandini Trivedi, Ohio State University - Main Campus
  • Randall G. Hulet, Rice University
Abstract
We characterize the Mott insulating regime of a repulsively interacting Fermi gas of ultracold atoms in a three-dimensional optical lattice. We use in situ imaging to extract the central density of the gas and to determine its local compressibility. For intermediate to strong interactions, we observe the emergence of a plateau in the density as a function of atom number, and a reduction of the compressibility at a density of one atom per site, indicating the formation of a Mott insulator. Comparisons to state-of-the-art numerical simulations of the Hubbard model over a wide range of interactions reveal that the temperature of the gas is of the order of, or below, the tunneling energy scale. Our results hold great promise for the exploration of many-body phenomena with ultracold atoms, where the local compressibility can be a useful tool to detect signatures of different phases or phase boundaries at specific values of the filling.
Publication Date
February, 2015
DOI
10.1103/PhysRevLett.114.070403
Publisher Statement
This article originally appeared in Physical Review Letters, volume 114, issue 7, 2015, published by the American Physical Society. ©2015 American Physical Society. The article can also be found online at this link.

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Citation Information
Pedro M. Duarte, Russell A. Hart, Tsung-Lin Yang, Xinxing Liu, et al.. "Compressibility of a Fermionic Mott Insulator of Ultracold Atoms" Physical Review Letters Vol. 114 Iss. 7 (2015) ISSN: 0031-9007
Available at: http://works.bepress.com/ehsan_khatami/25/