Single-particle spectral density of the unitary Fermi gas: Novel approach based on the operator product expansion, sum rules and the maximum entropy method

Philipp Gubler, Naoki Yamamoto, Tetsuo Hatsuda, Yusuke Nishida

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Making use of the operator product expansion, we derive a general class of sum rules for the imaginary part of the single-particle self-energy of the unitary Fermi gas. The sum rules are analyzed numerically with the help of the maximum entropy method, which allows us to extract the single-particle spectral density as a function of both energy and momentum. These spectral densities contain basic information on the properties of the unitary Fermi gas, such as the dispersion relation and the superfluid pairing gap, for which we obtain reasonable agreement with the available results based on quantum Monte-Carlo simulations.

Original languageEnglish
Pages (from-to)467-497
Number of pages31
JournalAnnals of Physics
Volume356
DOIs
Publication statusPublished - 2015 May 1

Keywords

  • Maximum entropy method
  • Operator product expansion
  • Sum rules
  • Unitary Fermi gas

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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