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Monte Carlo Calculations for Fermi Gases in the Unitary Limit with a Zero-Range Interaction

Authors
  • Pessoa, Renato1, 2
  • Vitiello, S. A.3
  • Schmidt, K. E.2
  • 1 Universidade Federal de Goiás (UFG), Instituto de Física, Goiânia, GO, 74001-970, Brazil , Goiânia (Brazil)
  • 2 Arizona State University, Department of Physics and Astronomy, Tempe, Arizona, 85287, USA , Tempe (United States)
  • 3 Universidade Estadual de Campinas - UNICAMP, Instituto de Física Gleb Wataghin, Campinas, SP, 13083-970, Brazil , Campinas (Brazil)
Type
Published Article
Journal
Journal of Low Temperature Physics
Publisher
Springer US
Publication Date
Feb 25, 2015
Volume
180
Issue
1-2
Pages
168–179
Identifiers
DOI: 10.1007/s10909-015-1283-0
Source
Springer Nature
Keywords
License
Yellow

Abstract

An ultracold Fermi gas with a zero-range attractive potential in the unitary limit is investigated using variational and diffusion Monte Carlo methods. Previous calculations have used a finite-range interaction and extrapolate the results to zero-range. Here we extend the quantum Monte Carlo method to directly use a zero-range interaction without the need of an extrapolation. We employ a trial wave function with the correct boundary conditions and modify the sampling procedures to handle the zero-range interaction. The results are reliable and have low variance.

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