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Title: Thermodynamics of balanced and slightly spin-imbalanced Fermi gases at unitarity

Abstract

In this article we present a Monte Carlo calculation of the critical temperature and other thermodynamic quantities for the unitary Fermi gas with a population imbalance (unequal number of fermions in the two spin components). We describe an improved worm-type algorithm that is less prone to autocorrelations than the previously available methods and show how this algorithm can be applied to simulate the unitary Fermi gas in presence of a small imbalance. Our data indicate that the critical temperature remains almost constant for small imbalances h={Delta}{mu}/{epsilon}{sub F} < or approx. 0.2. We obtain the continuum result T{sub c}=0.171(5){epsilon}{sub F} in units of Fermi energy and derive a lower bound on the deviation of the critical temperature from the balanced limit, T{sub c}(h)-T{sub c}(0)>-0.5{epsilon}{sub F}h{sup 2}. Using an additional assumption a tighter lower bound can be obtained. We also calculate the energy per particle and the chemical potential in the balanced and imbalanced cases.

Authors:
;  [1]
  1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Centre for Mathematical Sciences, Cambridge CB3 0WA (United Kingdom)
Publication Date:
OSTI Identifier:
21528701
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 82; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.82.053621; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 74 ATOMIC AND MOLECULAR PHYSICS; ALGORITHMS; CORRELATIONS; CRITICAL TEMPERATURE; FERMI GAS; FERMIONS; MONTE CARLO METHOD; POTENTIALS; SPIN; THERMODYNAMICS; UNITARITY; ANGULAR MOMENTUM; CALCULATION METHODS; MATHEMATICAL LOGIC; PARTICLE PROPERTIES; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES; TRANSITION TEMPERATURE

Citation Formats

Goulko, Olga, and Wingate, Matthew. Thermodynamics of balanced and slightly spin-imbalanced Fermi gases at unitarity. United States: N. p., 2010. Web. doi:10.1103/PHYSREVA.82.053621.
Goulko, Olga, & Wingate, Matthew. Thermodynamics of balanced and slightly spin-imbalanced Fermi gases at unitarity. United States. https://doi.org/10.1103/PHYSREVA.82.053621
Goulko, Olga, and Wingate, Matthew. Mon . "Thermodynamics of balanced and slightly spin-imbalanced Fermi gases at unitarity". United States. https://doi.org/10.1103/PHYSREVA.82.053621.
@article{osti_21528701,
title = {Thermodynamics of balanced and slightly spin-imbalanced Fermi gases at unitarity},
author = {Goulko, Olga and Wingate, Matthew},
abstractNote = {In this article we present a Monte Carlo calculation of the critical temperature and other thermodynamic quantities for the unitary Fermi gas with a population imbalance (unequal number of fermions in the two spin components). We describe an improved worm-type algorithm that is less prone to autocorrelations than the previously available methods and show how this algorithm can be applied to simulate the unitary Fermi gas in presence of a small imbalance. Our data indicate that the critical temperature remains almost constant for small imbalances h={Delta}{mu}/{epsilon}{sub F} < or approx. 0.2. We obtain the continuum result T{sub c}=0.171(5){epsilon}{sub F} in units of Fermi energy and derive a lower bound on the deviation of the critical temperature from the balanced limit, T{sub c}(h)-T{sub c}(0)>-0.5{epsilon}{sub F}h{sup 2}. Using an additional assumption a tighter lower bound can be obtained. We also calculate the energy per particle and the chemical potential in the balanced and imbalanced cases.},
doi = {10.1103/PHYSREVA.82.053621},
url = {https://www.osti.gov/biblio/21528701}, journal = {Physical Review. A},
issn = {1050-2947},
number = 5,
volume = 82,
place = {United States},
year = {2010},
month = {11}
}