Thermodynamics of balanced and slightly spinimbalanced 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 wormtype 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:

 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 10502947
 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 spinimbalanced 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 spinimbalanced 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 spinimbalanced Fermi gases at unitarity". United States. https://doi.org/10.1103/PHYSREVA.82.053621.
@article{osti_21528701,
title = {Thermodynamics of balanced and slightly spinimbalanced 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 wormtype 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 = {10502947},
number = 5,
volume = 82,
place = {United States},
year = {2010},
month = {11}
}