skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Comparison between theory and experiment for universal thermodynamics of a homogeneous, strongly correlated Fermi gas

Abstract

We compare the theoretical predictions for universal thermodynamics of a homogeneous, strongly correlated Fermi gas with the latest experimental measurements reported by the ENS group [S. Nascimbene et al., Nature (London) 463, 1057 (2010)] and the Tokyo group [M. Horikoshi et al., Science 327, 442 (2010)]. The theoretical results are obtained using two diagrammatic theories, together with a virial expansion theory combined with a Pade approximation. We find good agreement between theory and experiment. In particular, the virial expansion, using a Pade approximation up to third order, describes the experimental results extremely well down to the superfluid transition temperature, T{sub c{approx}}0.16T{sub F}, where T{sub F} is the Fermi temperature. The comparison in this work complements our previous comparative study on the universal thermodynamics of a strongly correlated but trapped Fermi gas. The comparison also raises interesting issues about the unitary entropy and the applicability of the Pade approximation.

Authors:
; ;  [1]
  1. ARC Centre of Excellence for Quantum-Atom Optics, Centre for Atom Optics and Ultrafast Spectroscopy, Swinburne University of Technology, Melbourne 3122, Victoria (Australia)
Publication Date:
OSTI Identifier:
21550155
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 83; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.83.063610; (c) 2011 American Institute of Physics; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; COMPARATIVE EVALUATIONS; ENTROPY; FERMI GAS; PADE APPROXIMATION; SUPERFLUIDITY; THERMODYNAMICS; TRANSITION TEMPERATURE; TRAPPING; VIRIAL THEOREM; APPROXIMATIONS; CALCULATION METHODS; EVALUATION; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES

Citation Formats

Hui, Hu, Xiaji, Liu, and Drummond, Peter D. Comparison between theory and experiment for universal thermodynamics of a homogeneous, strongly correlated Fermi gas. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.83.063610.
Hui, Hu, Xiaji, Liu, & Drummond, Peter D. Comparison between theory and experiment for universal thermodynamics of a homogeneous, strongly correlated Fermi gas. United States. https://doi.org/10.1103/PHYSREVA.83.063610
Hui, Hu, Xiaji, Liu, and Drummond, Peter D. Wed . "Comparison between theory and experiment for universal thermodynamics of a homogeneous, strongly correlated Fermi gas". United States. https://doi.org/10.1103/PHYSREVA.83.063610.
@article{osti_21550155,
title = {Comparison between theory and experiment for universal thermodynamics of a homogeneous, strongly correlated Fermi gas},
author = {Hui, Hu and Xiaji, Liu and Drummond, Peter D},
abstractNote = {We compare the theoretical predictions for universal thermodynamics of a homogeneous, strongly correlated Fermi gas with the latest experimental measurements reported by the ENS group [S. Nascimbene et al., Nature (London) 463, 1057 (2010)] and the Tokyo group [M. Horikoshi et al., Science 327, 442 (2010)]. The theoretical results are obtained using two diagrammatic theories, together with a virial expansion theory combined with a Pade approximation. We find good agreement between theory and experiment. In particular, the virial expansion, using a Pade approximation up to third order, describes the experimental results extremely well down to the superfluid transition temperature, T{sub c{approx}}0.16T{sub F}, where T{sub F} is the Fermi temperature. The comparison in this work complements our previous comparative study on the universal thermodynamics of a strongly correlated but trapped Fermi gas. The comparison also raises interesting issues about the unitary entropy and the applicability of the Pade approximation.},
doi = {10.1103/PHYSREVA.83.063610},
url = {https://www.osti.gov/biblio/21550155}, journal = {Physical Review. A},
issn = {1050-2947},
number = 6,
volume = 83,
place = {United States},
year = {2011},
month = {6}
}