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Title: Temperature evolution of the shear viscosity in a unitary Fermi gas

Abstract

In this paper, we present an ab initio determination of the shear viscosity for the unitary Fermi gas based on finite temperature quantum Monte Carlo (QMC) calculations and the Kubo linear-response formalism. The results are confronted with the bound for the shear viscosity originating from hydrodynamic fluctuations. Assuming smoothness of the frequency dependent shear viscosity $η(ω)$, we show that the bound is violated in the low temperature regime and the violation occurs simultaneously with the onset of the Cooper pairing in the system. In order to preserve the hydrodynamic bound in QMC $η(ω)$ has to possess a sharp structure located in the vicinity of zero frequency which is not resolved by an analytic continuation procedure.

Authors:
 [1];  [1];  [2];  [3]
  1. Warsaw Univ. of Technology, Warsaw (Poland). Faculty of Physics; Univ. of Washington, Seattle, WA (United States). Dept. of Physics
  2. Univ. of Washington, Seattle, WA (United States). Dept. of Physics
  3. Univ. of Washington, Seattle, WA (United States). Dept. of Physics; Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
Publication Date:
Research Org.:
Univ. of Washington, Seattle, WA (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1565035
Alternate Identifier(s):
OSTI ID: 1104347
Grant/Contract Number:  
AC05-00OR22725; FC02-07ER41457; FG02-97ER41014
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review A - Atomic, Molecular, and Optical Physics
Additional Journal Information:
Journal Volume: 88; Journal Issue: 1; Journal ID: ISSN 1050-2947
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; optics; physics

Citation Formats

Wlazłowski, Gabriel, Magierski, Piotr, Bulgac, Aurel, and Roche, Kenneth J. Temperature evolution of the shear viscosity in a unitary Fermi gas. United States: N. p., 2013. Web. doi:10.1103/physreva.88.013639.
Wlazłowski, Gabriel, Magierski, Piotr, Bulgac, Aurel, & Roche, Kenneth J. Temperature evolution of the shear viscosity in a unitary Fermi gas. United States. https://doi.org/10.1103/physreva.88.013639
Wlazłowski, Gabriel, Magierski, Piotr, Bulgac, Aurel, and Roche, Kenneth J. Wed . "Temperature evolution of the shear viscosity in a unitary Fermi gas". United States. https://doi.org/10.1103/physreva.88.013639. https://www.osti.gov/servlets/purl/1565035.
@article{osti_1565035,
title = {Temperature evolution of the shear viscosity in a unitary Fermi gas},
author = {Wlazłowski, Gabriel and Magierski, Piotr and Bulgac, Aurel and Roche, Kenneth J.},
abstractNote = {In this paper, we present an ab initio determination of the shear viscosity for the unitary Fermi gas based on finite temperature quantum Monte Carlo (QMC) calculations and the Kubo linear-response formalism. The results are confronted with the bound for the shear viscosity originating from hydrodynamic fluctuations. Assuming smoothness of the frequency dependent shear viscosity $η(ω)$, we show that the bound is violated in the low temperature regime and the violation occurs simultaneously with the onset of the Cooper pairing in the system. In order to preserve the hydrodynamic bound in QMC $η(ω)$ has to possess a sharp structure located in the vicinity of zero frequency which is not resolved by an analytic continuation procedure.},
doi = {10.1103/physreva.88.013639},
journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
number = 1,
volume = 88,
place = {United States},
year = {Wed Jul 31 00:00:00 EDT 2013},
month = {Wed Jul 31 00:00:00 EDT 2013}
}

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Works referenced in this record:

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Works referencing / citing this record:

Shear Viscosity of Uniform Fermi Gases with Population Imbalance
journal, March 2018


Viscosity bound violation in viscoelastic Fermi liquids
journal, June 2019

  • Gochan, M. P.; Li, Hua; Bedell, K. S.
  • Journal of Physics Communications, Vol. 3, Issue 6
  • DOI: 10.1088/2399-6528/ab292b

Finite temperature behaviors of q-deformed Fermi gases
journal, August 2019


Shear Viscosity of Uniform Fermi Gases with Population Imbalance
text, January 2017


Viscosity Bound Violation in Viscoelastic Fermi Liquids
text, January 2018


Finite Temperature Behaviors of q-deformed Fermi Gases
text, January 2019


Mesoscopic dynamics of fermionic cold atoms — Quantitative analysis of transport coefficients and relaxation times
journal, May 2016


High-temperature expansion of the viscosity in interacting quantum gases
journal, January 2020


Perfect-fluid behavior of a dilute Fermi gas near unitary
text, January 2015


Roundtable: What can we learn about confinement and anomalous effects in QCD using analog systems?
preprint, January 2016


Sensitivity to the initial conditions of the Time-Dependent Density Functional Theory
text, January 2021