Dissipative superfluid hydrodynamics for the unitary Fermi gas
Abstract
In this work we establish constraints on the temperature dependence of the shear viscosity η in the superfluid phase of a dilute Fermi gas in the unitary limit. Our results are based on analyzing experiments that measure the aspect ratio of a deformed cloud after release from an optical trap. Here, we discuss how to apply the two-fluid formalism to the unitary gas and provide a suitable parametrization of the equation of state. We show that in expansion experiments the difference between the normal and superfluid velocities remains small and can be treated as a perturbation. We find that expansion experiments favor a shear viscosity that decreases significantly in the superfluid regime. Using an exponential parametrization, we find η(Tc/2TF) ≲ 0.37[η(Tc/TF)], where Tc is the critical temperature and TF is the local Fermi temperature of the gas.
- Publication Date:
- Research Org.:
- North Carolina State University, Raleigh, NC (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1831811
- Grant/Contract Number:
- FG02-03ER41260
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A
- Additional Journal Information:
- Journal Volume: 104; Journal Issue: 2; Journal ID: ISSN 2469-9926
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Hou, Jiaxun, and Schäfer, Thomas. Dissipative superfluid hydrodynamics for the unitary Fermi gas. United States: N. p., 2021.
Web. doi:10.1103/physreva.104.023313.
Hou, Jiaxun, & Schäfer, Thomas. Dissipative superfluid hydrodynamics for the unitary Fermi gas. United States. https://doi.org/10.1103/physreva.104.023313
Hou, Jiaxun, and Schäfer, Thomas. Fri .
"Dissipative superfluid hydrodynamics for the unitary Fermi gas". United States. https://doi.org/10.1103/physreva.104.023313. https://www.osti.gov/servlets/purl/1831811.
@article{osti_1831811,
title = {Dissipative superfluid hydrodynamics for the unitary Fermi gas},
author = {Hou, Jiaxun and Schäfer, Thomas},
abstractNote = {In this work we establish constraints on the temperature dependence of the shear viscosity η in the superfluid phase of a dilute Fermi gas in the unitary limit. Our results are based on analyzing experiments that measure the aspect ratio of a deformed cloud after release from an optical trap. Here, we discuss how to apply the two-fluid formalism to the unitary gas and provide a suitable parametrization of the equation of state. We show that in expansion experiments the difference between the normal and superfluid velocities remains small and can be treated as a perturbation. We find that expansion experiments favor a shear viscosity that decreases significantly in the superfluid regime. Using an exponential parametrization, we find η(Tc/2TF) ≲ 0.37[η(Tc/TF)], where Tc is the critical temperature and TF is the local Fermi temperature of the gas.},
doi = {10.1103/physreva.104.023313},
journal = {Physical Review A},
number = 2,
volume = 104,
place = {United States},
year = {Fri Aug 13 00:00:00 EDT 2021},
month = {Fri Aug 13 00:00:00 EDT 2021}
}
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