Temperature evolution of the shear viscosity in a unitary Fermi gas

Wlazłowski, Gabriel; Magierski, Piotr; Bulgac, Aurel; Roche, Kenneth J.

doi:10.1103/physreva.88.013639

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

Journal Article · Wed Jul 31 00:00:00 EDT 2013 · Physical Review A - Atomic, Molecular, and Optical Physics

DOI:https://doi.org/10.1103/physreva.88.013639· OSTI ID:1565035

Wlazłowski, Gabriel ^[1]; Magierski, Piotr ^[1]; Bulgac, Aurel ^[2]; Roche, Kenneth J. ^[3]

Warsaw Univ. of Technology, Warsaw (Poland). Faculty of Physics; Univ. of Washington, Seattle, WA (United States). Dept. of Physics
Univ. of Washington, Seattle, WA (United States). Dept. of Physics
Univ. of Washington, Seattle, WA (United States). Dept. of Physics; Pacific Northwest National Lab. (PNNL), Richland, WA (United States)

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.

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Research Organization:: Univ. of Washington, Seattle, WA (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC05-00OR22725; FC02-07ER41457; FG02-97ER41014

OSTI ID:: 1565035

Alternate ID(s):: OSTI ID: 1104347

Journal Information:: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 88, Issue 1; ISSN 1050-2947

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 24 works

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References (32)

Hydrodynamic fluctuations and the minimum shear viscosity of the dilute Fermi gas at unitarity Chafin, Clifford; Schäfer, Thomas Physical Review A, Vol. 87, Issue 2 https://doi.org/10.1103/PhysRevA.87.023629	journal	February 2013
Viscosity and scale invariance in the unitary Fermi gas Enss, Tilman; Haussmann, Rudolf; Zwerger, Wilhelm Annals of Physics, Vol. 326, Issue 3 https://doi.org/10.1016/j.aop.2010.10.002	journal	March 2011
Evolution of the Normal State of a Strongly Interacting Fermi Gas from a Pseudogap Phase to a Molecular Bose Gas Perali, A.; Palestini, F.; Pieri, P. Physical Review Letters, Vol. 106, Issue 6 https://doi.org/10.1103/PhysRevLett.106.060402	journal	February 2011
Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics Kovtun, P. K.; Son, D. T.; Starinets, A. O. Physical Review Letters, Vol. 94, Issue 11 https://doi.org/10.1103/PhysRevLett.94.111601	journal	March 2005
Theory of ultracold atomic Fermi gases Giorgini, Stefano; Pitaevskii, Lev P.; Stringari, Sandro Reviews of Modern Physics, Vol. 80, Issue 4 https://doi.org/10.1103/RevModPhys.80.1215	journal	October 2008
Many-body physics with ultracold gases Bloch, Immanuel; Dalibard, Jean; Zwerger, Wilhelm Reviews of Modern Physics, Vol. 80, Issue 3 https://doi.org/10.1103/RevModPhys.80.885	journal	July 2008
Shear viscosity and damping for a Fermi gas in the unitarity limit Bruun, G. M.; Smith, H. Physical Review A, Vol. 75, Issue 4 https://doi.org/10.1103/PhysRevA.75.043612	journal	April 2007
Observation of pseudogap behaviour in a strongly interacting Fermi gas Gaebler, J. P.; Stewart, J. T.; Drake, T. E. Nature Physics, Vol. 6, Issue 8 https://doi.org/10.1038/nphys1709	journal	July 2010
Microscopic Approach to Shear Viscosities of Unitary Fermi Gases above and below the Superfluid Transition Guo, Hao; Wulin, Dan; Chien, Chih-Chun Physical Review Letters, Vol. 107, Issue 2 https://doi.org/10.1103/PhysRevLett.107.020403	journal	July 2011
Strongly paired fermions: Cold atoms and neutron matter Gezerlis, Alexandros; Carlson, J. Physical Review C, Vol. 77, Issue 3 https://doi.org/10.1103/PhysRevC.77.032801	journal	March 2008
Quantum Monte Carlo simulations of the BCS-BEC crossover at finite temperature Bulgac, Aurel; Drut, Joaquín E.; Magierski, Piotr Physical Review A, Vol. 78, Issue 2 https://doi.org/10.1103/PhysRevA.78.023625	journal	August 2008
LINPRO: Linear inverse problem library for data contaminated by statistical noise Magierski, Piotr; Wlazłowski, Gabriel Computer Physics Communications, Vol. 183, Issue 10 https://doi.org/10.1016/j.cpc.2012.05.005	journal	October 2012
Is a Gas of Strongly Interacting Atomic Fermions a Nearly Perfect Fluid? Turlapov, A.; Kinast, J.; Clancy, B. Journal of Low Temperature Physics, Vol. 150, Issue 3-4 https://doi.org/10.1007/s10909-007-9589-1	journal	November 2007
Shear Viscosity of a Unitary Fermi Gas Wlazłowski, Gabriel; Magierski, Piotr; Drut, Joaquín E. Physical Review Letters, Vol. 109, Issue 2 https://doi.org/10.1103/PhysRevLett.109.020406	journal	July 2012
Auxiliary-field quantum Monte Carlo method for strongly paired fermions Carlson, J.; Gandolfi, Stefano; Schmidt, Kevin E. Physical Review A, Vol. 84, Issue 6 https://doi.org/10.1103/PhysRevA.84.061602	journal	December 2011
Asymmetric Two-Component Fermion Systems in Strong Coupling Carlson, J.; Reddy, Sanjay Physical Review Letters, Vol. 95, Issue 6 https://doi.org/10.1103/PhysRevLett.95.060401	journal	August 2005
Spin transport in cold Fermi gases: A pseudogap interpretation of spin diffusion experiments at unitarity Wulin, Dan; Guo, Hao; Chien, Chih-Chun Physical Review A, Vol. 83, Issue 6 https://doi.org/10.1103/PhysRevA.83.061601	journal	June 2011
Nearly perfect fluidity: from cold atomic gases to hot quark gluon plasmas Schäfer, Thomas; Teaney, Derek Reports on Progress in Physics, Vol. 72, Issue 12 https://doi.org/10.1088/0034-4885/72/12/126001	journal	November 2009
Using photoemission spectroscopy to probe a strongly interacting Fermi gas Stewart, J. T.; Gaebler, J. P.; Jin, D. S. Nature, Vol. 454, Issue 7205 https://doi.org/10.1038/nature07172	journal	August 2008
Cooper Pairing Above the Critical Temperature in a Unitary Fermi Gas Wlazłowski, Gabriel; Magierski, Piotr; Drut, Joaquín E. Physical Review Letters, Vol. 110, Issue 9 https://doi.org/10.1103/PhysRevLett.110.090401	journal	February 2013
Revealing the Superfluid Lambda Transition in the Universal Thermodynamics of a Unitary Fermi Gas Ku, M. J. H.; Sommer, A. T.; Cheuk, L. W. Science, Vol. 335, Issue 6068 https://doi.org/10.1126/science.1214987	journal	January 2012
Searching for perfect fluids: quantum viscosity in a universal Fermi gas Cao, C.; Elliott, E.; Wu, H. New Journal of Physics, Vol. 13, Issue 7 https://doi.org/10.1088/1367-2630/13/7/075007	journal	July 2011
Shear viscosity of a superfluid Fermi gas in the unitarity limit Rupak, Gautam; Schäfer, Thomas Physical Review A, Vol. 76, Issue 5 https://doi.org/10.1103/PhysRevA.76.053607	journal	November 2007
Onset of a Pseudogap Regime in Ultracold Fermi Gases Magierski, Piotr; Wlazłowski, Gabriel; Bulgac, Aurel Physical Review Letters, Vol. 107, Issue 14 https://doi.org/10.1103/PhysRevLett.107.145304	journal	September 2011
Finite-Temperature Pairing Gap of a Unitary Fermi Gas by Quantum Monte Carlo Calculations Magierski, Piotr; Wlazłowski, Gabriel; Bulgac, Aurel Physical Review Letters, Vol. 103, Issue 21 https://doi.org/10.1103/PhysRevLett.103.210403	journal	November 2009
Critical Temperature Curve in BEC-BCS Crossover Burovski, Evgeni; Kozik, Evgeny; Prokof’ev, Nikolay Physical Review Letters, Vol. 101, Issue 9 https://doi.org/10.1103/PhysRevLett.101.090402	journal	August 2008
Perfect fluids and bad metals: insights from ultracold Fermi gases Guo, Hao; Wulin, Dan; Chien, Chih-Chun New Journal of Physics, Vol. 13, Issue 7 https://doi.org/10.1088/1367-2630/13/7/075011	journal	July 2011
Implications of hydrodynamic fluctuations for the minimum shear viscosity of the dilute Fermi gas at unitarity Romatschke, Paul; Young, Ryan Edward Physical Review A, Vol. 87, Issue 5 https://doi.org/10.1103/PhysRevA.87.053606	journal	May 2013
Universal Quantum Viscosity in a Unitary Fermi Gas Cao, C.; Elliott, E.; Joseph, J. Science, Vol. 331, Issue 6013 https://doi.org/10.1126/science.1195219	journal	December 2010
Equation of state of the unitary Fermi gas: An update on lattice calculations Drut, Joaquín E.; Lähde, Timo A.; Wlazłowski, Gabriel Physical Review A, Vol. 85, Issue 5 https://doi.org/10.1103/PhysRevA.85.051601	journal	May 2012
Critical Temperature and Thermodynamics of Attractive Fermions at Unitarity Burovski, Evgeni; Prokof’ev, Nikolay; Svistunov, Boris Physical Review Letters, Vol. 96, Issue 16 https://doi.org/10.1103/PhysRevLett.96.160402	journal	April 2006
Feynman diagrams versus Fermi-gas Feynman emulator Van Houcke, K.; Werner, F.; Kozik, E. Nature Physics, Vol. 8, Issue 5 https://doi.org/10.1038/nphys2273	journal	March 2012

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Viscosity bound violation in viscoelastic Fermi liquids Gochan, M. P.; Li, Hua; Bedell, K. S. Journal of Physics Communications, Vol. 3, Issue 6 https://doi.org/10.1088/2399-6528/ab292b	journal	June 2019
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Auxiliary-Field Quantum Monte Carlo Simulations of Neutron Matter in Chiral Effective Field Theory Wlazłowski, G.; Holt, J. W.; Moroz, S. arXiv https://doi.org/10.48550/arxiv.1403.3753	text	January 2014
Shear Viscosity of Uniform Fermi Gases with Population Imbalance Cai, Weimin; He, Yan; Guo, Hao arXiv https://doi.org/10.48550/arxiv.1706.07247	text	January 2017
Viscosity Bound Violation in Viscoelastic Fermi Liquids Gochan, Matthew P.; Li, Hua; Bedell, Kevin S. arXiv https://doi.org/10.48550/arxiv.1801.08627	text	January 2018
Finite Temperature Behaviors of q-deformed Fermi Gases Huang, Xun; Hou, Xu-Yang; Gong, Yan arXiv https://doi.org/10.48550/arxiv.1909.13225	text	January 2019
Mesoscopic dynamics of fermionic cold atoms — Quantitative analysis of transport coefficients and relaxation times Kikuchi, Yuta; Tsumura, Kyosuke; Kunihiro, Teiji Physics Letters A, Vol. 380, Issue 24 https://doi.org/10.1016/j.physleta.2016.04.027	journal	May 2016
High-temperature expansion of the viscosity in interacting quantum gases Hofmann, Johannes Physical Review A, Vol. 101, Issue 1 https://doi.org/10.1103/physreva.101.013620	journal	January 2020
Perfect-fluid behavior of a dilute Fermi gas near unitary Wlazłowski, Gabriel; Quan, Wei; Bulgac, Aurel arXiv https://doi.org/10.48550/arxiv.1504.02560	text	January 2015
Roundtable: What can we learn about confinement and anomalous effects in QCD using analog systems? Diamantini, M. Cristina; Kharzeev, Dmitri E.; Molochkov, Alexander arXiv https://doi.org/10.48550/arxiv.1612.05850	preprint	January 2016
Sensitivity to the initial conditions of the Time-Dependent Density Functional Theory Bulgac, Aurel; Abdurrahman, Ibrahim; Wlazłowski, Gabriel arXiv https://doi.org/10.48550/arxiv.2108.10858	text	January 2021

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