Higher-harmonic collective modes in a trapped gas from second-order hydrodynamics

Lewis, W. E.; Romatschke, P.

doi:10.1088/1367-2630/aa5d6a

Title: Higher-harmonic collective modes in a trapped gas from second-order hydrodynamics

Journal Article · Wed Feb 01 00:00:00 EST 2017 · New Journal of Physics

DOI:https://doi.org/10.1088/1367-2630/aa5d6a· OSTI ID:1344322

Lewis, W. E.; Romatschke, P.

Utilizing a second-order hydrodynamics formalism, the dispersion relations for the frequencies and damping rates of collective oscillations as well as spatial structure of these modes up to the decapole oscillation in both two- and three- dimensional gas geometries are calculated. In addition to higher-order modes, the formalism also gives rise to purely damped ‘non-hydrodynamic’ modes.We calculate the amplitude of the various modes for both symmetric and asymmetric trap quenches, finding excellent agreement with an exact quantum mechanical calculation.We find that higher-order hydrodynamic modes are more sensitive to the value of shear viscosity, which may be of interest for the precision extraction of transport coefficients in Fermi gas systems.

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Research Organization:: Univ. of Colorado, Boulder, CO (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0008132

OSTI ID:: 1344322

Alternate ID(s):: OSTI ID: 1356077; OSTI ID: 1358360

Journal Information:: New Journal of Physics, Journal Name: New Journal of Physics Vol. 19 Journal Issue: 2; ISSN 1367-2630

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United Kingdom

Language:: English

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Cited by: 2 works

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References (34)

Collective modes of a two-dimensional spin- $1 / 2$ Fermi gas in a harmonic trap Baur, Stefan K.; Vogt, Enrico; Köhl, Michael Physical Review A, Vol. 87, Issue 4 https://doi.org/10.1103/PhysRevA.87.043612	journal	April 2013
Anomalous Minimum in the Shear Viscosity of a Fermi Gas Elliott, E.; Joseph, J. A.; Thomas, J. E. Physical Review Letters, Vol. 113, Issue 2 https://doi.org/10.1103/PhysRevLett.113.020406	journal	July 2014
Collective oscillations of a trapped quantum gas in low dimensions De Rosi, Giulia; Stringari, Sandro Physical Review A, Vol. 92, Issue 5 https://doi.org/10.1103/PhysRevA.92.053617	journal	November 2015
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
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
Hydrodynamic Expansion of a Strongly Interacting Fermi-Fermi Mixture Trenkwalder, A.; Kohstall, C.; Zaccanti, M. Physical Review Letters, Vol. 106, Issue 11 https://doi.org/10.1103/PhysRevLett.106.115304	journal	March 2011
Model-Independent Determination of the Shear Viscosity of a Trapped Unitary Fermi gas: Application to High-Temperature Data Bluhm, M.; Schäfer, T. Physical Review Letters, Vol. 116, Issue 11 https://doi.org/10.1103/PhysRevLett.116.115301	journal	March 2016
Lattice Boltzmann simulations of a strongly interacting two-dimensional Fermi gas Brewer, Jasmine; Mendoza, Miller; Young, Ryan E. Physical Review A, Vol. 93, Issue 1 https://doi.org/10.1103/PhysRevA.93.013618	journal	January 2016
Universal Equation of State and Pseudogap in the Two-Dimensional Fermi Gas Bauer, Marianne; Parish, Meera M.; Enss, Tilman Physical Review Letters, Vol. 112, Issue 13 https://doi.org/10.1103/PhysRevLett.112.135302	journal	April 2014
Shear Viscosity of a Unitary Fermi Gas Near the Superfluid Phase Transition Joseph, J. A.; Elliott, E.; Thomas, J. E. Physical Review Letters, Vol. 115, Issue 2 https://doi.org/10.1103/PhysRevLett.115.020401	journal	July 2015
Nonhydrodynamic Transport in Trapped Unitary Fermi Gases Brewer, Jasmine; Romatschke, Paul Physical Review Letters, Vol. 115, Issue 19 https://doi.org/10.1103/PhysRevLett.115.190404	journal	November 2015
Damping of a Unitary Fermi Gas Kinast, J.; Turlapov, A.; Thomas, J. E. Physical Review Letters, Vol. 94, Issue 17 https://doi.org/10.1103/PhysRevLett.94.170404	journal	May 2005
Shear viscosity and damping of collective modes in a two-dimensional Fermi gas Schäfer, Thomas Physical Review A, Vol. 85, Issue 3 https://doi.org/10.1103/PhysRevA.85.033623	journal	March 2012
Second-order fluid dynamics for the unitary Fermi gas from kinetic theory Schäfer, Thomas Physical Review A, Vol. 90, Issue 4 https://doi.org/10.1103/PhysRevA.90.043633	journal	October 2014
String-theory-based predictions for nonhydrodynamic collective modes in strongly interacting Fermi gases Bantilan, H.; Brewer, J. T.; Ishii, T. Physical Review A, Vol. 94, Issue 3 https://doi.org/10.1103/PhysRevA.94.033621	journal	September 2016
Spin-imbalance in a one-dimensional Fermi gas Liao, Yean-an; Rittner, Ann Sophie C.; Paprotta, Tobias Nature, Vol. 467, Issue 7315 https://doi.org/10.1038/nature09393	journal	September 2010
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
Generic instabilities in first-order dissipative relativistic fluid theories Hiscock, William A.; Lindblom, Lee Physical Review D, Vol. 31, Issue 4 https://doi.org/10.1103/PhysRevD.31.725	journal	February 1985
New Developments in Relativistic Viscous Hydrodynamics Romatschke, Paul International Journal of Modern Physics E, Vol. 19, Issue 01 https://doi.org/10.1142/S0218301310014613	journal	January 2010
Nearly perfect fluidity in a high-temperature superconductor Rameau, J. D.; Reber, T. J.; Yang, H. -B. Physical Review B, Vol. 90, Issue 13 https://doi.org/10.1103/PhysRevB.90.134509	journal	October 2014
Conformal symmetry and non-relativistic second-order fluid dynamics Chao, Jingyi; Schäfer, Thomas Annals of Physics, Vol. 327, Issue 7 https://doi.org/10.1016/j.aop.2012.02.017	journal	July 2012
Apparent Low-Energy Scale Invariance in Two-Dimensional Fermi Gases Taylor, Edward; Randeria, Mohit Physical Review Letters, Vol. 109, Issue 13 https://doi.org/10.1103/PhysRevLett.109.135301	journal	September 2012
Frequency and damping of the scissors mode of a Fermi gas Bruun, G. M.; Smith, H. Physical Review A, Vol. 76, Issue 4 https://doi.org/10.1103/PhysRevA.76.045602	journal	October 2007
Bulk Viscosity and Conformal Symmetry Breaking in the Dilute Fermi Gas near Unitarity Dusling, Kevin; Schäfer, Thomas Physical Review Letters, Vol. 111, Issue 12 https://doi.org/10.1103/PhysRevLett.111.120603	journal	September 2013
Dynamics of a strongly interacting Fermi gas: The radial quadrupole mode Altmeyer, A.; Riedl, S.; Wright, M. J. Physical Review A, Vol. 76, Issue 3 https://doi.org/10.1103/PhysRevA.76.033610	journal	September 2007
Ratio of shear viscosity to entropy density for trapped fermions in the unitarity limit Schäfer, T. Physical Review A, Vol. 76, Issue 6 https://doi.org/10.1103/PhysRevA.76.063618	journal	December 2007
Scale-invariant Fermi gas in a time-dependent harmonic potential Moroz, Sergej Physical Review A, Vol. 86, Issue 1 https://doi.org/10.1103/PhysRevA.86.011601	journal	July 2012
Spin-Imbalanced Quasi-Two-Dimensional Fermi Gases Ong, W.; Cheng, Chingyun; Arakelyan, I. Physical Review Letters, Vol. 114, Issue 11 https://doi.org/10.1103/PhysRevLett.114.110403	journal	March 2015
Lattice Boltzmann method for bosons and fermions and the fourth-order Hermite polynomial expansion Coelho, Rodrigo C. V.; Ilha, Anderson; Doria, Mauro M. Physical Review E, Vol. 89, Issue 4 https://doi.org/10.1103/PhysRevE.89.043302	journal	April 2014
Beam Energy Dependence of the Viscous Damping of Anisotropic Flow in Relativistic Heavy Ion Collisions Lacey, Roy A.; Taranenko, A.; Jia, J. Physical Review Letters, Vol. 112, Issue 8 https://doi.org/10.1103/PhysRevLett.112.082302	journal	February 2014
Dissipative fluid dynamics for the dilute Fermi gas at unitarity: Anisotropic fluid dynamics Bluhm, M.; Schäfer, T. Physical Review A, Vol. 92, Issue 4 https://doi.org/10.1103/PhysRevA.92.043602	journal	October 2015
Scale Invariance and Viscosity of a Two-Dimensional Fermi Gas Vogt, Enrico; Feld, Michael; Fröhlich, Bernd Physical Review Letters, Vol. 108, Issue 7 https://doi.org/10.1103/PhysRevLett.108.070404	journal	February 2012
Higher flow harmonics from $(3 + 1)$ D event-by-event viscous hydrodynamics Schenke, Björn; Jeon, Sangyong; Gale, Charles Physical Review C, Vol. 85, Issue 2 https://doi.org/10.1103/PhysRevC.85.024901	journal	February 2012
Graphene: A Nearly Perfect Fluid Müller, Markus; Schmalian, Jörg; Fritz, Lars Physical Review Letters, Vol. 103, Issue 2 https://doi.org/10.1103/PhysRevLett.103.025301	journal	July 2009

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Title: Higher-harmonic collective modes in a trapped gas from second-order hydrodynamics

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