Hybrid Sound Modes in One-Dimensional Quantum Liquids

Matveev, K. A.; Andreev, A. V.

doi:10.1103/PhysRevLett.121.026803

Title: Hybrid Sound Modes in One-Dimensional Quantum Liquids

Journal Article · Tue Jul 10 00:00:00 EDT 2018 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.121.026803· OSTI ID:1466399

Matveev, K. A. ^[1]; Andreev, A. V. ^[2]

Argonne National Lab. (ANL), Argonne, IL (United States)
Univ. of Washington, Seattle, WA (United States)

Here, we study sound in a single-channel one-dimensional quantum liquid. In contrast to classical fluids, instead of a single sound mode we find two modes of density oscillations. The speeds at which these two sound modes propagate are nearly equal, with the difference that scales linearly with the small temperature of the system. The two sound modes emerge as hybrids of the first and second sounds, and combine oscillations of both density and entropy of the liquid.

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Research Organization:: Argonne National Lab. (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC02-06CH11357; FG02-07ER46452

OSTI ID:: 1466399

Alternate ID(s):: OSTI ID: 1459700

Journal Information:: Physical Review Letters, Vol. 121, Issue 2; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 9 works

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References (23)

Equilibration of a spinless Luttinger liquid Matveev, K. A.; Andreev, A. V. Physical Review B, Vol. 85, Issue 4 https://doi.org/10.1103/PhysRevB.85.041102	journal	January 2012
Thermodynamics of a One‐Dimensional System of Bosons with Repulsive Delta‐Function Interaction Yang, C. N.; Yang, C. P. Journal of Mathematical Physics, Vol. 10, Issue 7 https://doi.org/10.1063/1.1664947	journal	July 1969
Nonuniversal Conductance Quantization in Quantum Wires Yacoby, A.; Stormer, H. L.; Wingreen, Ned S. Physical Review Letters, Vol. 77, Issue 22 https://doi.org/10.1103/PhysRevLett.77.4612	journal	November 1996
Polylogs, thermodynamics and scaling functions of one-dimensional quantum many-body systems Guan, X-W; Batchelor, M. T. Journal of Physics A: Mathematical and Theoretical, Vol. 44, Issue 10 https://doi.org/10.1088/1751-8113/44/10/102001	journal	February 2011
Confinement Induced Molecules in a 1D Fermi Gas Moritz, Henning; Stöferle, Thilo; Günter, Kenneth Physical Review Letters, Vol. 94, Issue 21 https://doi.org/10.1103/PhysRevLett.94.210401	journal	June 2005
Ferromagnetic behavior in the strongly interacting two-component Bose gas Guan, Xi-Wen; Batchelor, Murray T.; Takahashi, Minoru Physical Review A, Vol. 76, Issue 4 https://doi.org/10.1103/PhysRevA.76.043617	journal	October 2007
Relaxation of weakly interacting electrons in one dimension Ristivojevic, Zoran; Matveev, K. A. Physical Review B, Vol. 87, Issue 16 https://doi.org/10.1103/PhysRevB.87.165108	journal	April 2013
Possible Evidence for Helical Nuclear Spin Order in GaAs Quantum Wires Scheller, C. P.; Liu, T. -M.; Barak, G. Physical Review Letters, Vol. 112, Issue 6 https://doi.org/10.1103/PhysRevLett.112.066801	journal	February 2014
Kinetics of Mobile Impurities and Correlation Functions in One-Dimensional Superfluids at Finite Temperature Arzamasovs, M.; Bovo, F.; Gangardt, D. M. Physical Review Letters, Vol. 112, Issue 17 https://doi.org/10.1103/PhysRevLett.112.170602	journal	April 2014
Relaxation in Luttinger liquids: Bose-Fermi duality Protopopov, I. V.; Gutman, D. B.; Mirlin, A. D. Physical Review B, Vol. 90, Issue 12 https://doi.org/10.1103/PhysRevB.90.125113	journal	September 2014
Second sound and the superfluid fraction in a Fermi gas with resonant interactions Sidorenkov, Leonid A.; Tey, Meng Khoon; Grimm, Rudolf Nature, Vol. 498, Issue 7452 https://doi.org/10.1038/nature12136	journal	May 2013
Remarks on Bloch's Method of Sound Waves applied to Many-Fermion Problems Tomonaga, S. -i. Progress of Theoretical Physics, Vol. 5, Issue 4 https://doi.org/10.1143/ptp/5.4.544	journal	July 1950
Effective Harmonic-Fluid Approach to Low-Energy Properties of One-Dimensional Quantum Fluids Haldane, F. D. M. Physical Review Letters, Vol. 47, Issue 25 https://doi.org/10.1103/PhysRevLett.47.1840	journal	December 1981
Second Sound in Systems of One-Dimensional Fermions Matveev, K. A.; Andreev, A. V. Physical Review Letters, Vol. 119, Issue 26 https://doi.org/10.1103/PhysRevLett.119.266801	journal	December 2017
Observation of a One-Dimensional Tonks-Girardeau Gas Kinoshita, T. Science, Vol. 305, Issue 5687 https://doi.org/10.1126/science.1100700	journal	August 2004
Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State Lieb, Elliott H.; Liniger, Werner Physical Review, Vol. 130, Issue 4 https://doi.org/10.1103/PhysRev.130.1605	journal	May 1963
Propagation of Sound in a Bose-Einstein Condensate Andrews, M. R.; Kurn, D. M.; Miesner, H. -J. Physical Review Letters, Vol. 79, Issue 4 https://doi.org/10.1103/PhysRevLett.79.553	journal	July 1997
Equilibration of a One-Dimensional Wigner Crystal Matveev, K. A.; Andreev, A. V.; Pustilnik, M. Physical Review Letters, Vol. 105, Issue 4 https://doi.org/10.1103/PhysRevLett.105.046401	journal	July 2010
One-dimensional quantum liquids: Beyond the Luttinger liquid paradigm Imambekov, Adilet; Schmidt, Thomas L.; Glazman, Leonid I. Reviews of Modern Physics, Vol. 84, Issue 3 https://doi.org/10.1103/RevModPhys.84.1253	journal	September 2012
'Luttinger liquid theory' of one-dimensional quantum fluids. I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas Haldane, F. D. M. Journal of Physics C: Solid State Physics, Vol. 14, Issue 19 https://doi.org/10.1088/0022-3719/14/19/010	journal	July 1981
Effective Harmonic-Fluid Approach to Low-Energy Properties of One-Dimensional Quantum Fluids. Haldane, F. D. M. Physical Review Letters, Vol. 48, Issue 8 https://doi.org/10.1103/physrevlett.48.569.2	journal	February 1982
Ferromagnetic behaviour in the strongly interacting two-component Bose gas Guan, X. -W.; Batchelor, M. T.; Takahashi, M. arXiv https://doi.org/10.48550/arxiv.0707.0613	text	January 2007
Relaxation in Luttinger liquids: Bose-Fermi duality Protopopov, I. V.; Gutman, D. B.; Mirlin, A. D. arXiv https://doi.org/10.48550/arxiv.1404.0178	text	January 2014

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