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Title: Hybrid Sound Modes in One-Dimensional Quantum Liquids

Abstract

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.

Authors:
 [1];  [2]
  1. Argonne National Lab. (ANL), Argonne, IL (United States)
  2. Univ. of Washington, Seattle, WA (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1466399
Alternate Identifier(s):
OSTI ID: 1459700
Grant/Contract Number:  
AC02-06CH11357; FG02-07ER46452
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 121; Journal Issue: 2; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Matveev, K. A., and Andreev, A. V. Hybrid Sound Modes in One-Dimensional Quantum Liquids. United States: N. p., 2018. Web. doi:10.1103/PhysRevLett.121.026803.
Matveev, K. A., & Andreev, A. V. Hybrid Sound Modes in One-Dimensional Quantum Liquids. United States. doi:https://doi.org/10.1103/PhysRevLett.121.026803
Matveev, K. A., and Andreev, A. V. Tue . "Hybrid Sound Modes in One-Dimensional Quantum Liquids". United States. doi:https://doi.org/10.1103/PhysRevLett.121.026803. https://www.osti.gov/servlets/purl/1466399.
@article{osti_1466399,
title = {Hybrid Sound Modes in One-Dimensional Quantum Liquids},
author = {Matveev, K. A. and Andreev, A. V.},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.121.026803},
journal = {Physical Review Letters},
number = 2,
volume = 121,
place = {United States},
year = {2018},
month = {7}
}

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Cited by: 4 works
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Works referenced in this record:

Equilibration of a spinless Luttinger liquid
journal, January 2012


Thermodynamics of a One‐Dimensional System of Bosons with Repulsive Delta‐Function Interaction
journal, July 1969

  • Yang, C. N.; Yang, C. P.
  • Journal of Mathematical Physics, Vol. 10, Issue 7
  • DOI: 10.1063/1.1664947

Nonuniversal Conductance Quantization in Quantum Wires
journal, November 1996


Polylogs, thermodynamics and scaling functions of one-dimensional quantum many-body systems
journal, February 2011


Confinement Induced Molecules in a 1D Fermi Gas
journal, June 2005


Ferromagnetic behavior in the strongly interacting two-component Bose gas
journal, October 2007


Relaxation of weakly interacting electrons in one dimension
journal, April 2013


Possible Evidence for Helical Nuclear Spin Order in GaAs Quantum Wires
journal, February 2014


Kinetics of Mobile Impurities and Correlation Functions in One-Dimensional Superfluids at Finite Temperature
journal, April 2014


Relaxation in Luttinger liquids: Bose-Fermi duality
journal, September 2014


Second sound and the superfluid fraction in a Fermi gas with resonant interactions
journal, May 2013

  • Sidorenkov, Leonid A.; Tey, Meng Khoon; Grimm, Rudolf
  • Nature, Vol. 498, Issue 7452
  • DOI: 10.1038/nature12136

Remarks on Bloch's Method of Sound Waves applied to Many-Fermion Problems
journal, July 1950


Effective Harmonic-Fluid Approach to Low-Energy Properties of One-Dimensional Quantum Fluids
journal, December 1981


Second Sound in Systems of One-Dimensional Fermions
journal, December 2017


Observation of a One-Dimensional Tonks-Girardeau Gas
journal, August 2004


Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
journal, May 1963


Propagation of Sound in a Bose-Einstein Condensate
journal, July 1997


Equilibration of a One-Dimensional Wigner Crystal
journal, July 2010


One-dimensional quantum liquids: Beyond the Luttinger liquid paradigm
journal, September 2012

  • Imambekov, Adilet; Schmidt, Thomas L.; Glazman, Leonid I.
  • Reviews of Modern Physics, Vol. 84, Issue 3
  • DOI: 10.1103/RevModPhys.84.1253