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

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:

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

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

Publication Date:: 2018-07-10

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.

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                    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

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                    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.

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@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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DOI: https://doi.org/10.1103/PhysRevLett.121.026803

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Works referenced in this record:

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Similar Records

Title: Hybrid Sound Modes in One-Dimensional Quantum Liquids

Abstract

Citation Formats

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

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

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

'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 journal, July 1981

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

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

Remarks on Bloch's Method of Sound Waves applied to Many-Fermion Problems
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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

'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
journal, July 1981