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:
-
- Argonne National Lab. (ANL), Argonne, IL (United States)
- 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. 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. 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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Works referenced in this record:
Equilibration of a spinless Luttinger liquid
journal, January 2012
- Matveev, K. A.; Andreev, A. V.
- Physical Review B, Vol. 85, Issue 4
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
Nonuniversal Conductance Quantization in Quantum Wires
journal, November 1996
- Yacoby, A.; Stormer, H. L.; Wingreen, Ned S.
- Physical Review Letters, Vol. 77, Issue 22
Polylogs, thermodynamics and scaling functions of one-dimensional quantum many-body systems
journal, February 2011
- Guan, X-W; Batchelor, M. T.
- Journal of Physics A: Mathematical and Theoretical, Vol. 44, Issue 10
Confinement Induced Molecules in a 1D Fermi Gas
journal, June 2005
- Moritz, Henning; Stöferle, Thilo; Günter, Kenneth
- Physical Review Letters, Vol. 94, Issue 21
Ferromagnetic behavior in the strongly interacting two-component Bose gas
journal, October 2007
- Guan, Xi-Wen; Batchelor, Murray T.; Takahashi, Minoru
- Physical Review A, Vol. 76, Issue 4
Relaxation of weakly interacting electrons in one dimension
journal, April 2013
- Ristivojevic, Zoran; Matveev, K. A.
- Physical Review B, Vol. 87, Issue 16
Possible Evidence for Helical Nuclear Spin Order in GaAs Quantum Wires
journal, February 2014
- Scheller, C. P.; Liu, T. -M.; Barak, G.
- Physical Review Letters, Vol. 112, Issue 6
Kinetics of Mobile Impurities and Correlation Functions in One-Dimensional Superfluids at Finite Temperature
journal, April 2014
- Arzamasovs, M.; Bovo, F.; Gangardt, D. M.
- Physical Review Letters, Vol. 112, Issue 17
Relaxation in Luttinger liquids: Bose-Fermi duality
journal, September 2014
- Protopopov, I. V.; Gutman, D. B.; Mirlin, A. D.
- Physical Review B, Vol. 90, Issue 12
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
Remarks on Bloch's Method of Sound Waves applied to Many-Fermion Problems
journal, July 1950
- Tomonaga, S. -i.
- Progress of Theoretical Physics, Vol. 5, Issue 4
Effective Harmonic-Fluid Approach to Low-Energy Properties of One-Dimensional Quantum Fluids
journal, December 1981
- Haldane, F. D. M.
- Physical Review Letters, Vol. 47, Issue 25
Second Sound in Systems of One-Dimensional Fermions
journal, December 2017
- Matveev, K. A.; Andreev, A. V.
- Physical Review Letters, Vol. 119, Issue 26
Observation of a One-Dimensional Tonks-Girardeau Gas
journal, August 2004
- Kinoshita, T.
- Science, Vol. 305, Issue 5687
Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
journal, May 1963
- Lieb, Elliott H.; Liniger, Werner
- Physical Review, Vol. 130, Issue 4
Propagation of Sound in a Bose-Einstein Condensate
journal, July 1997
- Andrews, M. R.; Kurn, D. M.; Miesner, H. -J.
- Physical Review Letters, Vol. 79, Issue 4
Equilibration of a One-Dimensional Wigner Crystal
journal, July 2010
- Matveev, K. A.; Andreev, A. V.; Pustilnik, M.
- Physical Review Letters, Vol. 105, Issue 4
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
'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
- Haldane, F. D. M.
- Journal of Physics C: Solid State Physics, Vol. 14, Issue 19
Effective Harmonic-Fluid Approach to Low-Energy Properties of One-Dimensional Quantum Fluids.
journal, February 1982
- Haldane, F. D. M.
- Physical Review Letters, Vol. 48, Issue 8
Ferromagnetic behaviour in the strongly interacting two-component Bose gas
text, January 2007
- Guan, X. -W.; Batchelor, M. T.; Takahashi, M.
- arXiv
Relaxation in Luttinger liquids: Bose-Fermi duality
text, January 2014
- Protopopov, I. V.; Gutman, D. B.; Mirlin, A. D.
- arXiv