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Title: Mechanical Resonances of Mobile Impurities in a One-Dimensional Quantum Fluid

Abstract

We study a one-dimensional interacting quantum liquid hosting a pair of mobile impurities causing backscattering. We determine the effective retarded interaction between the two impurities mediated by the liquid. Here, we show that for strong backscattering this interaction gives rise to resonances and antiresonances in the finite-frequency mobility of the impurity pair. At the antiresonances, the two impurities remain at rest even when driven by a (small) external force. At the resonances, their synchronous motion follows the external drive in phase and reaches maximum amplitude. Using a perturbative renormalization group analysis in quantum tunneling across the impurities, we study the range of validity of our model. We predict that these mechanical antiresonances are observable in experiments on ultracold atom gases confined to one dimension.

Authors:
 [1];  [1];  [1];  [2];  [3]
  1. Univ. of Luxembourg (Luxembourg)
  2. Inst. Polytechnique de Paris, Palaiseau (France)
  3. Ames Lab. and Iowa State Univ., Ames, IA (United States)
Publication Date:
Research Org.:
Ames Laboratory (AMES), Ames, IA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1560363
Report Number(s):
IS-J-10016
Journal ID: ISSN 0031-9007; PRLTAO
Grant/Contract Number:  
AC02-07CH11358
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 123; Journal Issue: 7; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Schmidt, Thomas L., Dolcetto, Giacomo, Pedder, Christopher J., Le Hur, Karyn, and Orth, Peter P. Mechanical Resonances of Mobile Impurities in a One-Dimensional Quantum Fluid. United States: N. p., 2019. Web. doi:10.1103/PhysRevLett.123.075302.
Schmidt, Thomas L., Dolcetto, Giacomo, Pedder, Christopher J., Le Hur, Karyn, & Orth, Peter P. Mechanical Resonances of Mobile Impurities in a One-Dimensional Quantum Fluid. United States. doi:10.1103/PhysRevLett.123.075302.
Schmidt, Thomas L., Dolcetto, Giacomo, Pedder, Christopher J., Le Hur, Karyn, and Orth, Peter P. Tue . "Mechanical Resonances of Mobile Impurities in a One-Dimensional Quantum Fluid". United States. doi:10.1103/PhysRevLett.123.075302.
@article{osti_1560363,
title = {Mechanical Resonances of Mobile Impurities in a One-Dimensional Quantum Fluid},
author = {Schmidt, Thomas L. and Dolcetto, Giacomo and Pedder, Christopher J. and Le Hur, Karyn and Orth, Peter P.},
abstractNote = {We study a one-dimensional interacting quantum liquid hosting a pair of mobile impurities causing backscattering. We determine the effective retarded interaction between the two impurities mediated by the liquid. Here, we show that for strong backscattering this interaction gives rise to resonances and antiresonances in the finite-frequency mobility of the impurity pair. At the antiresonances, the two impurities remain at rest even when driven by a (small) external force. At the resonances, their synchronous motion follows the external drive in phase and reaches maximum amplitude. Using a perturbative renormalization group analysis in quantum tunneling across the impurities, we study the range of validity of our model. We predict that these mechanical antiresonances are observable in experiments on ultracold atom gases confined to one dimension.},
doi = {10.1103/PhysRevLett.123.075302},
journal = {Physical Review Letters},
number = 7,
volume = 123,
place = {United States},
year = {2019},
month = {8}
}

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Works referenced in this record:

Quantum dynamics of impurities in a one-dimensional Bose gas
journal, February 2012


Dynamics and Bloch oscillations of mobile impurities in one-dimensional quantum liquids
journal, March 2012


Superfluidity of Interacting Bosonic Mixtures in Optical Lattices
journal, July 2010


Bloch oscillations in the absence of a lattice
journal, June 2017


Many-body physics with ultracold gases
journal, July 2008

  • Bloch, Immanuel; Dalibard, Jean; Zwerger, Wilhelm
  • Reviews of Modern Physics, Vol. 80, Issue 3
  • DOI: 10.1103/RevModPhys.80.885

Theory of ultracold atomic Fermi gases
journal, October 2008

  • Giorgini, Stefano; Pitaevskii, Lev P.; Stringari, Sandro
  • Reviews of Modern Physics, Vol. 80, Issue 4
  • DOI: 10.1103/RevModPhys.80.1215

Dynamical Properties of the One-Dimensional Spin- 1 / 2 Bose-Hubbard Model near a Mott-Insulator to Ferromagnetic-Liquid Transition
journal, September 2009


Anderson localization and interactions in one-dimensional metals
journal, January 1988


Quantum Transport through a Tonks-Girardeau Gas
journal, October 2009


Critical Velocity and Dissipation of an Ultracold Bose-Fermi Counterflow
journal, December 2015


Transport in a one-channel Luttinger liquid
journal, February 1992


Quantum impurities: from mobile Josephson junctions to depletons
journal, May 2016


Interacting electrons in one dimension beyond the Luttinger-liquid limit
journal, May 2010

  • Barak, Gilad; Steinberg, Hadar; Pfeiffer, Loren N.
  • Nature Physics, Vol. 6, Issue 7
  • DOI: 10.1038/nphys1678

Friedel Oscillations for Interacting Fermions in One Dimension
journal, November 1995


Quantum dynamics of a mobile spin impurity
journal, February 2013

  • Fukuhara, Takeshi; Kantian, Adrian; Endres, Manuel
  • Nature Physics, Vol. 9, Issue 4
  • DOI: 10.1038/nphys2561

Species-specific optical lattices
journal, May 2007


A trapped single ion inside a Bose–Einstein condensate
journal, March 2010

  • Zipkes, Christoph; Palzer, Stefan; Sias, Carlo
  • Nature, Vol. 464, Issue 7287
  • DOI: 10.1038/nature08865

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

Dynamics of an impurity in a one-dimensional lattice
journal, April 2013


Dynamics of a heavy particle in a Luttinger liquid
journal, April 1996


Spin-Charge Separation and Localization in One Dimension
journal, April 2005


Transmission through barriers and resonant tunneling in an interacting one-dimensional electron gas
journal, December 1992


Charge fractionalization in quantum wires
journal, December 2007

  • Steinberg, Hadar; Barak, Gilad; Yacoby, Amir
  • Nature Physics, Vol. 4, Issue 2
  • DOI: 10.1038/nphys810

Phonon-Mediated Casimir Interaction between Mobile Impurities in One-Dimensional Quantum Liquids
journal, April 2014


Tunneling in one-dimensional non-Luttinger electron liquid
journal, November 1993


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


An Exactly Soluble Model of a Many‐Fermion System
journal, September 1963

  • Luttinger, J. M.
  • Journal of Mathematical Physics, Vol. 4, Issue 9
  • DOI: 10.1063/1.1704046

Dispersion relation and spectral function of an impurity in a one-dimensional quantum liquid
journal, June 2009


Quantum flutter of supersonic particles in one-dimensional quantum liquids
journal, October 2012

  • Mathy, Charles J. M.; Zvonarev, Mikhail B.; Demler, Eugene
  • Nature Physics, Vol. 8, Issue 12
  • DOI: 10.1038/nphys2455

Spin Dynamics in a One-Dimensional Ferromagnetic Bose Gas
journal, December 2007


Quantum Flutter: Signatures and Robustness
journal, January 2014


Direct observation of Tomonaga–Luttinger-liquid state in carbon nanotubes at low temperatures
journal, December 2003

  • Ishii, Hiroyoshi; Kataura, Hiromichi; Shiozawa, Hidetsugu
  • Nature, Vol. 426, Issue 6966
  • DOI: 10.1038/nature02074

Luttinger-liquid behaviour in carbon nanotubes
journal, February 1999

  • Bockrath, Marc; Cobden, David H.; Lu, Jia
  • Nature, Vol. 397, Issue 6720
  • DOI: 10.1038/17569

Dynamics of Single Neutral Impurity Atoms Immersed in an Ultracold Gas
journal, December 2012