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

Schmidt, Thomas L.; Dolcetto, Giacomo; Pedder, Christopher J.; Le Hur, Karyn; Orth, Peter P.

doi:10.1103/PhysRevLett.123.075302

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:

Schmidt, Thomas L. ^[1]; Dolcetto, Giacomo ^[1]; Pedder, Christopher J. ^[1]; Le Hur, Karyn ^[2]; Orth, Peter P. ^[3]

Univ. of Luxembourg (Luxembourg)
Inst. Polytechnique de Paris, Palaiseau (France)
Ames Lab. and Iowa State Univ., Ames, IA (United States)

Publication Date:: 2019-08-13

Research Org.:: Ames Lab., Ames, IA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1560363

Report Number(s):: IS-J-10016
Journal ID: ISSN 0031-9007; PRLTAO; TRN: US2000466

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.

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                    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.  https://doi.org/10.1103/PhysRevLett.123.075302

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                    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.  https://doi.org/10.1103/PhysRevLett.123.075302.  https://www.osti.gov/servlets/purl/1560363.

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@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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https://doi.org/10.1103/PhysRevLett.123.075302

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FIG. 1: Schematic drawing of two impurities immersed in a 1D interacting quantum fluid, which is characterized by the Luttinger parameter K and the sound velocity v_s. The two impurities interact with each other via a retarded interaction mediated by the fluid. If exposed to a force F(t), they emitmore »

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Works referencing / citing this record:

Induced pairing of fermionic impurities in a one-dimensional strongly correlated Bose gas
journal, December 2019

Pasek, Michael; Orso, Giuliano
Physical Review B, Vol. 100, Issue 24
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Induced pairing of fermionic impurities in a one-dimensional strongly correlated Bose gas
text, January 2019

Pasek, Michael; Orso, Giuliano
arXiv
DOI: 10.48550/arxiv.1910.03569

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FIG. 1 (p. 1)

FIG. 2 (p. 3)

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Similar Records

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

Abstract

Citation Formats

Figures / Tables:

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

Theory of ultracold atomic Fermi gases journal, October 2008

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

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

Quantum dynamics of a mobile spin impurity journal, February 2013

Species-specific optical lattices journal, May 2007

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

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

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

'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

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

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

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

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

Luttinger-liquid behaviour in carbon nanotubes journal, February 1999

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

Induced pairing of fermionic impurities in a one-dimensional strongly correlated Bose gas journal, December 2019

Induced pairing of fermionic impurities in a one-dimensional strongly correlated Bose gas text, January 2019

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

Theory of ultracold atomic Fermi gases
journal, October 2008

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

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

Quantum dynamics of a mobile spin impurity
journal, February 2013

Species-specific optical lattices
journal, May 2007

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

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

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

'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

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

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

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

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

Luttinger-liquid behaviour in carbon nanotubes
journal, February 1999

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

Induced pairing of fermionic impurities in a one-dimensional strongly correlated Bose gas
journal, December 2019

Induced pairing of fermionic impurities in a one-dimensional strongly correlated Bose gas
text, January 2019