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

doi:10.1103/PhysRevLett.123.075302

This content will become publicly available on August 13, 2020

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 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.

Copy to clipboard


                    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.

Copy to clipboard


                    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.

Copy to clipboard


                    
@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}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

This content will become publicly available on August 13, 2020

Publisher's Version of Record

DOI: 10.1103/PhysRevLett.123.075302

Other availability

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

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

Catani, J.; Lamporesi, G.; Naik, D.
Physical Review A, Vol. 85, Issue 2
DOI: 10.1103/PhysRevA.85.023623

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

Schecter, M.; Gangardt, D. M.; Kamenev, A.
Annals of Physics, Vol. 327, Issue 3
DOI: 10.1016/j.aop.2011.10.001

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

Gadway, Bryce; Pertot, Daniel; Reimann, René
Physical Review Letters, Vol. 105, Issue 4
DOI: 10.1103/PhysRevLett.105.045303

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

Meinert, Florian; Knap, Michael; Kirilov, Emil
Science, Vol. 356, Issue 6341
DOI: 10.1126/science.aah6616

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

Zvonarev, M. B.; Cheianov, V. V.; Giamarchi, T.
Physical Review Letters, Vol. 103, Issue 11
DOI: 10.1103/PhysRevLett.103.110401

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

Giamarchi, T.; Schulz, H. J.
Physical Review B, Vol. 37, Issue 1
DOI: 10.1103/PhysRevB.37.325

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

Palzer, Stefan; Zipkes, Christoph; Sias, Carlo
Physical Review Letters, Vol. 103, Issue 15
DOI: 10.1103/PhysRevLett.103.150601

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

Delehaye, Marion; Laurent, Sébastien; Ferrier-Barbut, Igor
Physical Review Letters, Vol. 115, Issue 26
DOI: 10.1103/PhysRevLett.115.265303

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

Kane, C. L.; Fisher, Matthew P. A.
Physical Review Letters, Vol. 68, Issue 8
DOI: 10.1103/PhysRevLett.68.1220

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

Schecter, Michael; Gangardt, Dimitri M.; Kamenev, Alex
New Journal of Physics, Vol. 18, Issue 6
DOI: 10.1088/1367-2630/18/6/065002

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

Egger, Reinhold; Grabert, Hermann
Physical Review Letters, Vol. 75, Issue 19
DOI: 10.1103/PhysRevLett.75.3505

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

LeBlanc, L. J.; Thywissen, J. H.
Physical Review A, Vol. 75, Issue 5
DOI: 10.1103/PhysRevA.75.053612

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

Massel, F.; Kantian, A.; Daley, A. J.
New Journal of Physics, Vol. 15, Issue 4
DOI: 10.1088/1367-2630/15/4/045018

'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
DOI: 10.1088/0022-3719/14/19/010

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

Castro Neto, A. H.; Fisher, Matthew P. A.
Physical Review B, Vol. 53, Issue 15
DOI: 10.1103/PhysRevB.53.9713

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

Auslaender, O. M.
Science, Vol. 308, Issue 5718
DOI: 10.1126/science.1107821

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

Kane, C. L.; Fisher, Matthew P. A.
Physical Review B, Vol. 46, Issue 23
DOI: 10.1103/PhysRevB.46.15233

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

Schecter, Michael; Kamenev, Alex
Physical Review Letters, Vol. 112, Issue 15
DOI: 10.1103/PhysRevLett.112.155301

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

Matveev, K. A.; Yue, Dongxiao; Glazman, L. I.
Physical Review Letters, Vol. 71, Issue 20
DOI: 10.1103/PhysRevLett.71.3351

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
DOI: 10.1143/ptp/5.4.544

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

Lamacraft, Austen
Physical Review B, Vol. 79, Issue 24
DOI: 10.1103/PhysRevB.79.241105

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

Zvonarev, M. B.; Cheianov, V. V.; Giamarchi, T.
Physical Review Letters, Vol. 99, Issue 24
DOI: 10.1103/PhysRevLett.99.240404

Quantum Flutter: Signatures and Robustness
journal, January 2014

Knap, Michael; Mathy, Charles J. M.; Ganahl, Martin
Physical Review Letters, Vol. 112, Issue 1
DOI: 10.1103/PhysRevLett.112.015302

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

Spethmann, Nicolas; Kindermann, Farina; John, Shincy
Physical Review Letters, Vol. 109, Issue 23
DOI: 10.1103/PhysRevLett.109.235301

Similar records in OSTI.GOV collections:

Casimir forces between defects in one-dimensional quantum liquids

Journal Article Recati, A. ; CRS BEC-INFM, Povo and ECT, Villazzano, 38050 Trento ; Fuchs, J.N. ; ... - Physical Review. A

We discuss the effective interactions between two localized perturbations in one-dimensional quantum liquids. For noninteracting fermions, the interactions exhibit Friedel oscillations, giving rise to a Ruderman-Kittel-Kasuya-Yosida-type interaction familiar from impurity spins in metals. In the interacting case, at low energies, a Luttinger-liquid description applies. In the case of repulsive fermions, the Friedel oscillations of the interacting system are replaced, at long distances, by a universal Casimir-type interaction which depends only on the sound velocity and decays inversely with the separation. The Casimir-type interaction between localized perturbations embedded in a fermionic environment gives rise to a long-range coupling between quantum dotsmore »« less
DOI: 10.1103/PhysRevA.72.023616
Tunneling of ultracold Bose gases in multiple wells

Journal Article Paredes, Rosario - Physical Review. A

We study the dynamics of an ultracold gas of interacting bosons confined in a one-dimensional potential composed of n wells. We derive an effective N-particle Hamiltonian for this system that describes the tunneling of particles between adjacent wells and that includes the interactions among the particles within the same well. The problem is discussed in the light of current research on optical lattices. We demonstrate that the effective Hamiltonian gives the possibility of studying the transition from an ideal insulator to a real conductor when the parameters that modulate the interaction and the tunneling of the particles are varied. Tomore »« less
DOI: 10.1103/PHYSREVA.73.0
Measurement of the charge asymmetry and the W boson helicity in top-antitop quark events with the CDF II experiment

Thesis/Dissertation Hirschbuehl, Dominic

In 1995 the heaviest elementary particle, top quark, was discovered at the Tevatron collider in top-antitop quark pair production. Since the top quark mass is of the same order as the electroweak symmetry breaking scale, measurements of the properties of the top quark like mass, charge, spin or the production mechanism, offer a good opportunity to test the Standard Model at such high energies. Top quarks at the Tevatron are predominantly pair-produced through light quark-antiquark annihilation. Higher order perturbative QCD calculations predict a sizeable asymmetry between the number of top quarks and antitop quarks produced in forward direction. This asymmetrymore »« less
DOI: 10.2172/897585

Full Text Available
Quantum Field Theory of Nematic Transitions in Spin-Orbit-Coupled Spin-1 Polar Bosons

Journal Article König, E. J. ; Pixley, J. H. - Physical Review Letters

We theoretically study an ultracold gas of spin-1 polar bosons in a one-dimensional continuum, which are subject to linear and quadratic Zeeman fields and a Raman induced spin orbit coupling. Concentrating on the regime in which the background fields can be treated perturbatively, we analytically solve the model in its low-energy sector; i.e., we characterize the relevant phases and the quantum phase transitions between them. Depending on the sign of the effective quadratic Zeeman field ε, two superfluid phases with distinct nematic order appear. In addition, we uncover a spin-disordered superfluid phase at strong coupling. We employ a combination ofmore »« less
Cited by 3
DOI: 10.1103/PhysRevLett.121.083402

Full Text Available
Bose-Fermi solid and its quantum melting in a one-dimensional optical lattice

Journal Article Wang Bin ; Das Sarma, S. ; Wang, Daw-Wei - Physical Review. A

We investigate the quantum phase diagram of Bose-Fermi mixtures of ultracold dipolar particles trapped in one-dimensional optical lattices in the thermodynamic limit. With the presence of nearest-neighbor (NN) interactions, a long-ranged ordered crystalline phase (Bose-Fermi solid) is found stabilized in the limit of weak intersite tunneling (J). When J is increased, such a Bose-Fermi solid can be quantum melted into a Bose-Fermi liquid through different procedures, depending on whether the crystalline order is dominated by the NN interaction between fermions or bosons. These properties are qualitatively different from the classical picture of solid-liquid phase transition.
DOI: 10.1103/PHYSREVA.82.021602

Similar Records

This content will become publicly available on August 13, 2020

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

Abstract

Citation Formats

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

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