Light cone dynamics in excitonic states of two-component Bose and Fermi gases

Robinson, Neil J.; Caux, Jean-Sébastien; Konik, Robert M.

doi:10.1088/1742-5468/ab5706

Title: Light cone dynamics in excitonic states of two-component Bose and Fermi gases

Journal Article · 16 January 2020 · Journal of Statistical Mechanics

DOI: https://doi.org/10.1088/1742-5468/ab5706 · OSTI ID:1614977

Robinson, Neil J. ^[1]; Caux, Jean-Sébastien ^[2]; Konik, Robert M. ^[3]

Univ. of Amsterdam (The Netherlands); Brookhaven National Lab. (BNL), Upton, NY (United States)
Univ. of Amsterdam (The Netherlands)
Brookhaven National Lab. (BNL), Upton, NY (United States)

Herein we consider the non-equilibrium dynamics of two-component one dimensional quantum gases in the limit of extreme population imbalance where the minority species has but a single particle. We consider the situation where the gas is prepared in a state with a single spatially localized exciton: the single particle of the minority species is spatially localized while the density of the majority species in the vicinity of the minority particle sees a depression. Remarkably, we are able to consider cases where the gas contains on the order of $$N$$ = 100 particles, comparable to that studied in experiments on cold atomic gases. We are able to do so by exploiting the integrability of the gas together with the observation that the excitonic state can be constructed through a simple superposition of exact eigenstates of the gas. The number of states in this superposition, rather than being exponentially large in the number of particles, scales linearly with $$N$$. We study the evolution of such spatially localized states in both strongly interacting Bose and Fermi gases. The behavior of the light cones when the interaction strength and density of the gas is varied can be understood from exact results for the spin excitation spectrum in these systems. We argue that the light cone in both cases exhibits scaling collapse. However unique to the Bose gas, we show that the presence of gapped finite-momentum roton-like excitations provide the Bose gas dynamics with secondary light cones.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: European Union’s Horizon 2020; Foundation for Fundamental Research on Matter (FOM); The Dutch Research Council (NWO); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: SC0012704

OSTI ID:: 1614977

Report Number(s):: BNL--213835-2020-JAAM

Journal Information:: Journal of Statistical Mechanics, Journal Name: Journal of Statistical Mechanics Journal Issue: 1 Vol. 2020; ISSN 1742-5468

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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Breakdown of Thermalization in Finite One-Dimensional Systems Rigol, Marcos Physical Review Letters, Vol. 103, Issue 10 https://doi.org/10.1103/PhysRevLett.103.100403	journal	September 2009
Quantum Transport through a Tonks-Girardeau Gas Palzer, Stefan; Zipkes, Christoph; Sias, Carlo Physical Review Letters, Vol. 103, Issue 15 https://doi.org/10.1103/PhysRevLett.103.150601	journal	October 2009
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Quantum Quench in the Transverse-Field Ising Chain Calabrese, Pasquale; Essler, Fabian H. L.; Fagotti, Maurizio Physical Review Letters, Vol. 106, Issue 22 https://doi.org/10.1103/PhysRevLett.106.227203	journal	June 2011
Exact Relaxation Dynamics of a Localized Many-Body State in the 1D Bose Gas Sato, Jun; Kanamoto, Rina; Kaminishi, Eriko Physical Review Letters, Vol. 108, Issue 11 https://doi.org/10.1103/PhysRevLett.108.110401	journal	March 2012
Constructing the Generalized Gibbs Ensemble after a Quantum Quench Caux, Jean-Sébastien; Konik, Robert M. Physical Review Letters, Vol. 109, Issue 17 https://doi.org/10.1103/PhysRevLett.109.175301	journal	October 2012
Dynamics of Single Neutral Impurity Atoms Immersed in an Ultracold Gas Spethmann, Nicolas; Kindermann, Farina; John, Shincy Physical Review Letters, Vol. 109, Issue 23 https://doi.org/10.1103/PhysRevLett.109.235301	journal	December 2012
Dynamical Correlations After a Quantum Quench Essler, Fabian H. L.; Evangelisti, Stefano; Fagotti, Maurizio Physical Review Letters, Vol. 109, Issue 24 https://doi.org/10.1103/PhysRevLett.109.247206	journal	December 2012
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Time Evolution of Local Observables After Quenching to an Integrable Model Caux, Jean-Sébastien; Essler, Fabian H. L. Physical Review Letters, Vol. 110, Issue 25 https://doi.org/10.1103/PhysRevLett.110.257203	journal	June 2013
Motional Coherence of Fermions Immersed in a Bose Gas Scelle, R.; Rentrop, T.; Trautmann, A. Physical Review Letters, Vol. 111, Issue 7 https://doi.org/10.1103/PhysRevLett.111.070401	journal	August 2013
Infinite-Time Average of Local Fields in an Integrable Quantum Field Theory After a Quantum Quench Mussardo, G. Physical Review Letters, Vol. 111, Issue 10 https://doi.org/10.1103/PhysRevLett.111.100401	journal	September 2013
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Competing Regimes of Motion of 1D Mobile Impurities Kantian, A.; Schollwöck, U.; Giamarchi, T. Physical Review Letters, Vol. 113, Issue 7 https://doi.org/10.1103/PhysRevLett.113.070601	journal	August 2014
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