Quench dynamics of one-dimensional bosons in a commensurate periodic potential: A quantum kinetic equation approach

Marco Tavora, Aditi Mitra

    Research output: Contribution to journalArticle

    Abstract

    Results are presented for the dynamics arising due to a sudden quench of a boson interaction parameter with the simultaneous switching on of a commensurate periodic potential, the latter providing a source of nonlinearity that can cause inelastic scattering. A quantum kinetic equation is derived perturbatively in the periodic potential and solved within the leading order gradient expansion. A two-particle irreducible formalism is employed to construct the stress-momentum tensor and hence the conserved energy. The dynamics is studied in detail in the phase where the boson spectrum remains gapless. The periodic potential is found to give rise to multiparticle scattering processes that relaxes the boson distribution function. At long times the system is found to thermalize with a thermalization time that depends in a nonmonotonic way on the amount of energy injected into the system due to the quantum quench. This nonmonotonic behavior arises due to the competing effect of an increase of phase space for scattering on the one hand, and an enhancement of the orthogonality catastrophe on the other hand as the quench amplitude is increased. The approach to equilibrium is found to be purely exponential for large quench amplitudes, and more complex for smaller quench amplitudes.

    Original languageEnglish (US)
    Article number115144
    JournalPhysical Review B - Condensed Matter and Materials Physics
    Volume88
    Issue number11
    DOIs
    StatePublished - Sep 30 2013

    Fingerprint

    Bosons
    kinetic equations
    bosons
    Kinetics
    Scattering
    Inelastic scattering
    orthogonality
    scattering
    Distribution functions
    Tensors
    Momentum
    inelastic scattering
    distribution functions
    nonlinearity
    tensors
    formalism
    momentum
    gradients
    expansion
    energy

    ASJC Scopus subject areas

    • Condensed Matter Physics
    • Electronic, Optical and Magnetic Materials

    Cite this

    Quench dynamics of one-dimensional bosons in a commensurate periodic potential : A quantum kinetic equation approach. / Tavora, Marco; Mitra, Aditi.

    In: Physical Review B - Condensed Matter and Materials Physics, Vol. 88, No. 11, 115144, 30.09.2013.

    Research output: Contribution to journalArticle

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