Correlation functions in the prethermalized regime after a quantum quench of a spin chain

Aditi Mitra

    Research output: Contribution to journalArticle

    Abstract

    Results are presented for a two-point correlation function of a spin chain after a quantum quench for an intermediate time regime where inelastic effects are weak. A Callan-Symanzik-like equation for the correlation function is explicitly constructed which is used to show the appearance of three distinct scaling regimes. One is for spatial separations within a light cone, the second is for spatial separations on the light cone, and the third is for spatial separations outside the light cone. In these three regimes, the correlation function is found to decay with power laws with nonequilibrium exponents that differ from those in equilibrium, as well as from those obtained from quenches in a quadratic Luttinger liquid theory. A detailed discussion is presented on how the existence of scaling depends on the properties of the initial state before the quench.

    Original languageEnglish (US)
    Article number205109
    JournalPhysical Review B - Condensed Matter and Materials Physics
    Volume87
    Issue number20
    DOIs
    StatePublished - May 9 2013

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    Cones
    cones
    scaling
    exponents
    Liquids
    decay
    liquids

    ASJC Scopus subject areas

    • Condensed Matter Physics
    • Electronic, Optical and Magnetic Materials

    Cite this

    Correlation functions in the prethermalized regime after a quantum quench of a spin chain. / Mitra, Aditi.

    In: Physical Review B - Condensed Matter and Materials Physics, Vol. 87, No. 20, 205109, 09.05.2013.

    Research output: Contribution to journalArticle

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