Real-time dynamics in a strongly interacting bosonic hopping model: Global quenches and mapping to the XX chain

Balázs Pozsgay, Viktor Eisler

Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

Abstract

We study the time evolution of an integrable many-particle system, described by the q-boson Hamiltonian in the limit of strong bosonic interactions q→. It is shown that, for a particular class of pure initial states, the analytical calculation of certain observables simplifies considerably. Namely, we provide exact formulas for the calculation of the Loschmidt-echo and the emptiness formation probability, where the computational time scales polynomially with the particle number. Moreover, we construct a non-local mapping of the q -boson model to the XX spin chain, and show how this can be utilized to obtain the time evolution of various local bosonic observables for translationally invariant initial states. The results obtained via the bosonic and fermionic picture show perfect agreement. In the infinite volume and large time limits, we rigorously verify the prediction of the generalized Gibbs ensemble for homogeneous initial Fock states.

Originalspracheenglisch
Aufsatznummer053107
FachzeitschriftJournal of statistical mechanics - theory and experiment
Jahrgang2016
Ausgabenummer5
DOIs
PublikationsstatusVeröffentlicht - 19 Mai 2016

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Real-time
Bosons
Many-particle System
bosons
Spin Chains
Integrable Systems
Simplify
Time Scales
Ensemble
Model
Verify
echoes
Invariant
Prediction
Interaction
Global model
predictions
Class
Time scales

Schlagwörter

    ASJC Scopus subject areas

    • !!Statistics and Probability
    • !!Statistical and Nonlinear Physics
    • !!Statistics, Probability and Uncertainty

    Dies zitieren

    Real-time dynamics in a strongly interacting bosonic hopping model : Global quenches and mapping to the XX chain. / Pozsgay, Balázs; Eisler, Viktor.

    in: Journal of statistical mechanics - theory and experiment, Jahrgang 2016, Nr. 5, 053107, 19.05.2016.

    Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

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