Dynamical stability for finite quantum spin chains against a time-periodic inhomogeneous perturbation

Kazue Kudo, Katsuhiro Nakamura

Research output: Contribution to journalArticlepeer-review

Abstract

We investigate dynamical stability of the ground state against a time-periodic and spatially-inhomogeneous magnetic field for finite quantum XXZ spin chains. We use the survival probability as a measure of stability and demonstrate that it decays as P(t) ∝ t-1/2 under a certain condition. The dynamical properties should also be related to the level statistics of the XXZ spin chains with a constant spatially-inhomogeneous magnetic field. The level statistics depends on the anisotropy parameter and the field strength. We show how the survival probability depends on the anisotropy parameter, the strength and frequency of the field.

Original languageEnglish
Pages (from-to)166-171
Number of pages6
JournalChaos, Solitons and Fractals
Volume40
Issue number1
DOIs
Publication statusPublished - 2009 Apr 15
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

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