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

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

2007-04-23

arxiv.org/abs/0704.2922v1

Chaos, Solitons & Fractals 40, 166-171 (2009)

Physics

Condensed Matter

Other Condensed Matter

1 figure, 8 pages. Submitted to Chaos, solitons, and fractals

Scientific paper

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 $P(t) \propto t^{-1/2}$ 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.

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