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

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

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

References in corpus (8)

• On general relation between quantum ergodicity and fidelity of quantum dynamics
• Efficient Quantum Computing of Complex Dynamics
• Quantum irreversibility, perturbation independent decay, and the parametric theory of the local density of states
• Short time decay of the Loschmidt echo
• Quantum freeze of fidelity decay for a class of integrable dynamics
• Level statistics of XXZ spin chains with a random magnetic field
• Dynamical Imperfections in quantum computers
• Energy diffusion in frustrated quantum spin chains exhibiting Gaussian orthogonal ensemble level statistics