Critical properties of Sudden Quench Dynamics in the anisotropic XY Model

Details Critical properties of Sudden Quench Dynamics in the anisotropic XY Model Critical properties of Sudden Quench Dynamics in the anisotropic XY Model

2010-01-06

arxiv.org/abs/1001.0909v3

Physics

Quantum Physics

published on EPJB

Scientific paper

10.1140/epjb/e2011-10669-1

We study the zero temperature quantum dynamical critical behavior of the anisotropic XY chain under a sudden quench in a transverse field. We demonstrate theoretically that both quench magnetic susceptibility and two-particle quench correlation can be used to describe the dynamical quantum phase transition (QPT) properties. Either the quench magnetic susceptibility or the derivative of correlation functions as a function of initial magnetic field $a$ exhibits a divergence at the critical points when final magnetic field $b$ is fixed. A special case that final magnetic field $b$ is just at the critical point is discussed separately. Some of the critical exponents of the dynamical QPT are obtained and the long-range correlation of the quench system is analyzed. We also compare our result with that of the static QPT.

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