Critical properties of Sudden Quench Dynamics in the anisotropic XY Model - Quantum PhysicsReport as inadecuate




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Abstract: We study the zero temperature quantum dynamical critical behavior of theanisotropic XY chain under a sudden quench in a transverse field. Wedemonstrate theoretically that both quench magnetic susceptibility andtwo-particle quench correlation can be used to describe the dynamical quantumphase transition QPT properties. Either the quench magnetic susceptibility orthe 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 criticalpoint is discussed separately. Some of the critical exponents of the dynamicalQPT are obtained and the long-range correlation of the quench system isanalyzed. We also compare our result with that of the static QPT.



Author: Hongli Guo, Zhao Liu, Heng Fan, Shu Chen

Source: https://arxiv.org/







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