Non-adiabatic quench dynamics near anisotropic quantum critical point

Hikichi, T. ; Suzuki, S. ; Sengupta, K. (2011) Non-adiabatic quench dynamics near anisotropic quantum critical point Journal of Physics: Conference Series, 297 (1). 012020. ISSN 1742-6588

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Official URL: http://iopscience.iop.org/1742-6596/297/1/012020/

Related URL: http://dx.doi.org/10.1088/1742-6596/297/1/012020

Abstract

We study non-equilibrium dynamics induced by a quench of a parameter near a quantum phase transition in the Kitaev model. On the basis of an exact solution for the time-dependent Schrödinger equation, we show that the density of excitations and residual energy after a quench scale with a quench rate τ−1 as τ−3/4 and τ−5/4 respectively, when a parameter is quenched from a gapped phase toward the quantum critical point. These unusual scaling laws originate from an anisotropic nature of the quantum critical point in the Kitaev model. Gerenalizing these results, we provide novel scaling laws for a generic anisotropic quantum critical point in d-dimensional systems.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics Publishing.
ID Code:94372
Deposited On:05 Sep 2012 09:31
Last Modified:05 Sep 2012 09:31

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