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Theory of defect production in nonlinear quench across a quantum critical point

2008/08/08 by Shreyoshi Mondal, K. Sengupta, Diptiman Sen · 1 citation
Physics and Astronomy · #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.79.045128

9+ pages, v1

arxiv created 2008/08/08 · arxiv updated 2009/12/01

Abstract

We study defect production in a quantum system subjected to a nonlinear power law quench which takes it either through a quantum critical or multicritical point or along a quantum critical line. We elaborate on our earlier work [D. Sen, K. Sengupta, S. Mondal, \prl 101, 016806 (2008)] and present a detailed analysis of the scaling of the defect density n with the quench rate τ and exponent \al for each of the above-mentioned cases. We also compute the correlation functions for defects generated in nonlinear quenches through a quantum critical point and discuss the dependence of the amplitudes of such correlation functions on the exponent \al. We discuss several experimental systems where these theoretical predictions can be tested.

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