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

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

2008-08-08

arxiv.org/abs/0808.1175v1

Physics

Condensed Matter

Strongly Correlated Electrons

9+ pages, v1

Scientific paper

10.1103/PhysRevB.79.045128

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 $\tau$ 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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