Density of kinks after a sudden quench in the quantum Ising spin chain

Details Density of kinks after a sudden quench in the quantum Ising spin chain Density of kinks after a sudden quench in the quantum Ising spin chain

2009-10-21

arxiv.org/abs/0910.4055v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, 4 figures

Scientific paper

We investigate the time evolution of the density of kinks in the spin-1/2 quantum Ising spin chain after a sudden quench in the transverse field strength, and find that it relaxes to a value which depends on the initial and the final values of the transverse field, with an oscillating power-law decay. We provide analytical estimates of the long-time behavior and of the asymptotic value reached after complete relaxation, and discuss the role of quantum criticality in the quench dynamics. We show that, for a dynamics at the critical point, the residual density of kinks after the quench can be described by equilibrium statistical mechanics at a finite temperature dictated by the energy of the state after the quench. On the other hand, outside of criticality it does not exhibit thermalization.

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