Critical quench dynamics in confined systems
Abstract
We analyze the coherent quantum evolution of a many-particle system after slowly sweeping a power-law confining potential. The amplitude of the confining potential is varied in time along a power-law ramp such that the many-particle system finally reaches or crosses a critical point. Under this protocol we derive general scaling laws for the density of excitations created during the non-adiabatic sweep of the confining potential. It is found that the mean excitation density follows an algebraic law as a function of the sweeping rate with an exponent that depends on the space-time properties of the potential. We confirm our scaling laws by first order adiabatic calculation and exact results on the Ising quantum chain with a varying transverse field.
Cite
@article{arxiv.1005.3697,
title = {Critical quench dynamics in confined systems},
author = {Mario Collura and Dragi Karevski},
journal= {arXiv preprint arXiv:1005.3697},
year = {2015}
}
Comments
To appear in Phys. Rev. Lett