Loschmidt Echo Revivals: Critical and Noncritical
Abstract
A quantum phase transition is generally thought to imprint distinctive characteristics on the nonequilibrium dynamics of a closed quantum system. Specifically, the Loschmidt echo after a sudden quench to a quantum critical point measuring the time dependence of the overlap between initial and time-evolved states is expected to exhibit an accelerated relaxation followed by periodic revivals. We here introduce a new exactly solvable model, the extended Su-Schrieffer-Heeger model, the Loschmidt echo of which provides a counterexample. A parallell analysis of the quench dynamics of the three-site spin-interacting model allows us to pinpoint the conditions under which a periodic Loschmidt revival actually appears
Cite
@article{arxiv.1612.07046,
title = {Loschmidt Echo Revivals: Critical and Noncritical},
author = {R. Jafari and Henrik Johannesson},
journal= {arXiv preprint arXiv:1612.07046},
year = {2017}
}
Comments
9 pages, 6 figures (including Supplemental Material); to appear in Phys. Rev. Lett