Abstract

Global quantum quench with a finite quench rate which crosses critical points is known to lead to universal scaling of correlation functions as functions of the quench rate. In this work, we explore scaling properties of the entanglement entropy of a subsystem in a harmonic chain during a mass quench which asymptotes to finite constant values at early and late times and for which the dynamics is exactly solvable. When the initial state is the ground state, we find that for large enough subsystem sizes the entanglement entropy becomes independent of size. This is consistent with Kibble–Zurek scaling for slow quenches, and with recently discussed “fast quench scaling” for quenches fast compared to physical scales, but slow compared to UV cutoff scales.

Document Type

Article

Publication Date

9-10-2017

Notes/Citation Information

Published in Physics Letters B, v. 772, p. 53-57.

© 2017 The Author(s).

This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

Digital Object Identifier (DOI)

https://doi.org/10.1016/j.physletb.2017.06.017

Funding Information

Funded by SCOAP3 - Sponsoring Consortium for Open Access Publishing in Particle Physics.

The work of S.R.D. is supported by a National Science Foundation grant NSF-PHY-1521045. The work of A.T. was supported in part by NSFC under grant number 11535012.

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