## 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.

Original language | English |
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Pages (from-to) | 53-57 |

Number of pages | 5 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 772 |

DOIs | |

State | Published - Sep 10 2017 |

### Bibliographical note

Funding Information:We thank Shinsei Ryu, Marek Rams, Krishnendu Sengupta and Tadashi Takayanagi for discussions and comments on the manuscript. The work of PC is supported by the Simons Foundation through the “It from Qubit” collaboration. 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. A part of numerical computation in this work was carried out at the Yukawa Institute Computer Facility.

Publisher Copyright:

© 2017 The Author(s)

## ASJC Scopus subject areas

- Nuclear and High Energy Physics