Spread of Entanglement in Non-Relativistic Theories

Lokhande, Sagar F.  (Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, Netherlands)

14 November 2018

Abstract: We use a simple holographic toy model to study global quantum quenches in strongly coupled, hyperscaling-violating-Lifshitz quantum field theories using entanglement entropy as a probe. Generalizing our conformal field theory results, we show that the holographic entanglement entropy of small subsystems can be written as a simple linear response relation. We use this relation to derive a time-dependent first law of entanglement entropy. In general, this law has a time-dependent term resembling relative entropy which we propose as a good order parameter to characterize out-of-equilibrium states in the post-quench evolution. We use these tools to study a broad class of quantum quenches in detail: instantaneous, power law, and periodic.

Published in: Advances in High Energy Physics 2018 (2018) 9151707
Published by: Hindawi
DOI: 10.1155/2018/9151707
arXiv: 1808.09979
License: CC-BY-3.0

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