Spread of Entanglement in Non-Relativistic Theories
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 results in arxiv:1705.10324 , 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.
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Cite
@article{arxiv.1808.09979,
title = {Spread of Entanglement in Non-Relativistic Theories},
author = {Sagar F. Lokhande},
journal= {arXiv preprint arXiv:1808.09979},
year = {2018}
}
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