Entanglement evolution in Lifshitz-type scalar theories
Abstract We study propagation of entanglement after a mass quench in free scalar Lifshitz theories. We show that entanglement entropy goes across three distinct growth regimes before relaxing to a generalized Gibbs ensemble, namely, initial rapid growth, main linear growth and tortoise saturation. W...
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2019-01-01
|
Series: | Journal of High Energy Physics |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1007/JHEP01(2019)137 |
id |
doaj-10472c94b1c840f99a9acd1bb15a7eec |
---|---|
record_format |
Article |
spelling |
doaj-10472c94b1c840f99a9acd1bb15a7eec2020-11-25T01:20:12ZengSpringerOpenJournal of High Energy Physics1029-84792019-01-012019112510.1007/JHEP01(2019)137Entanglement evolution in Lifshitz-type scalar theoriesM. Reza Mohammadi Mozaffar0Ali Mollabashi1Department of Physics, University of GuilanMax-Planck-Institut für Physik, Werner-Heisenberg-InstitutAbstract We study propagation of entanglement after a mass quench in free scalar Lifshitz theories. We show that entanglement entropy goes across three distinct growth regimes before relaxing to a generalized Gibbs ensemble, namely, initial rapid growth, main linear growth and tortoise saturation. We show that although a wide spectrum of quasi-particles are responsible for entanglement propagation, as long as the occupation number of the zero mode is not divergent, the linear main growth regime is dominated by the fastest quasi-particle propagating on the edges of a widen light-cone. We present strong evidences in support of effective causality and therefore define an effective notion of saturation time in these theories. The larger the dynamical exponent is, the shorter the linear main growth regime becomes. Due to a pile of tortoise modes which become dominant after saturation of fast modes, exact saturation time is postponed to infinity.http://link.springer.com/article/10.1007/JHEP01(2019)137Integrable Field TheoriesLattice Integrable ModelsLattice Quantum Field TheorySpace-Time Symmetries |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
M. Reza Mohammadi Mozaffar Ali Mollabashi |
spellingShingle |
M. Reza Mohammadi Mozaffar Ali Mollabashi Entanglement evolution in Lifshitz-type scalar theories Journal of High Energy Physics Integrable Field Theories Lattice Integrable Models Lattice Quantum Field Theory Space-Time Symmetries |
author_facet |
M. Reza Mohammadi Mozaffar Ali Mollabashi |
author_sort |
M. Reza Mohammadi Mozaffar |
title |
Entanglement evolution in Lifshitz-type scalar theories |
title_short |
Entanglement evolution in Lifshitz-type scalar theories |
title_full |
Entanglement evolution in Lifshitz-type scalar theories |
title_fullStr |
Entanglement evolution in Lifshitz-type scalar theories |
title_full_unstemmed |
Entanglement evolution in Lifshitz-type scalar theories |
title_sort |
entanglement evolution in lifshitz-type scalar theories |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2019-01-01 |
description |
Abstract We study propagation of entanglement after a mass quench in free scalar Lifshitz theories. We show that entanglement entropy goes across three distinct growth regimes before relaxing to a generalized Gibbs ensemble, namely, initial rapid growth, main linear growth and tortoise saturation. We show that although a wide spectrum of quasi-particles are responsible for entanglement propagation, as long as the occupation number of the zero mode is not divergent, the linear main growth regime is dominated by the fastest quasi-particle propagating on the edges of a widen light-cone. We present strong evidences in support of effective causality and therefore define an effective notion of saturation time in these theories. The larger the dynamical exponent is, the shorter the linear main growth regime becomes. Due to a pile of tortoise modes which become dominant after saturation of fast modes, exact saturation time is postponed to infinity. |
topic |
Integrable Field Theories Lattice Integrable Models Lattice Quantum Field Theory Space-Time Symmetries |
url |
http://link.springer.com/article/10.1007/JHEP01(2019)137 |
work_keys_str_mv |
AT mrezamohammadimozaffar entanglementevolutioninlifshitztypescalartheories AT alimollabashi entanglementevolutioninlifshitztypescalartheories |
_version_ |
1725134863686696960 |