Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field

The non-equilibrium evolution of the block entanglement entropy is investigated in the XY chain in a transverse magnetic field after the Hamiltonian parameters are suddenly changed from and to arbitrary values. Using Toeplitz matrix representation and multidimensional phase methods, we provide analy...

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Main Authors: Fagotti, M, Calabrese, P
Formato: Journal article
Idioma:English
Publicado em: 2008
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author Fagotti, M
Calabrese, P
author_facet Fagotti, M
Calabrese, P
author_sort Fagotti, M
collection OXFORD
description The non-equilibrium evolution of the block entanglement entropy is investigated in the XY chain in a transverse magnetic field after the Hamiltonian parameters are suddenly changed from and to arbitrary values. Using Toeplitz matrix representation and multidimensional phase methods, we provide analytic results for large blocks and for all times, showing explicitly the linear growth in time followed by saturation. The consequences of these analytic results are discussed and the effects of a finite block length is taken into account numerically.
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spelling oxford-uuid:5ccaf9b5-dc64-48d0-ab1b-5f3ceedc4fb52022-03-26T17:30:21ZEvolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic fieldJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:5ccaf9b5-dc64-48d0-ab1b-5f3ceedc4fb5EnglishSymplectic Elements at Oxford2008Fagotti, MCalabrese, PThe non-equilibrium evolution of the block entanglement entropy is investigated in the XY chain in a transverse magnetic field after the Hamiltonian parameters are suddenly changed from and to arbitrary values. Using Toeplitz matrix representation and multidimensional phase methods, we provide analytic results for large blocks and for all times, showing explicitly the linear growth in time followed by saturation. The consequences of these analytic results are discussed and the effects of a finite block length is taken into account numerically.
spellingShingle Fagotti, M
Calabrese, P
Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
title Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
title_full Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
title_fullStr Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
title_full_unstemmed Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
title_short Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
title_sort evolution of entanglement entropy following a quantum quench analytic results for the xy chain in a transverse magnetic field
work_keys_str_mv AT fagottim evolutionofentanglemententropyfollowingaquantumquenchanalyticresultsforthexychaininatransversemagneticfield
AT calabresep evolutionofentanglemententropyfollowingaquantumquenchanalyticresultsforthexychaininatransversemagneticfield