Time dependence of correlation functions following a quantum quench.

We show that the time dependence of correlation functions in an extended quantum system in d dimensions, which is prepared in the ground state of some Hamiltonian and then evolves without dissipation according to some other Hamiltonian, may be extracted using methods of boundary critical phenomena i...

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Main Authors: Calabrese, P, Cardy, J
Formato: Journal article
Idioma:English
Publicado: 2006
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author Calabrese, P
Cardy, J
author_facet Calabrese, P
Cardy, J
author_sort Calabrese, P
collection OXFORD
description We show that the time dependence of correlation functions in an extended quantum system in d dimensions, which is prepared in the ground state of some Hamiltonian and then evolves without dissipation according to some other Hamiltonian, may be extracted using methods of boundary critical phenomena in d + 1 dimensions. For d = 1 particularly powerful results are available using conformal field theory. These are checked against those available from solvable models. They may be explained in terms of a picture, valid more generally, whereby quasiparticles, entangled over regions of the order of the correlation length in the initial state, then propagate classically through the system.
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spelling oxford-uuid:a4e9056c-60c4-42c8-9128-96b10e7c8cfd2022-03-27T02:36:52ZTime dependence of correlation functions following a quantum quench.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a4e9056c-60c4-42c8-9128-96b10e7c8cfdEnglishSymplectic Elements at Oxford2006Calabrese, PCardy, JWe show that the time dependence of correlation functions in an extended quantum system in d dimensions, which is prepared in the ground state of some Hamiltonian and then evolves without dissipation according to some other Hamiltonian, may be extracted using methods of boundary critical phenomena in d + 1 dimensions. For d = 1 particularly powerful results are available using conformal field theory. These are checked against those available from solvable models. They may be explained in terms of a picture, valid more generally, whereby quasiparticles, entangled over regions of the order of the correlation length in the initial state, then propagate classically through the system.
spellingShingle Calabrese, P
Cardy, J
Time dependence of correlation functions following a quantum quench.
title Time dependence of correlation functions following a quantum quench.
title_full Time dependence of correlation functions following a quantum quench.
title_fullStr Time dependence of correlation functions following a quantum quench.
title_full_unstemmed Time dependence of correlation functions following a quantum quench.
title_short Time dependence of correlation functions following a quantum quench.
title_sort time dependence of correlation functions following a quantum quench
work_keys_str_mv AT calabresep timedependenceofcorrelationfunctionsfollowingaquantumquench
AT cardyj timedependenceofcorrelationfunctionsfollowingaquantumquench