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...
Main Authors: | , |
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Formato: | Journal article |
Idioma: | English |
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2006
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_version_ | 1826289108121550848 |
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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. |
first_indexed | 2024-03-07T02:23:52Z |
format | Journal article |
id | oxford-uuid:a4e9056c-60c4-42c8-9128-96b10e7c8cfd |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-07T02:23:52Z |
publishDate | 2006 |
record_format | dspace |
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 |