Complete generalized Gibbs ensembles in an interacting theory
In integrable many-particle systems, it is widely believed that the stationary state reached at late times after a quantum quench can be described by a generalized Gibbs ensemble (GGE) constructed from their extensive number of conserved charges. A crucial issue is then to identify a complete set of...
| Autors principals: | , , , , , |
|---|---|
| Format: | Journal article |
| Idioma: | English |
| Publicat: |
American Physical Society
2015
|
| _version_ | 1826300204069945344 |
|---|---|
| author | Ilievski, E De Nardis, J Wouters, B Caux, J Essler, F Prosen, T |
| author_facet | Ilievski, E De Nardis, J Wouters, B Caux, J Essler, F Prosen, T |
| author_sort | Ilievski, E |
| collection | OXFORD |
| description | In integrable many-particle systems, it is widely believed that the stationary state reached at late times after a quantum quench can be described by a generalized Gibbs ensemble (GGE) constructed from their extensive number of conserved charges. A crucial issue is then to identify a complete set of these charges, enabling the GGE to provide exact steady-state predictions. Here we solve this long-standing problem for the case of the spin- 1 / 2 Heisenberg chain by explicitly constructing a GGE which uniquely fixes the macrostate describing the stationary behavior after a general quantum quench. A crucial ingredient in our method, which readily generalizes to other integrable models, are recently discovered quasilocal charges. As a test, we reproduce the exact postquench steady state of the Néel quench problem obtained previously by means of the Quench Action method. |
| first_indexed | 2024-03-07T05:13:36Z |
| format | Journal article |
| id | oxford-uuid:dc6308c6-6e81-4bbb-8b5c-eef1f4bf50d0 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:13:36Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:dc6308c6-6e81-4bbb-8b5c-eef1f4bf50d02022-03-27T09:17:34ZComplete generalized Gibbs ensembles in an interacting theoryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:dc6308c6-6e81-4bbb-8b5c-eef1f4bf50d0EnglishSymplectic Elements at OxfordAmerican Physical Society2015Ilievski, EDe Nardis, JWouters, BCaux, JEssler, FProsen, TIn integrable many-particle systems, it is widely believed that the stationary state reached at late times after a quantum quench can be described by a generalized Gibbs ensemble (GGE) constructed from their extensive number of conserved charges. A crucial issue is then to identify a complete set of these charges, enabling the GGE to provide exact steady-state predictions. Here we solve this long-standing problem for the case of the spin- 1 / 2 Heisenberg chain by explicitly constructing a GGE which uniquely fixes the macrostate describing the stationary behavior after a general quantum quench. A crucial ingredient in our method, which readily generalizes to other integrable models, are recently discovered quasilocal charges. As a test, we reproduce the exact postquench steady state of the Néel quench problem obtained previously by means of the Quench Action method. |
| spellingShingle | Ilievski, E De Nardis, J Wouters, B Caux, J Essler, F Prosen, T Complete generalized Gibbs ensembles in an interacting theory |
| title | Complete generalized Gibbs ensembles in an interacting theory |
| title_full | Complete generalized Gibbs ensembles in an interacting theory |
| title_fullStr | Complete generalized Gibbs ensembles in an interacting theory |
| title_full_unstemmed | Complete generalized Gibbs ensembles in an interacting theory |
| title_short | Complete generalized Gibbs ensembles in an interacting theory |
| title_sort | complete generalized gibbs ensembles in an interacting theory |
| work_keys_str_mv | AT ilievskie completegeneralizedgibbsensemblesinaninteractingtheory AT denardisj completegeneralizedgibbsensemblesinaninteractingtheory AT woutersb completegeneralizedgibbsensemblesinaninteractingtheory AT cauxj completegeneralizedgibbsensemblesinaninteractingtheory AT esslerf completegeneralizedgibbsensemblesinaninteractingtheory AT prosent completegeneralizedgibbsensemblesinaninteractingtheory |