Full counting statistics in the transverse field Ising chain
We consider the full probability distribution for the transverse magnetization of a finite subsystem in the transverse field Ising chain. We derive a determinant representation of the corresponding characteristic function for general Gaussian states. We consider applications to the full counting sta...
| Autors principals: | , , |
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| Format: | Journal article |
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SciPost
2018
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| _version_ | 1826297092657643520 |
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| author | Groha, S Essler, F Calabrese, P |
| author_facet | Groha, S Essler, F Calabrese, P |
| author_sort | Groha, S |
| collection | OXFORD |
| description | We consider the full probability distribution for the transverse magnetization of a finite subsystem in the transverse field Ising chain. We derive a determinant representation of the corresponding characteristic function for general Gaussian states. We consider applications to the full counting statistics in the ground state, finite temperature equilibrium states, non-equilibrium steady states and time evolution after global quantum quenches. We derive an analytical expression for the time and subsystem size dependence of the characteristic function at sufficiently late times after a quantum quench. This expression features an interesting multiple light-cone structure. |
| first_indexed | 2024-03-07T04:26:18Z |
| format | Journal article |
| id | oxford-uuid:ccc013d0-da01-43c1-8a29-f180f53e317c |
| institution | University of Oxford |
| last_indexed | 2024-03-07T04:26:18Z |
| publishDate | 2018 |
| publisher | SciPost |
| record_format | dspace |
| spelling | oxford-uuid:ccc013d0-da01-43c1-8a29-f180f53e317c2022-03-27T07:24:03ZFull counting statistics in the transverse field Ising chainJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ccc013d0-da01-43c1-8a29-f180f53e317cSymplectic Elements at OxfordSciPost2018Groha, SEssler, FCalabrese, PWe consider the full probability distribution for the transverse magnetization of a finite subsystem in the transverse field Ising chain. We derive a determinant representation of the corresponding characteristic function for general Gaussian states. We consider applications to the full counting statistics in the ground state, finite temperature equilibrium states, non-equilibrium steady states and time evolution after global quantum quenches. We derive an analytical expression for the time and subsystem size dependence of the characteristic function at sufficiently late times after a quantum quench. This expression features an interesting multiple light-cone structure. |
| spellingShingle | Groha, S Essler, F Calabrese, P Full counting statistics in the transverse field Ising chain |
| title | Full counting statistics in the transverse field Ising chain |
| title_full | Full counting statistics in the transverse field Ising chain |
| title_fullStr | Full counting statistics in the transverse field Ising chain |
| title_full_unstemmed | Full counting statistics in the transverse field Ising chain |
| title_short | Full counting statistics in the transverse field Ising chain |
| title_sort | full counting statistics in the transverse field ising chain |
| work_keys_str_mv | AT grohas fullcountingstatisticsinthetransversefieldisingchain AT esslerf fullcountingstatisticsinthetransversefieldisingchain AT calabresep fullcountingstatisticsinthetransversefieldisingchain |