Quantum quench in the transverse-field Ising chain.
We consider the time evolution of observables in the transverse-field Ising chain after a sudden quench of the magnetic field. We provide exact analytical results for the asymptotic time and distance dependence of one- and two-point correlation functions of the order parameter. We employ two complem...
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| Format: | Journal article |
| Language: | English |
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2011
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| author | Calabrese, P Essler, F Fagotti, M |
| author_facet | Calabrese, P Essler, F Fagotti, M |
| author_sort | Calabrese, P |
| collection | OXFORD |
| description | We consider the time evolution of observables in the transverse-field Ising chain after a sudden quench of the magnetic field. We provide exact analytical results for the asymptotic time and distance dependence of one- and two-point correlation functions of the order parameter. We employ two complementary approaches based on asymptotic evaluations of determinants and form-factor sums. We prove that the stationary value of the two-point correlation function is not thermal, but can be described by a generalized Gibbs ensemble (GGE). The approach to the stationary state can also be understood in terms of a GGE. We present a conjecture on how these results generalize to particular quenches in other integrable models. |
| first_indexed | 2024-03-06T22:55:53Z |
| format | Journal article |
| id | oxford-uuid:6059daec-fff0-4c38-b8b3-0fb0ee5e3896 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:55:53Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | oxford-uuid:6059daec-fff0-4c38-b8b3-0fb0ee5e38962022-03-26T17:52:56ZQuantum quench in the transverse-field Ising chain.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:6059daec-fff0-4c38-b8b3-0fb0ee5e3896EnglishSymplectic Elements at Oxford2011Calabrese, PEssler, FFagotti, MWe consider the time evolution of observables in the transverse-field Ising chain after a sudden quench of the magnetic field. We provide exact analytical results for the asymptotic time and distance dependence of one- and two-point correlation functions of the order parameter. We employ two complementary approaches based on asymptotic evaluations of determinants and form-factor sums. We prove that the stationary value of the two-point correlation function is not thermal, but can be described by a generalized Gibbs ensemble (GGE). The approach to the stationary state can also be understood in terms of a GGE. We present a conjecture on how these results generalize to particular quenches in other integrable models. |
| spellingShingle | Calabrese, P Essler, F Fagotti, M Quantum quench in the transverse-field Ising chain. |
| title | Quantum quench in the transverse-field Ising chain. |
| title_full | Quantum quench in the transverse-field Ising chain. |
| title_fullStr | Quantum quench in the transverse-field Ising chain. |
| title_full_unstemmed | Quantum quench in the transverse-field Ising chain. |
| title_short | Quantum quench in the transverse-field Ising chain. |
| title_sort | quantum quench in the transverse field ising chain |
| work_keys_str_mv | AT calabresep quantumquenchinthetransversefieldisingchain AT esslerf quantumquenchinthetransversefieldisingchain AT fagottim quantumquenchinthetransversefieldisingchain |