Finite temperature and quench dynamics in the Transverse Field Ising Model from form factor expansions
We consider the problems of calculating the dynamical order parameter two-point function at finite temperatures and the one-point function after a quantum quench in the transverse field Ising chain. Both of these can be expressed in terms of form factor sums in the basis of physical excitations of t...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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SciPost
2020
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| _version_ | 1826273122287878144 |
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| author | Granet, E Fagotti, M Essler, FHL |
| author_facet | Granet, E Fagotti, M Essler, FHL |
| author_sort | Granet, E |
| collection | OXFORD |
| description | We consider the problems of calculating the dynamical order parameter two-point function at finite temperatures and the one-point function after a quantum quench in the transverse field Ising chain. Both of these can be expressed in terms of form factor sums in the basis of physical excitations of the model. We develop a general framework for carrying out these sums based on a decomposition of form factors into partial fractions, which leads to a factorization of the multiple sums and permits them to be evaluated asymptotically. This naturally leads to systematic low density expansions. At late times these expansions can be summed to all orders by means of a determinant representation. Our method has a natural generalization to semi-local operators in interacting integrable models. |
| first_indexed | 2024-03-06T22:23:22Z |
| format | Journal article |
| id | oxford-uuid:55cffa75-4b1b-4ce1-b151-597f7d6bf2b3 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:23:22Z |
| publishDate | 2020 |
| publisher | SciPost |
| record_format | dspace |
| spelling | oxford-uuid:55cffa75-4b1b-4ce1-b151-597f7d6bf2b32022-03-26T16:46:36ZFinite temperature and quench dynamics in the Transverse Field Ising Model from form factor expansionsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:55cffa75-4b1b-4ce1-b151-597f7d6bf2b3EnglishSymplectic ElementsSciPost2020Granet, EFagotti, MEssler, FHLWe consider the problems of calculating the dynamical order parameter two-point function at finite temperatures and the one-point function after a quantum quench in the transverse field Ising chain. Both of these can be expressed in terms of form factor sums in the basis of physical excitations of the model. We develop a general framework for carrying out these sums based on a decomposition of form factors into partial fractions, which leads to a factorization of the multiple sums and permits them to be evaluated asymptotically. This naturally leads to systematic low density expansions. At late times these expansions can be summed to all orders by means of a determinant representation. Our method has a natural generalization to semi-local operators in interacting integrable models. |
| spellingShingle | Granet, E Fagotti, M Essler, FHL Finite temperature and quench dynamics in the Transverse Field Ising Model from form factor expansions |
| title | Finite temperature and quench dynamics in the Transverse Field Ising Model from form factor expansions |
| title_full | Finite temperature and quench dynamics in the Transverse Field Ising Model from form factor expansions |
| title_fullStr | Finite temperature and quench dynamics in the Transverse Field Ising Model from form factor expansions |
| title_full_unstemmed | Finite temperature and quench dynamics in the Transverse Field Ising Model from form factor expansions |
| title_short | Finite temperature and quench dynamics in the Transverse Field Ising Model from form factor expansions |
| title_sort | finite temperature and quench dynamics in the transverse field ising model from form factor expansions |
| work_keys_str_mv | AT granete finitetemperatureandquenchdynamicsinthetransversefieldisingmodelfromformfactorexpansions AT fagottim finitetemperatureandquenchdynamicsinthetransversefieldisingmodelfromformfactorexpansions AT esslerfhl finitetemperatureandquenchdynamicsinthetransversefieldisingmodelfromformfactorexpansions |