Journal article
Finite temperature and quench dynamics in the Transverse Field Ising Model from form factor expansions
- Abstract:
- 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, 569.7KB, Terms of use)
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- Publisher copy:
- 10.21468/scipostphys.9.3.033
Authors
- Publisher:
- SciPost
- Journal:
- SciPost Physics More from this journal
- Volume:
- 9
- Issue:
- 3
- Article number:
- 033
- Publication date:
- 2020-09-04
- Acceptance date:
- 2020-08-24
- DOI:
- EISSN:
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2542-4653
- Language:
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English
- Keywords:
- Pubs id:
-
1101371
- Local pid:
-
pubs:1101371
- Deposit date:
-
2021-05-06
Terms of use
- Copyright holder:
- E Granet et al.
- Copyright date:
- 2020
- Rights statement:
- Copyright E. Granet et al. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation.
- Licence:
- CC Attribution (CC BY)
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