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Finite temperature and quench dynamics in the Transverse Field Ising Model from form factor expansions
by Etienne Granet, Maurizio Fagotti, Fabian H. L. Essler
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Fabian Essler · Etienne Granet |
| Submission information | |
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| Preprint Link: | scipost_202003_00052v3 (pdf) |
| Date accepted: | 2020-08-24 |
| Date submitted: | 2020-08-10 10:16 |
| Submitted by: | Granet, Etienne |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
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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.
Author comments upon resubmission
We corrected the few typos noticed by one of the three referees, which were the only requested changes.
Published as SciPost Phys. 9, 033 (2020)