Related papers: Finite temperature and quench dynamics in the Transverse Field Ising Model from form factor expansions

Finite temperature and quench dynamics in the Transverse Field Ising Model from form factor expansions

URL: http://arxiv.org/abs/2003.09014v2
Date: Thu, 29 Oct 2020 10:53:35 GMT
Title: Finite temperature and quench dynamics in the Transverse Field Ising Model from form factor expansions
Authors: Etienne Granet, Maurizio Fagotti, Fabian H. L. Essler
Abstract summary: We consider the problems of calculating the dynamical order parameter two-point function at finite temperatures. We develop a general framework for carrying out these sums based on a decomposition of form factors into partial fractions.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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.

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