We consider the time evolution of order parameter correlation functions after a sudden quantum quench of the magnetic field in the transverse field Ising chain. Using two novel methods based on determinants and form factor sums respectively, we derive analytic expressions for the asymptotic behaviour of one- and two-point correlators. We discuss quenches within the ordered and disordered phases as well as quenches between the phases and to the quantum critical point. We give detailed accounts of both methods.

Quantum quench in the transverse field Ising chain: I. Time evolution of order parameter correlators

Calabrese, Pasquale;ESSLER, Fabian Helmut Leonha;
2012-01-01

Abstract

We consider the time evolution of order parameter correlation functions after a sudden quantum quench of the magnetic field in the transverse field Ising chain. Using two novel methods based on determinants and form factor sums respectively, we derive analytic expressions for the asymptotic behaviour of one- and two-point correlators. We discuss quenches within the ordered and disordered phases as well as quenches between the phases and to the quantum critical point. We give detailed accounts of both methods.
2012
2012
Jul
1
73
P07016
https://arxiv.org/abs/1204.3911
Calabrese, Pasquale; Essler, Fabian Helmut Leonha; Fagotti, M.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/12490
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