Quantum Quench in the Transverse Field Ising chain I: Time evolution of order parameter correlators
Quantum Gases
2015-03-20 v3 Statistical Mechanics
Mathematical Physics
math.MP
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 account of both methods.
Keywords
Cite
@article{arxiv.1204.3911,
title = {Quantum Quench in the Transverse Field Ising chain I: Time evolution of order parameter correlators},
author = {P. Calabrese and F. H. L. Essler and M. Fagotti},
journal= {arXiv preprint arXiv:1204.3911},
year = {2015}
}
Comments
65 pages, 21 figures, some typos corrected