Quantum Quench in the Transverse Field Ising chain I: Time evolution of order parameter correlators

Details Quantum Quench in the Transverse Field Ising chain I: Time evolution of order parameter correlators Quantum Quench in the Transverse Field Ising chain I: Time evolution of order parameter correlators

2012-04-17

arxiv.org/abs/1204.3911v1

Physics

Condensed Matter

Quantum Gases

65 pages, 21 figures

Scientific paper

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.

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