Quantum quench in the transverse field Ising chain: I. Time evolution of order parameter correlators
Pasquale CalabreseDipartimento di Fisica dell’Università di Pisa and INFN, Pisa 56127, ItalyFabian H. L. EßlerThe Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford OX1 3NP, UKMaurizio FagottiThe Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford OX1 3NP, UK
2012en
ABI
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.
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Cited by 40 references