Time Dependence of Correlation Functions Following a Quantum Quench

Pasquale Calabrese and John Cardy
Phys. Rev. Lett. 96, 136801 – Published 3 April 2006

Abstract

We show that the time dependence of correlation functions in an extended quantum system in d dimensions, which is prepared in the ground state of some Hamiltonian and then evolves without dissipation according to some other Hamiltonian, may be extracted using methods of boundary critical phenomena in d+1 dimensions. For d=1 particularly powerful results are available using conformal field theory. These are checked against those available from solvable models. They may be explained in terms of a picture, valid more generally, whereby quasiparticles, entangled over regions of the order of the correlation length in the initial state, then propagate classically through the system.

  • Received 13 January 2006

DOI:https://doi.org/10.1103/PhysRevLett.96.136801

©2006 American Physical Society

Authors & Affiliations

Pasquale Calabrese1 and John Cardy2

  • 1Institute for Theoretical Physics, University of Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands
  • 2Oxford University, Rudolf Peierls Centre for Theoretical Physics, 1 Keble Road, Oxford, OX1 3NP, United Kingdom and All Souls College, Oxford, United Kingdom

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Issue

Vol. 96, Iss. 13 — 7 April 2006

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