Quantum Quench in the Transverse Field Ising Chain

Abstract

We consider the time evolution of observables in the transverse field Ising chain (TFIC) after a sudden quench of the magnetic field. We provide exact analytical results for the asymptotic time and distance dependence of one- and two-point correlation functions of the order parameter. We employ two complementary approaches based on asymptotic evaluations of determinants and form-factor sums. We prove that the stationary value of the two-point correlation function is not thermal, but can be described by a generalized Gibbs ensemble (GGE). The approach to the stationary state can also be understood in terms of a GGE. We present a conjecture on how these results generalize to particular quenches in other integrable models.

4 pages, 1 figure

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Cited by in corpus (5)

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• Initial state dependence of the quench dynamics in integrable quantum systems. III. Chaotic states
• Entanglement evolution across defects in critical anisotropic Heisenberg chains
• The quantum transverse-field Ising chain in circuit QED: effects of disorder on the nonequilibrium dynamics
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