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Quantum Quench in the Transverse Field Ising Chain

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arxiv 1104.0154 v1 pith:ECFNII33 submitted 2011-04-01 cond-mat.str-el quant-ph

Quantum Quench in the Transverse Field Ising Chain

Pasquale Calabrese , Fabian H. L. Essler , Maurizio Fagotti This is my paper
classification cond-mat.str-el quant-ph
keywords fieldasymptoticchaincorrelationisingquenchresultsstationary
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 3 Pith papers

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  1. Expectation values after an integrable boundary quantum quench

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    A form factor framework is introduced to compute expectation values and time evolution after an integrable boundary quantum quench, applied to the Lee-Yang model at conformal and massive points with TCSA validation.

  2. Expectation values after an integrable boundary quantum quench

    hep-th 2026-05 unverdicted novelty 6.0

    A form-factor-based framework is introduced for expectation values after an integrable boundary quantum quench in the Lee-Yang model and validated numerically via adapted truncated conformal space approach.

  3. Confinement in the three-state Potts quantum spin chain in extreme ferromagnetic limit

    cond-mat.stat-mech 2025-08 unverdicted novelty 6.0

    Perturbative study of the three-state Potts model reveals hybridization of kink excitations with bound states and analytic post-quench evolution that matches numerical simulations.