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.
Quantum Quench in the Transverse Field Ising Chain
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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.
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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.
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Confinement in the three-state Potts quantum spin chain in extreme ferromagnetic limit
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.
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Expectation values after an integrable boundary quantum quench
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.