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.
H´ ods´ agi, M
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abstract
We numerically simulate the time evolution of the Ising field theory after quenches starting from the $E_8$ integrable model using the Truncated Conformal Space Approach. The results are compared with two different analytic predictions based on form factor expansions in the pre-quench and post-quench basis, respectively. Our results clarify the domain of validity of these expansions and suggest directions for further improvement. We show for quenches in the $E_8$ model that the initial state is not of the integrable pair state form. We also construct quench overlap functions and show that their high-energy asymptotics are markedly different from those constructed before in the sinh/sine-Gordon theory, and argue that this is related to properties of the ultraviolet fixed point.
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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.