Critical behavior at dynamical phase transition in the generalized Bose-Anderson model

Abstract

Critical properties of the dynamical phase transition in the quenched generalized Bose-Anderson impurity model are studied in the mean-field limit of an infinite number of channels. The transition separates the evolution toward ground state and toward the branch of stable excited states. We perform numerically exact simulations of a close vicinity of the critical quench amplitude. The relaxation constant describing the asymptotic evolution toward ground state, as well as asymptotic frequency of persistent phase rotation and number of cloud particles at stable excited state are power functions of the detuning from the critical quench amplitude. The critical evolution (separatrix between the two regimes) shows a non-Lyapunov power-law instability arising after a certain critical time. The observed critical behavior is attributed to the irreversibility of the dynamics of particles leaving the cloud and to memory effects related to the low-energy behavior of the lattice density of states.

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Cited by in corpus (5)

• Dynamical quantum phase transitions in non-Hermitian lattices
• Dynamical quantum phase transitions in systems with broken continuous time and space translation symmetries
• Dynamical quantum phase transitions in a spin chain with deconfined quantum critical points
• Dynamical relaxation behaviors of a critical quench
• Mean Field Decoupling of Single Impurity Anderson Model through Auxiliary Majorana Fermions