Quasiclassical approach to quantum quench dynamics in the presence of an excited-state quantum phase transition

Abstract

The dynamics of a quantum system following a sudden, highly non-adiabatic change of its control parameter (quantum quench) is studied with quasiclassical techniques. Recent works have shown, using exact quantum mechanical approach, that equilibration after quantum quench exhibits specific features in the presence of excited-state quantum phase transitions. In this paper, we demonstrate that these features can be understood from the classical evolution of the Wigner function in phase space.

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Cited by in corpus (10)

• Spectral kissing and its dynamical consequences in the squeeze-driven Kerr oscillator
• Theory of dynamical phase transitions in quantum systems with symmetry-breaking eigenstates
• Constant of motion identifying excited-state quantum phases
• Mechanism of dynamical phase transitions: The complex-time survival amplitude
• Scaling and Universality at Ramped Quench Dynamical Quantum Phase Transition
• Excited state quantum phase transition and Loschmidt echo spectra in a spinor Bose-Einstein condensate
• Excited stated quantum phase transitions and the entropy of the work distribution in the anharmonic Lipkin-Meshkov-Glick model
• Multifractality and excited-state quantum phase transition in ferromagnetic spin-$1$ Bose-Einstein condensates
• Energy cat states induced by a parity-breaking excited-state quantum phase transition
• Stabilization of product states and excited-state quantum phase transitions in a coupled qubit-field system