Revival times at quantum phase transitions

Abstract

The concept of quantum revivals is extended to many-body systems and the implications of traversing a quantum phase transition are explored. By analyzing two different models, the vibron model for the bending of polyatomic molecules and the Dicke model for a quantum radiation field interacting with a system of two-level atoms, we show evidence of revival behavior for wave packets centered around energy levels as low as the fundamental state. Away from criticality, revival times exhibit smooth, nonsingular behavior, and are proportional to the system size. Upon approaching a quantum critical point, they diverge as a power law and scale with the system size, although the scaling is no longer linear.

6 pages, 6 figures

References in corpus (4)

• Excited state quantum phase transitions in many-body systems
• Floquet spin states in graphene under ac driven spin-orbit interaction
• Universal Critical Behavior in the Dicke Model
• Scaling behavior for a class of quantum phase transitions

Cited by in corpus (8)

• Quantum revivals and many-body localization
• Structure of eigenstates and quench dynamics at an excited state quantum phase transition
• Excited state quantum phase transitions in the bending spectra of molecules
• Anharmonicity-induced excited-state quantum phase transition in the symmetric phase of the two-dimensional limit of the vibron model
• Quantum fidelity susceptibility in excited state quantum phase transitions: application to the bending spectra of nonrigid molecules
• Fisher-Shannon product and quantum revivals in wavepacket dynamics
• Fisher information, nonclassicality and quantum revivals
• Quantum revivals in HgTe/CdTe quantum wells and topological phase transitions