Quantum recurrences in the kicked top

Abstract

The correspondence principle plays an important role in understanding the emergence of classical chaos from an underlying quantum mechanics. Here we present an infinite family of quantum dynamics that never resembles the analogous classical chaotic dynamics irrespective of dimension. These take the form of stroboscopic unitary evolutions in the quantum kicked top that act as the identity after a finite number of kicks. Because these state-independent temporal periodicities are present in all dimensions, their existence represents a universal violation of the correspondence principle. We further discuss the relationship of these periodicities with the quantum kicked rotor, in particular the phenomenon of quantum anti-resonance.

References in corpus (8)

• Chaos, entanglement and decoherence in the quantum kicked top
• A classical scaling theory of quantum resonances
• Entanglement dynamics in chaotic systems
• Entanglement and chaos in the kicked top
• Multiqubit symmetric states with maximally mixed one-qubit reductions
• Entanglement and its relationship to classical dynamics
• Quantum signatures of chaos, thermalization and tunneling in the exactly solvable few body kicked top
• Pseudoclassical dynamics of the kicked top

Cited by in corpus (5)

• Enhancing Quantum Metrology by Quantum Resonance Dynamics
• Chaos controlled and disorder driven phase transitions induced by breaking permutation symmetry
• Kicked-Ising Quantum Battery
• Exact Solvability Of Entanglement For Arbitrary Initial State in an Infinite-Range Floquet System
• Floquet Recurrences in the Double Kicked Top