Periodicity of dynamical signatures of chaos in quantum kicked top
arXiv:2311.03795 · doi:10.1016/j.physleta.2025.130596
Abstract
A host of dynamical measures of quantum correlations -- out-of-time ordered correlators (OTOC), Loschmidt echo, generalized entanglement and observational entropy -- are useful to infer the underlying classical chaotic dynamics in quantum regime. In this work, these measures are employed to analyse quantum kicked top with kick strength . It is shown that, despite the differences in their definitions, these measures are periodic with , and the periodicity depends on the number of spins represented by the kicked top. The periodic behaviour arises from the structure of the kicked top Floquet operator and spans the regime in which the corresponding classical dynamics is predominantly chaotic. We also point to the reflection symmetry in Loschmidt echo and a special case of time periodicity in OTOC. This result can guide experiments towards the right choice of kick strengths to avoid repetitive dynamics.
References in corpus (18)
- Black holes and the butterfly effect
- Dynamics of Loschmidt echoes and fidelity decay
- Environment-independent decoherence rate in classically chaotic systems
- Ergodic dynamics and thermalization in an isolated quantum system
- A subsystem-independent generalization of entanglement
- Proof of the Ergodic Theorem and the H-Theorem in Quantum Mechanics
- Kolmogorov-Sinai entropy-rate vs. physical entropy
- Purity and State Fidelity of Quantum Channels via Hamiltonians
- NMR studies of quantum chaos in a two-qubit kicked top
- Generalized entanglement as a framework for complex quantum systems: Purity vs delocalization measures
- Quantum operator growth bounds for kicked tops and semiclassical spin chains
- Periodicity of quantum correlations in the quantum kicked top
- Out-of-time-ordered correlators and the Loschmidt echo in the quantum kicked top: How low can we go?
- Generalized Entanglement as a Natural Framework for Exploring Quantum Chaos
- Observational entropy, coarse quantum states, and Petz recovery: information-theoretic properties and bounds
- Statistical and dynamical properties of the quantum triangle map
- Witnessing quantum chaos using observational entropy
- Lyapunov decay in quantum irreversibility