Wigner function non-classicality as indicator of quantum chaos

Abstract

We propose a Wigner function based parameter that can be used as an indicator of quantum chaos. This parameter is defined as "entropy" from the time-dependence of "non-classicallity" proposed in \cite{KZ04}. We perform our considerations for the system of damped nonlinear (Kerr-like) oscillator excited by a series of ultra-short external pulses.

19 pages including 5 figures

References in corpus (3)

• Recurrence Plots for the Analysis of Complex Systems
• Negativity of the Wigner function as an indicator of nonclassicality
• Periodic-Orbit Theory of Level Correlations

Cited by in corpus (13)

• Quantum correlations and entanglement in a model comprised of a short chain of nonlinear oscillators
• Roughness as Classicality Indicator of a Quantum State
• Kullback-Leibler quantum divergence as an indicator of quantum chaos
• Functional renormalization group for quantized anharmonic oscillator
• Phase-locking at low-level of quanta
• Generalized phase-space description of non-linear Hamiltonian systems and the Harper-like dynamics
• Probing of quantum dissipative chaos by purity
• Gaussian fidelity distorted by external fields
• Quantum Path Computing: Computing Architecture with Propagation Paths in Multiple Plane Diffraction of Classical Sources of Fermion and Boson Particles
• Hamiltonian Dynamics of a Sum of Interacting Random Matrices
• Separability and entanglement in classical eigenfunctions as a criterion for Hamiltonian chaos
• Nonclassical light at exceptional points of a quantum PT-symmetric two-mode system
• Classical route to quantum chaotic motions