Quantum to classical transition in a system with a mixed classical dynamics

Abstract

We study how decoherence rules the quantum-classical transition of the Kicked Harmonic Oscillator (KHO). When the amplitude of the kick is changed the system presents a classical dynamics that range from regular to a strong chaotic behavior. We show that for regular and mixed classical dynamics, and in the presence of noise, the distance between the classical and the quantum phase space distributions is proportional to a single parameter $\chi \equiv K{\hslash }_{\mathrm{eff}}^2/4D^{3/2}$ which relates the effective Planck constant ${\hslash }_{\mathrm{eff}}$, the kick amplitude $K$ and the diffusion constant $D$. This is valid when $\chi <1$, a case that is always attainable in the semiclassical regime independently of the value of the strength of noise given by $D$. Our results extend a recent study performed in the chaotic regime.

10 pages, 7 figures

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Cited by in corpus (3)

• Scaling laws in the quantum to classical transition in chaotic systems
• Correspondence principle for the diffusive dynamics of a quartic oscillator: deterministic aspects and the role of temperature
• Classical correspondence beyond the Ehrenfest time for open quantum systems with general Lindbladians