The Semiclassical Regime of the Chaotic Quantum-Classical Transition

Abstract

An analysis of the semiclassical regime of the quantum-classical transition is given for open, bounded, one dimensional chaotic dynamical systems. Environmental fluctuations -- characteristic of all realistic dynamical systems -- suppress the development of fine structure in classical phase space and damp nonlocal contributions to the semiclassical Wigner function which would otherwise invalidate the approximation. This dual regularization of the singular nature of the semiclassical limit is demonstrated by a numerical investigation of the chaotic Duffing oscillator.

4 pages, 2 figures, submitted to CHAOS; revised version

References in corpus (8)

• Decoherence, Chaos, and the Second Law
• Decoherence, Chaos, and the Correspondence Principle
• Precision Measurements of Stretching and Compression in Fluid Mixing
• Continuous Quantum Measurement and the Emergence of Classical Chaos
• Information, disturbance and Hamiltonian quantum feedback control
• The Quantum-Classical Transition in Nonlinear Dynamical Systems
• Continuous Quantum Measurement and the Quantum to Classical Transition
• Environmental effects in the quantum-classical transition for the delta-kicked harmonic oscillator