The Quantum-Classical Transition in Nonlinear Dynamical Systems

Details The Quantum-Classical Transition in Nonlinear Dynamical Systems The Quantum-Classical Transition in Nonlinear Dynamical Systems

2000-10-26

arxiv.org/abs/quant-ph/0010093v1

Phys. Rev. Lett. 88, 040402 (2002)

Physics

Quantum Physics

4 pages, multicol revtex (2 figures)

Scientific paper

10.1103/PhysRevLett.88.040402

Viewed as approximations to quantum mechanics, classical evolutions can violate the positive-semidefiniteness of the density matrix. The nature of this violation suggests a classification of dynamical systems based on classical-quantum correspondence; we show that this can be used to identify when environmental interaction (decoherence) will be unsuccessful in inducing the quantum-classical transition. In particular, the late-time Wigner function can become positive without any corresponding approach to classical dynamics. In the light of these results, we emphasize key issues relevant for experiments studying the quantum-classical transition.

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