Spectral Analysis of the Quantum-Classical Transition

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

Recent work has linked the efficacy of environmental decoherence in inducing a quantum-classical transition to a measure on the density matrix. Weak or strong violations of the positive-semidefiniteness of the density matrix have been related to the negation or persistence, respectively, of quantum effects in the semiclassical regime. We report on the use of spectral analysis of Wigner functions, in a variety of systems, as a means of discerning which systems will easily undergo a decoherence induced quantum-classical transition. In particular, by analyzing how the classical and quantum soectra unfold when interacting with the environment, we attempt to seperate systems which can be understood via semiclassical approximations from those where such techniques are not effective.

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