Phase-space continuity equations for quantum decoherence, purity, von Neumann and Renyi entropies

@article{Bernardini2019PhasespaceCE,
  title={Phase-space continuity equations for quantum decoherence, purity, von Neumann and Renyi entropies},
  author={Alex E. Bernardini and Orfeu Bertolami},
  journal={Journal of Physics: Conference Series},
  year={2019},
  volume={1275}
}
Phase-space features of the Wigner flow are examined so to provide a set of continuity equations that describe the flux of quantum information in the phase-space. The reported results suggest that the non-classicality profile of anharmonic (periodic) quantum systems can be consistently obtained in terms of the fluxes of probability, purity and von Neumann entropy. Extensions of the such phase-space quantifiers are also investigated in the context of the so-called Renyi entropy. 
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