Non-Positive Semigroup Dynamics in Continuous Variable Models

Details Non-Positive Semigroup Dynamics in Continuous Variable Models Non-Positive Semigroup Dynamics in Continuous Variable Models

2007-05-22

arxiv.org/abs/0705.3096v1

Physics

Quantum Physics

10 pages, LaTex

Scientific paper

Non-positive, Markovian semigroups are sometimes used to describe the time evolution of subsystems immersed in an external environment. A widely adopted prescription to avoid the appearance of negative probabilities is to eliminate from the admissible initial conditions those density matrices that would not remain positive by the action of the semigroup dynamics. Using a continuous variable model, we show that this procedure leads to physical inconsistencies when two subsystems are considered and their initial state is entangled.

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