Non-Positive Semigroup Dynamics in Continuous Variable Models
Quantum Physics
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0705.3096,
title = {Non-Positive Semigroup Dynamics in Continuous Variable Models},
author = {F. Benatti and R. Floreanini},
journal= {arXiv preprint arXiv:0705.3096},
year = {2007}
}