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Open Quantum Systems Decoherence
Non-Positive Semigroup Dynamics in Continuous Variable Models
arXiv
Authors: F. Benatti, R. Floreanini
Year
2007
Paper ID
50216
Status
Preprint
Abstract Read
~2 min
Abstract Words
77
Citations
N/A
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.
Why This Paper Matters
- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
- It adds a 2007 reference point for readers tracking recent quantum research.
- Non-positive, Markovian semigroups are sometimes used to describe the time evolution of subsystems immersed in an external environment.
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