Complete positivity and dissipative factorized dynamics
- 17 September 2002
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 35 (39) , L551-L556
- https://doi.org/10.1088/0305-4470/35/39/101
Abstract
We show that any Hermiticity and trace preserving continuous semigroup gamma_t in d dimensions is completely positive if and only if the semigroup gamma_t otimes gamma_t is positivity preserving.Keywords
This publication has 13 references indexed in Scilit:
- Complete positivity and correlated neutral kaonsPhysics Letters B, 1999
- Non-Markovian stochastic Schrödinger equationThe Journal of Chemical Physics, 1999
- Non-Markovian quantum-state diffusion: Perturbation approachPhysical Review A, 1999
- Separability of mixed states: necessary and sufficient conditionsPhysics Letters A, 1996
- Positivity violation and initial slips in open systemsZeitschrift für Physik B Condensed Matter, 1996
- Reduced Dynamics Need Not Be Completely PositivePhysical Review Letters, 1994
- Memory effects in the relaxation of quantum open systemsThe Journal of Chemical Physics, 1992
- Kinetic equations from Hamiltonian dynamics: Markovian limitsReviews of Modern Physics, 1980
- On the generators of quantum dynamical semigroupsCommunications in Mathematical Physics, 1976
- Completely positive dynamical semigroups of N-level systemsJournal of Mathematical Physics, 1976