Physics – Quantum Physics
Scientific paper
2001-06-16
Physics
Quantum Physics
12 pages, LaTeX2e. To be published in: Trends in Mathematics, Stochastic Analysis and Mathematical Physics, ANESTOC, Proc. of
Scientific paper
Conditions sufficient for a quantum dynamical semigroup (QDS) to be unital are proved for a class of problems in quantum optics with Hamiltonians which are self-adjoint polynomials of any finite order in creation and annihilation operators. The order of the Hamiltonian may be higher than the order of completely positive part of the formal generator of a QDS. The unital property of a minimal quantum dynamical semigroup implies the uniqueness of the solution of the corresponding Markov master equation in the class of quantum dynamical semigroups and, in the corresponding representation, it ensures preservation of the trace or unit operator. We recall that only in the unital case the formal generator of MME determines uniquely the corresponding QDS.
Chebotarev Alexander
Garcia Julio
Quezada Roberto
No associations
LandOfFree
Interaction representation method for Markov master equations in quantum optics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Interaction representation method for Markov master equations in quantum optics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Interaction representation method for Markov master equations in quantum optics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-698971