Asymptotics of Quantum Markov semigroups
Time: Wed Feb 11 13:00:00 2015
Location: Building 1, Auditorium
Spectral properties of quantum Markov dynamical semigroups (QMDS) are investigated. We show that the part of Liouvillians responsible for the asymptotic evolution of QMDSs can be diagonalized in terms of orthonormal attractors. An explicit form of these attractors is fixed by a set of linear equations involving the given Hamiltonian and Lindblad operators. As they share important algebraic properties one can cast all stationary states of a unital QMDS in a Gibbs-like equilibrium form.