# Asymptotics of Quantum Markov semigroups

## Jaroslav Novotny

### (Czech Technical University in Prague)

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.