The structure of uniformly continuous quantum Markov semigroups with atomic decoherence-
free subalgebra is established providing a natural decomposition of a Markovian open …

We present a simple proof of a sufficient condition for the uniqueness of nonequilibrium
steady states of Gorini-Kossakowski-Sudarshan-Lindblad equations. We demonstrate the …

By considering a solvable driven-dissipative quantum model, we demonstrate that
continuous phase transitions in dissipative systems may occur without an accompanying …

Quantum dynamical semigroups QDS appeared for the first time in the physical literature
during the 1970s motivated by studies on the evolution of open systems. This class of …

The dynamics of Markovian open quantum systems are described by Lindblad master
equations, generating a quantum dynamical semigroup. An important concept for such …

We consider the most general Gaussian quantum Markov semigroup on a one-mode Fock
space, discuss its construction from the generalized GKSL representation of the generator …

Let be a quantum Markov semigroup on with a faithful normal invariant state ρ. The
decoherence-free subalgebra of is the biggest subalgebra of where the completely positive …

This article introduces a concept of transience and recurrence for a Quantum Markov
Semigroup and explores its main properties via the associated potential. We show that an …

In this Article we analyze the algebraic properties of the asymptotic dynamics of finite-
dimensional open quantum systems in the Heisenberg picture. In particular, a natural …

For a quantum channel (completely positive, trace-preserving map), we prove a
generalization to the infinite-dimensional case of a result by Baumgartner and Narnhofer [3] …