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

We prove sharp universal upper bounds on the number of linearly independent steady and
asymptotic states of discrete-and continuous-time Markovian evolutions of open quantum …

We discuss several aspects concerning the asymptotic dynamics of discrete-time
semigroups associated with a quantum channel. By using an explicit expression of the …

This article introduces a concept of subharmonic projections for a quantum Markov
semigroup, in view of characterizing the support projection of a stationary state in terms of …

By extending the concept of energy-constrained diamond norms, we obtain continuity
bounds on the dynamics of both closed and open quantum systems in infinite dimensions …

Model checking is one of the most successful verification techniques and has been widely
adopted in traditional computing and communication hardware and software industries. This …

The theory of quantum dynamical semigroups within the mathematically rigorous framework
of completely positive dynamical maps is reviewed. First, the axiomatic approach which …

Within the standard weak-coupling limit, the reduced dynamics of open quantum spin chains
with their two end spins coupled to two distinct heat baths at different temperatures are …

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 …

We study a generic family of Lindblad master equations modeling bipartite open quantum
systems, where one tries to stabilize a quantum system by carefully designing its interaction …