Thermodynamic formalism for continuous-time quantum Markov semigroups: the detailed balance condition, entropy, pressure and equilibrium quantum processes

Jader E. Brasil, Josue Knorst, Artur O. Lopes

$M_n(\mathbb{C})$ denotes the set of $n$ by $n$ complex matrices. Consider continuous time quantum semigroups ${\mathcal{P}}_t=e^{t\mathcal{L}}$, $t\ge 0$, where $\mathcal{L}:M…