We consider quantum Markov semigroups arising from the weak coupling limit of a system with generic Hamiltonian coupled to a boson Fock zero temperature reservoir. We find all the invariant states of a generic quantum Markov semigroup and compute explicitly the limit invariant state explicitly starting from an arbitrary initial state. We also show that convergence is exponentially fast under some natural assumptions.

中文翻译：

---

具有简并基态的通用量子马尔可夫半群：Fock 案例

我们考虑由具有耦合到玻色子福克零温度库的通用哈密顿量的系统的弱耦合极限产生的量子马尔可夫半群。我们找到了一个通用量子马尔可夫半群的所有不变状态，并明确地从任意初始状态开始计算极限不变状态。我们还表明，在一些自然假设下，收敛速度呈指数级增长。