We prove that every stationary state in the annihilator of all Kraus operators of a weak coupling limit-type Markov generator consists of two pieces, one of them supported on the interaction-free subspace and the second one on its orthogonal complement. In particular, we apply the previous result to describe in detail the structure of a slightly modified quantum transport model due to Arefeva et al. (modified AKV’s model) studied first in [J. C. García et al., Entangled and dark stationary states of excitation energy transport models in many-particles systems and photosynthesis, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 21(3) (2018), Article ID: 1850018, p. 21, doi:10.1142/S0219025718500182], in terms of generalized annihilation and creation operators.

中文翻译：

---

弱耦合极限型马尔可夫发生器的稳态和量子输运模型

我们证明了弱耦合极限型马尔可夫发生器的所有克劳斯算子的湮没子中的每个静止状态都由两部分组成，其中一个支持在无相互作用子空间上，第二个支持在其正交补上。特别是，我们应用先前的结果来详细描述由于 Arefeva 等人而略微修改的量子传输模型的结构。（修改的 AKV 模型）首先在 [JC García 等人，多粒子系统和光合作用中激发能量传输模型的纠缠和暗静止状态，Infin。尺寸。肛门。量子概率。关系。最佳。21(3) (2018)，文章 ID：1850018，p。21、doi:10.1142/S0219025718500182]，广义的湮灭和创造算子。