We characterize the stationary states of an excitation energy transfer model in quantum many-particle systems [Y. Aref’eva, I. Volovich and S. Kozyrev, Stochastic limit method and interference in quantum many-particles systems, Theor. Math. Phys. 183(3) (2015) 782–799] as well as the stationary states of a quantum photosynthesis model [S. Kozyrev and I. Volovich, Dark states in quantum photosynthesis, arXiv:1603.07182v1 [physics.bio-ph]] in terms of a transport operator. It turns out that, apart from the ground state, all invariant states of the excitation energy transport model are entangled. For the photosynthesis model, any invariant state in the commutant of the system Hamiltonian is a mixed bright–dark state in the sense of [S. Kozyrev and I. Volovich, Dark states in quantum photosynthesis, arXiv:1603.07182v1 [physics.bio-ph]] and it is pure dark if and only if the bright vector belongs to the kernel of this state.

中文翻译：

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量子多粒子系统和光合作用中激发能量传输模型的纠缠和暗稳态

我们描述了量子多粒子系统中激发能量转移模型的静止状态 [Y. Aref'eva，I. Volovich 和 S. Kozyrev，随机极限方法和量子多粒子系统中的干涉，理论。数学。物理。183(3) (2015) 782–799] 以及量子光合作用模型的静止状态 [S. Kozyrev 和 I. Volovich，量子光合作用中的暗态，arXiv:1603.07182v1 [physics.bio-ph]] 就传输算子而言。事实证明，除了基态之外，激发能量传输模型的所有不变状态都是纠缠的。对于光合作用模型，系统哈密顿量的交换子中的任何不变状态都是[S. Kozyrev 和 I. Volovich，量子光合作用中的暗态，arXiv:1603.07182v1 [物理学。