We consider a time-dependent two-level quantum system interacting with a free Boson reservoir. The coupling is energy conserving and depends slowly on time, as does the system Hamiltonian, with a common adiabatic parameter \(\varepsilon \). Assuming that the system and reservoir are initially decoupled, with the reservoir in equilibrium at temperature \(T\ge 0\), we compute the transition probability from one eigenstate of the two-level system to the other eigenstate as a function of time, in the regime of small \(\varepsilon \) and small coupling constant \(\lambda \). We analyse the deviation from the adiabatic transition probability obtained in the absence of the reservoir.

我们考虑与自由玻色子储层相互作用的时变两能级量子系统。耦合是能量守恒的，并且缓慢地依赖于时间，就像具有共同绝热参数\（\ varepsilon \）的系统哈密顿量一样。假设系统和储层最初是分离的，并且储层在温度\（T \ ge 0 \）处于平衡状态，我们将计算两层系统一个本征态到另一本征态随时间的跃迁概率，在小\（\ varepsilon \）和小耦合常数\（\ lambda \）的情况下。我们分析了在没有油藏的情况下绝热转变概率的偏差。