耦合到自由玻色子库的二能级系统的绝热跃迁
Adiabatic transitions in a two-level system coupled to a free Boson reservoir
摘要：
考虑了含时二能级量子系统与自由玻色子库的相互作用。耦合是能量守恒的，并且缓慢地依赖于时间，就像系统哈密顿量一样，具有共同的绝热参数$\varepsilon$。假设系统和水库最初是解耦的，与水库在温度$T\ge 0$平衡，我们计算从一个本征态的二能级系统的另一个本征态作为时间的函数，在小$\varepsilon$和小耦合常数$λ$的制度。我们分析了在没有水库的情况下获得的绝热跃迁概率的偏差。
英文摘要：
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 $λ$. We analyse the deviation from the adiabatic transition probability obtained in absence of the reservoir.
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