论文标题

在两级系统中的绝热过渡与免费的玻色子储层耦合

Adiabatic transitions in a two-level system coupled to a free Boson reservoir

论文作者

Joye, Alain, Merkli, Marco, Spehner, Dominique

论文摘要

我们考虑一个与自由玻色子储层相互作用的时间依赖性的两级量子系统。耦合是节能的能量,并且与时间一样缓慢地依赖于时间,而哈密顿系统也具有通用的绝热参数$ \ varepsilon $。假设系统和储层最初是分离的,并且在温度下的储层处于平衡$ t \ ge 0 $,我们计算了从两级系统的一个特征到另一个特征状态的过渡概率,作为时间的另一个特征,在小$ \ varepsilon $ $ \ varepsilon $和不变的$ coupling $ $ $上。我们分析了在没有储层的情况下获得的绝热过渡概率的偏差。

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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