利用Susskind-Glogower算子求解Landau-Zener问题
Solution to the Landau-Zener problem via Susskind-Glogower operators
摘要：
我们表明，通过一个右酉变换，完全量子化的朗道-齐纳哈密顿在弱耦合制度可以解决使用已知的解决方案，从标准的朗道-齐纳问题。在强耦合制度，旋转波近似是无效的，我们表明，量子化的朗道-齐纳哈密顿可以对角化的原子基础上通过一个酉变换，从而允许通过截断的数值解的光子数制度。
英文摘要：
We show that, by means of a right-unitary transformation, the fully quantized Landau-Zener Hamiltonian in the weak-coupling regime may be solved by using known solutions from the standard Landau-Zener problem. In the strong-coupling regime, where the rotating wave approximation is not valid, we show that the quantized Landau-Zener Hamiltonian may be diagonalized in the atomic basis by means of a unitary transformation; hence allowing numerical solutions for the few photons regime via truncation.
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