具有弱非线性约瑟夫森结池的量子系统动力学
Quantum system dynamics with a weakly nonlinear Josephson junction bath
摘要：
研究了由约瑟夫森结链组成的弱非线性约瑟夫森池对小量子系统（LC振荡器）动力学的影响。针对电荷能为最大能量标度的区域，在保持余弦势不变的情况下，微扰计算了Josephson浴的关联函数到Josephson能量除以电荷能的首阶.当充电能量沿链的变化确保浴关联函数的快速衰减时，可以通过马尔可夫主方程求解与约瑟夫森浴弱电容耦合的LC振荡器的动力学。我们分别建立了大荷电区和约瑟夫森能区之间的约瑟夫森浴的对偶关系。结果可以应用到的情况下，充电能量是不均匀的工程或无序的链。此外，我们发现，约瑟夫森浴可能成为非马尔可夫当温度增加超过零温度极限，浴关联函数得到移动一个常数，不随时间衰减。
英文摘要：
We investigate the influence of a weakly nonlinear Josephson bath consisting of a chain of Josephson junctions on the dynamics of a small quantum system (LC oscillator). Focusing on the regime where the charging energy is the largest energy scale, we perturbatively calculate the correlation function of the Josephson bath to the leading order in the Josephson energy divided by the charging energy while keeping the cosine potential exactly. When the variation of the charging energy along the chain ensures fast decay of the bath correlation function, the dynamics of the LC oscillator that is weakly and capacitively coupled to the Josephson bath can be solved through the Markovian master equation. We establish a duality relation for the Josephson bath between the regimes of large charging and Josephson energies respectively. The results can be applied to cases where the charging energy either is nonuniformly engineered or disordered in the chain. Furthermore, we find that the Josephson bath may become non-Markovian when the temperature is increased beyond the zero-temperature limit in that the bath correlation function gets shifted by a constant and does not decay with time.
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