退相干下库珀对泵浦的超绝热理论
Superadiabatic theory for Cooper pair pumping under decoherence
摘要:
我们介绍了一种方法,连续的坐标变换应用于减少在绝热主方程中的局部绝热参数截断所产生的误差。我们的方法减少了由于缺乏完全积极性而产生的非物理行为。在高库珀对泵浦频率下的强环境诱导弛豫导致绝热基态泵浦仅在最低阶近似下发生。我们说明了使用高阶理论的绝热性分解的频率的鲁棒性,并显示了最佳的环境耦合强度的出现,其中理想的泵浦被保存为最高频率。最后,我们研究了量子干涉对泵浦电流的影响,并给出了实验测量系统弛豫速率的估计。
英文摘要:
We introduce a method where successive coordinate transformations are applied to decrease the error in the adiabatic master equation resulting from truncation in the local adiabatic parameter. Our method reduces the nonphysical behaviour stemming from the lack of complete positivity. The strong environment-induced relaxation at high Cooper pair pumping frequencies leads to adiabatic ground-state pumping only in the lowest-order approximation. We illustrate the robustness of the frequency where the adiabaticity breaks down using the high-order theory and show the emergence of an optimal environmental coupling strength, for which ideal pumping is preserved for the highest frequency. Finally, we study the effect of quantum interference on the pumped current and give an estimate for the relaxation rate of an experimentally measured system.
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