标题： 安德列夫分子在距离处 显示英文标题

标题： Andreev molecules at distance

摘要： Andreev分子态来源于不同约瑟夫森结中Andreev束缚态的杂化。 大量理论和实验研究集中在结之间的直接相干电子耦合上：这意味着结之间的距离在超导相干长度量级，即很短。 我们提出并讨论在结之间长（原则上可以任意长）距离下创建Andreev分子的可能性。 在这种情况下，杂化的态是准粒子单态，而耦合由嵌入的电路提供。 为了实现强杂化，需将Andreev束缚态的能量与相关的相位差对齐。 事实上，最近的一个实验实现了这样的设置。 通过电路理论，我们推导出杂化能级分裂，并估计该效应的尺度。 由于该现象涉及激发态，我们在持续共振激发条件下推导并求解了相关的Lindblad方程。 通过分析得到的耗散动力学，我们确定了杂化和共振激发峰最显著的相关区域。 约瑟夫森结的低频互感是分子态和相关非局域约瑟夫森效应的重要特征。 我们展示了互感和自感的峰值结构，并在不同频率范围内计算它们。 在一个有趣的常见情况下，嵌入电路包含一个振荡器，该振荡器既可以用来增强杂化，也可以用于通过双频光谱进行状态读取。 我们推导并求解了双频光谱条件下的Lindblad方程，以演示分子态的读取。 显示英文摘要

摘要： Andreev molecule states arise from hybridization of Andreev bound states in different Josephson Junctions. Extensive theoretical and experimental research concentrates on direct coherent electron coupling between the junctions: this implies the distance between the junctions is of the order of superconducting coherence length, that is, short. We propose and discuss the possibility to create Andreev molecules at long (in principle, arbitrary long) distance between the junctions. In this case, the hybridized states are excited quasi-particle singlets and the coupling is provided by an embedding electric circuit. To achieve a strong hybridization, one aligns the energies of the Andreev bound states with associated phase differences. In fact, a recent experiment realizes such setup. With circuit theory we derive the hybridization level splitting and estimate the scale of the effect. Since the phenomenon encompasses excited states, we derive and solve the associated Lindblad equation under condition of persistent resonant excitation. By analyzing the resulting dissipative dynamics we identify relevant regimes where the hybridization and resonant excitation peaks are most pronounced. The low-frequency mutual inductance of the Josephson junctions is an important signature of the molecular state and associated non-local Josephson effect. We demonstrate the peak structures for both mutual and self-inductance, and compute them in various frequency regimes. In an interesting common case the embedding circuit includes an oscillator, which can be used both to enhance hybridization and for state readout with two-tone spectroscopy. We derive and solve Lindblad equations for the conditions of two-tone spectroscopy to demonstrate the the readout of molecular states.