相互作用量子点系统中马约拉纳零模的绝热误差与传播
Diabatic error and propagation of Majorana zero modes in interacting quantum dots systems
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中文总结 AI 辅助
该研究通过调节量子点栅极电压移动马约拉纳零模，分析非绝热误差，发现最优势垒高度至关重要，并证明在六量子点系统中可在量子比特寿命内完成转移。
中文摘要 AI 辅助
受近期利用量子点系统实现马约拉纳零模（MZMs）实验进展的启发，我们研究了与这些MZMs移动相关的非绝热误差。该移动通过调节施加在单个量子点上的含时栅极电压来实现，有效形成一个移动的势垒。为了探究MZMs的优化移动，我们利用多体含时数值方法计算了实验上可访问的局域态密度和含时保真度。我们的分析表明，一个最优的势垒高度对于在移动过程中保持MZM的局域化特性至关重要。此外，我们首次分析了实际量子点系统中的非绝热误差，包含了排斥性库仑相互作用以及跳跃项和配对项中无序效应的影响。另外，我们对MZMs移动过程中多个栅极同时调节与顺序调节所产生的非绝热误差进行了比较研究。最后，我们估算了在六量子点系统中MZM转移所需的时间尺度，证明了在实际量子点装置中，MZM的移动是可行的，并且可以在量子比特的工作寿命内顺利完成。
英文摘要
Motivated by recent experimental progress in realizing Majorana zero modes (MZMs) using quantum dot systems, we investigate the diabatic errors associated with the movement of those MZMs. The movement is achieved by tuning time-dependent gate potentials applied to individual quantum dots, effectively creating a moving potential wall. To probe the optimized movement of MZMs, we calculate the experimentally accessible local density-of-states and time-dependent fidelity using many-body time-dependent numerical methods. Our analysis reveals that an optimal potential wall height is crucial to preserve the well-localized nature of the MZM during its movement. Moreover, for the first time, we analyze diabatic errors in realistic quantum-dot systems, incorporating the effects of repulsive Coulomb interactions and disorder in both hopping and pairing terms. Additionally, we provide a comparative study of diabatic errors arising from the simultaneous versus sequential tuning of multiple gates during the MZMs movement. Finally, we estimate the time scale required for MZM transfer in a six-quantum-dot system, demonstrating that MZM movement is feasible and can be completed well within the qubit's operational lifetime in practical quantum-dot setups.
