作为探测准马约拉纳态手段的电流互相关
Current cross-correlations as probes for poor man's Majorana states
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中文总结 AI 辅助
研究利用含三个量子点的最小基塔耶夫链模拟拓扑超导体，引入电流 - 电流相关性框架验证准马约拉纳态的非局域性，发现其特征在最佳点周围稳定，强调该测量对验证相关态非局域性的重要性。
中文摘要 AI 辅助
模拟具有三个量子点的拓扑超导体的最小基塔耶夫链为潜在承载准马约拉纳（PMM）模式提供了一个可调平台。鉴于需要超越微分电导光谱法，我们引入电流 - 电流相关性作为验证其真正非局域性的可行框架。我们表明，PMM模式的稳健性，特别是当系统从最佳点调谐时关于离域化的稳健性，体现在非局域输运过程的相对大小中。这一方面被电流互相关巧妙地捕捉到，其特征在PMM最佳点周围表现出显著的稳定性，特别是关于外量子点的失谐。我们将此确立为一个显著特征，并作为即使在短链极限下真正PMM的诊断方法。我们的结果强调了将电流互相关测量作为明确验证纠缠态以及拓扑保护态真正非局域性的诊断框架的必要性。
英文摘要
The minimal Kitaev chain that emulates a topological superconductor with three quantum dots offers a tunable platform for potentially hosting poor man's Majorana (PMM) modes. Asserting the need to go beyond differential conductance spectroscopy, we introduce current-current correlations as a viable framework for verifying their true non-locality. The robustness of the PMM modes, specifically with respect to delocalization as the system is tuned away from sweet spots, we show, is embedded in the relative magnitudes of the nonlocal transport processes. This aspect is adeptly captured by current cross-correlations, whose features show remarkable stability around the PMM sweet spot, specifically with respect to the detuning of an outer dot. We establish this as a prominent feature and a diagnostic for true PMMs even in the short chain limit. Our results accentuate the need for current cross-correlation measurements as a diagnostic framework for unambiguously verifying true non-locality of entangled states as well as topologically protected states.
