利用广义阶乘累积量检测平衡态和非平衡态系统中的相互作用
Detection of interactions via generalized factorial cumulants in systems in and out of equilibrium
摘要：
我们引入时间相关的，广义阶乘累积量$C_s^m(t)$的电子转移的全计数统计作为一种工具，以检测纳米结构中的相互作用。对于\emph{any}时间$t$、顺序$m$和参数$s$违反符号准则$(-1)^{m-1} C^m_s(t)\ge0$证明了相互作用的存在。对于给定的系统参数，有一个最小的时间跨度$t_\text{min}$和一个最小的顺序$m$观察违反的标志准则。我们证明了广义阶乘累积量比普通的相互作用更敏感，即使在普通阶乘累积量失败的制度，也可以检测到相互作用。我们用一个量子点隧道耦合到电子库的例子来说明我们的研究结果。
英文摘要：
We introduce time-dependent, generalized factorial cumulants $C_s^m(t)$ of the full counting statistics of electron transfer as a tool to detect interactions in nanostructures. The violation of the sign criterion $(-1)^{m-1} C^m_s(t)\ge0$ for \emph{any} time $t$, order $m$, and parameter $s$ proves the presence of interactions. For given system parameters, there is a minimal time span $t_\text{min}$ and a minimal order $m$ to observe the violation of the sign criterion. We demonstrate that generalized factorial cumulants are more sensitive to interactions than ordinary ones and can detect interactions even in regimes where ordinary factorial cumulants fail. We illustrate our findings with the example of a quantum dot tunnel coupled to electronic reservoirs either in or out of equilibrium.
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