用于电场传感的量子电子穿梭机的等待时间
Electron Shuttle Waiting Times for Electric Field Sensing
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中文总结 AI 辅助
研究利用量子电子穿梭机的等待时间统计进行电场传感，通过马尔可夫量子主方程分析相关动力学及分布，估计机电耦合，比较经典与量子 Fisher 信息，结果显示从隧穿到穿梭的交叉使 Fisher 信息显著增强。
中文摘要 AI 辅助
我们探索在量子电子穿梭机中使用等待时间统计进行电场传感。电子穿梭机将纳米机械运动转化为电荷传输，在随机隧穿和机械辅助电荷转移之间呈现出噪声展宽的交叉。这使得能够研究传输涨落如何编码机电参数。使用处于强库仑阻塞和高偏置 regime 的单能级量子穿梭机以及马尔可夫量子主方程，我们分析相空间中的稳态动力学和等待时间分布。通过估计与电场成正比的机电耦合，我们评估等待时间中的经典 Fisher 信息，并将其与稳态的量子 Fisher 信息进行比较。我们将计量响应与平均等待时间、方差和 Fano 因子联系起来。我们的结果表明，从隧穿到穿梭的交叉特征是涨落增强和参数灵敏度增加，导致 Fisher 信息显著增强。
英文摘要
We explore the use of waiting-time statistics in a quantum electron shuttle for electric-field sensing. Electron shuttles convert nanomechanical motion into charge transport, showing a noise-broadened crossover between stochastic tunneling and mechanically assisted charge transfer. This allows investigation of how transport fluctuations encode electromechanical parameters. Using a single-level quantum shuttle in strong-Coulomb-blockade and high-bias regimes with a Markovian quantum master equation, we analyze stationary dynamics in phase space and waiting time distributions. By estimating the electromechanical coupling, proportional to the electric field, we evaluate the classical Fisher information in waiting times and compare it with the quantum Fisher information of the stationary state. We relate the metrological response to mean waiting time, variance, and Fano factor. Our results show that the crossover from tunneling to shuttling is characterized by enhanced fluctuations and increased parameter sensitivity, leading to a pronounced enhancement of the Fisher information.
