论文标题
通过量子点接触的电子传输的瞬时排放速率
Instantaneous Emission Rate of Electron Transport through a quantum point contact
论文作者
论文摘要
我们提出了一种理论，可以描述量子辅助导体中电子传输的瞬时发射速率。由于Pauli排除原则，电子排放事件通常相关。这使得排放率不是恒定的，而是取决于排放过程的历史。为了结合这种历史依赖性，在本文中，我们通过条件强度函数表征了发射率，这已在随机点过程理论中引入。有条件强度函数可以视为自给定启动时间以来理想的单电子检测器观察到的瞬时发射率。我们通过研究由恒定电压驱动的单通道量子点接触的瞬时发射速率来证明该方法。随着量子点接触的打开，我们表明发射过程从靠近捏合的简单泊松过程发展为完全传输时的非更新过程。这些结果表明，条件强度函数可以在量子相关导体中对发射过程提供直观而统一的描述。
We present a theory to describe the instantaneous emission rate of electron transport in quantum-coherent conductors. Due to the Pauli exclusion principle, electron emission events are usually correlated. This makes the emission rate is not a constant, but depends on the history of the emission process. To incorporate such history dependence, in this paper we characterize the emission rate via the conditional intensity function, which has been introduced in the theory of random point process. The conditional intensity function can be treated as the instantaneous emission rate observed by an ideal single-electron detector since a given starting time. We demonstrate the method by studying the instantaneous emission rate of a single-channel quantum point contact driven by a constant voltage. As the quantum point contact is opened up, we show that the emission process evolves from a simple Poisson process close to pinch-off to a non-renewal process at full transmission. These results shows that the conditional intensity function can provide an intuitive and unified description of the emission process in quantum-coherent conductors.
