论文标题
动态的Lee-Yang Zeros用于连续时间和离散时间随机过程
Dynamical Lee-Yang zeros for continuous-time and discrete-time stochastic processes
论文作者
论文摘要
我们通过使用动态的Lee-Yang Zeros来描述经典随机过程。该系统与外部潜在客户接触，时间演变由两国经典主方程描述。累积生成函数以分解形式编写，并且系统的当前分布的特征在于动态的Lee-Yang Zeros。我们表明，通过离散时间变量来获得零的连续分布。当过渡概率是时间的定期振荡函数时，零的分布将分为许多部分。我们通过将结果与绝热近似的结果进行比较来研究电流的几何特性。我们还在连续时间案例中使用Floquet-Magnus扩展来研究对快速驾驶状态下电流的动态影响。
We describe classical stochastic processes by using dynamical Lee-Yang zeros. The system is in contact with external leads and the time evolution is described by the two-state classical master equation. The cumulant generating function is written in a factorized form and the current distribution of the system is characterized by the dynamical Lee-Yang zeros. We show that a continuous distribution of zeros is obtained by discretizing the time variable. When the transition probability is a periodically-oscillating function of time, the distribution of zeros splits into many parts. We study the geometric property of the current by comparing the result with that of the adiabatic approximation. We also use the Floquet-Magnus expansion in the continuous-time case to study dynamical effects on the current at the fast-driving regime.
