【报告题目】:量子开系统首达时间统计的大偏差:两个计算方法
【报告人】:柳飞教授,北京航空航天大学
【报告时间】:9月1日(周二)下午14:00
【报告地点】:21幢第三会议室
【报告摘要】:Computing large deviations is a very challenging task in nonequilibrium statistical physics. In this work, we propose two novel methods for computing the large deviations of the first-passage-time statistics in general open quantum systems. The first method determines the region of convergence of the joint Laplace transform and the z-transform of the first-passage time distribution by solving an equation of poles with respect to the z-transform parameter. The scaled cumulant generating function is then obtained as the logarithm of the boundary values within this region. The method extends beyond the one we previously proposed in a specific class of open quantum systems. In that case, quantum jump trajectories can be interpreted as a semi-Markov process. The second method uses a simulation-based approach built on the wave function cloning algorithm. When open quantum systems possess a large number of degrees of freedom, simulation becomes crucial. To validate both methods, we derive analytical expressions for the scaled cumulant generating functions in field-driven two-level and three-level systems. In addition, we present numerical results and cloning simulations for a field-driven system comprising two interacting two-level atoms.
【个人简介】:柳飞,北京航空航天大学物理学院教授、博士生导师。主要从事非平衡涨落的理论研究。近期关注开放量子系统的随机热力学,量子计数统计大偏差理论等。发表学术论文60余篇,专著《量子轨迹的功和热》一部。