Speaker: Paul Menczel (RIKEN)

Date and time: April 9th, 17:30-

Title:  Full counting statistics and first-passage times in quantum Markovian processes

Abstract: The statistical properties of charge exchanged between an open system and its environment can be analyzed by studying jumps in the system state along dynamical trajectories. Two complementary approaches to this problem are the full counting statistics and the first-passage time statistics. The former is the distribution of emitted charge at a fixed time, and the latter is the distribution of times taken to reach a given amount of emitted charge. Earlier work has shown that the two approaches are closely related in the limit of long observation times. We extend this relation to finite times and develop a correspondence between ensembles averaged at a fixed time, and ensembles averaged at a fixed jump count. Further, our derivations show that violations of these relations indicate the presence of metastable or dark states, and they result in a fluctuation theorem that relates the spectrum of the tilted generator with the probability of observing rare fluctuations.