Iterative Measurement-Feedback Procedure for Large Deviation Statistics

In this chapter, we study the phenomenological structure for the large deviation principle in time-averaged quantities defined on continuous-time Markov process. Based on the idea of thermodynamic integration, we propose a method to calculate the large deviation function, constituted of measurements and feedbacks, and apply it to many-body lattice gas models for non equilibrium process. To the best of our knowledge, this is the first success of the calculation of large deviation function in non-equilibrium systems without relying on numerical technique such as copying rare-events, with keeping a future possibility of its application to real experiments.