Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems

TL;DR

This paper explores quantum fluctuation theorems and counting statistics, providing a unified framework for analyzing nonequilibrium quantum systems, with applications to quantum transport and methods for calculating energy and particle fluctuations.

Contribution

It introduces a unified approach to derive fluctuation theorems for various quantum systems using two-point measurements, applicable to both closed and open systems under different conditions.

Findings

Derived fluctuation theorems for quantum systems driven out of equilibrium.

Applied the framework to fermion and boson transport in quantum junctions.

Presented methods for computing energy and particle statistics using quantum master equations and Green's functions.

Abstract

Fluctuation theorems (FTs), which describe some universal properties of nonequilibrium fluctuations, are examined from a quantum perspective and derived by introducing a two-point measurement on the system. FTs for closed and open systems driven out of equilibrium by an external time-dependent force, and for open systems maintained in a nonequilibrium steady-state by nonequilibrium boundary conditions, are derived from a unified approach. Applications to fermion and boson transport in quantum junctions are discussed. Quantum master equations and Green's functions techniques for computing the energy and particle statistics are presented.