Fluctuation theorems (FTs), which describe some universal properties of nonequilibrium
fluctuations, are examined from a quantum perspective and derived by introducing a two …

Direct measurements of spin fluctuations are becoming the mainstream approach for studies
of complex condensed matter, molecular, nuclear, and atomic systems. This review covers …

Continuously measured quantum systems are characterized by an output current, in the form
of a stochastic and correlated time series, which conveys crucial information about the …

The physics of non-equilibrium many-body systems is a rapidly expanding area of
theoretical physics. Traditionally employed in laser physics and superconducting kinetics …

Active-matter systems operate far from equilibrium because of the continuous energy
injection at the scale of constituent particles. At larger scales, described by coarse-grained …

During the 11 years since the first edition was published the field of quantum kinetics has
experienced a great expansion, and the methods described in the first edition are now …

These lecture notes give a short review of methods such as the matrix ansatz, the additivity
principle or the macroscopic fluctuation theory, developed recently in the theory of non …

We formulate a simple additivity principle allowing one to calculate the whole distribution of
current fluctuations through a large one dimensional system in contact with two reservoirs at …

We study current fluctuations in lattice gases in the macroscopic limit extending the dynamic
approach for density fluctuations developed in previous articles. More precisely, we …

We present an efficient method to calculate probabilities of large deviations from the typical
behavior (rare events) in reaction-diffusion systems. This method is based on a …