A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …

Many experimentally relevant quantum spin chains are approximately integrable, and
support long-lived quasiparticle excitations. A canonical example of integrable model of …

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 …

We provide here a brief perspective on the glass transition field. It is an assessment, written
from the point of view of theory, of where the field is and where it seems to be heading. We …

Lee-Yang zeros are points on the complex plane of physical parameters where the partition
function of a system vanishes and hence the free energy diverges. Lee-Yang zeros are …

Recent large deviation results have provided general lower bounds for the fluctuations of
time-integrated currents in the steady state of stochastic systems. A corollary are so-called …

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

We analytically compute the full counting statistics of charge transfer in a classical
automaton of interacting charged particles. Deriving a closed-form expression for the …

Statistical physics provides the concepts and methods to explain the phase behavior of
interacting many-body systems. Investigations of Lee-Yang zeros—complex singularities of …

We study the probability distribution of a current flowing through a diffusive system
connected to a pair of reservoirs at its two ends. Sufficient conditions for the occurrence of a …