Interacting particle systems with many degrees of freedom may undergo phase transitions to
sustain atypical fluctuations of dynamical observables such as the current or the activity. In …

Models of classical Josephson junction chains turn integrable in the limit of large energy
densities or small Josephson energies. Close to these limits the Josephson coupling …

We analyse large deviations of the dynamical activity in one-dimensional systems of
diffusing hard particles. Using an optimal-control representation of the large-deviation …

Large deviation theory provides the framework to study the probability of rare fluctuations of
time-averaged observables, opening new avenues of research in nonequilibrium physics …

The study of dynamical large deviations allows for a characterization of stationary states of
lattice gas models out of equilibrium conditioned on averages of dynamical observables …

Dynamical ensembles have been introduced to study constrained stochastic processes. In
the microcanonical ensemble, the value of a dynamical observable is constrained to a given …

We introduce a general class of stochastic lattice gas models, and derive their fluctuating
hydrodynamics description in the large size limit under a local equilibrium hypothesis. The …

Strong symmetries in open quantum systems lead to broken ergodicity and the emergence
of multiple degenerate steady states. From a quantum jump (trajectory) perspective, the …

Large deviation theory provides a framework to understand macroscopic fluctuations and
collective phenomena in many-body nonequilibrium systems in terms of microscopic …

In this PhD thesis, I investigate the properties of symmetry-breaking dynamical phase
transitions that manifest in the fluctuations of time-integrated observables within classical …