In ergodic physical systems, time-averaged quantities converge (for large times) to their
ensemble-averaged values. Large deviation theory describes rare events where these time …

We analyze dynamical large deviations of quantum trajectories in Markovian open quantum
systems in their full generality. We derive a quantum level-2.5 large deviation principle for …

Small nonequilibrium systems in contact with a heat bath can be analyzed with the
framework of stochastic thermodynamics. In such systems, fluctuations, which are not …

The thermodynamic uncertainty relation expresses a universal trade-off between precision
and entropy production, which applies in its original formulation to current observables in …

The state of an open quantum system undergoing an adiabatic process evolves by following
the instantaneous stationary state of its time-dependent generator. This observation allows …

We consider quantum stochastic processes and discuss a level 2.5 large deviation
formalism providing an explicit and complete characterisation of fluctuations of time …

The thermodynamic uncertainty relation is a universal trade-off relation connecting the
precision of a current with the average dissipation at large times. For continuous time …

We study the statistical properties of the long-time dynamics of the rule 54 reversible cellular
automaton (CA), driven stochastically at its boundaries. This CA can be considered as a …

We study the fluctuations of systems modeled by time periodically driven Markov jump
processes. We focus on observables defined through time-periodic functions of the system's …

Discontinuous phase transitions out of equilibrium can be characterized by the behavior of
macroscopic stochastic currents. But while much is known about the average current, the …