Starting at the mesoscopic level with a general formulation of stochastic thermodynamics in
terms of Markov jump processes, the scaling conditions that ensure the emergence of a …

Thermodynamics serves as a universal means for studying physical systems from an energy
perspective. In recent years, with the establishment of the field of stochastic and quantum …

We review various bounds concerning out-of-equilibrium dynamics in few-level and many-
body quantum systems. We primarily focus on closed quantum systems but will also mention …

The presence of noise or the interaction with an environment can radically change the
dynamics of observables of an otherwise isolated quantum system. We derive a bound on …

The thermodynamic and kinetic uncertainty relations indicate trade-offs between the relative
fluctuation of observables and thermodynamic quantities such as dissipation and dynamical …

Any physical system evolves at a finite speed that is constrained not only by the energetic
cost but also by the topological structure of the underlying dynamics. In this Letter, by …

The Landauer principle states that any logically irreversible information processing must be
accompanied by dissipation into the environment. In this Letter, we investigate the heat …

We study a relationship between optimal transport theory and stochastic thermodynamics for
the Fokker-Planck equation. We show that the lower bound on the entropy production is the …

We derive a variational expression for the correlation time of physical observables in steady-
state diffusive systems. As a consequence of this variational expression, we obtain lower …

Understanding current fluctuations is of fundamental importance and paves the way for the
development of practical applications. According to the thermodynamic and kinetic …