The dynamical convergence of a system to the thermal distribution, or Gibbs state, is a
standard assumption across all of the physical sciences. The Gibbs state is determined just …

Deriving the laws of thermodynamics from a microscopic picture is a central quest of
statistical mechanics. This tutorial focuses on the derivation of the first and second law for …

In nanoscale systems coupled to finite-size reservoirs, the reservoir temperature may
fluctuate due to heat exchange between the system and the reservoirs. To date, a stochastic …

Describing the thermodynamic properties of quantum systems far from equilibrium is
challenging, in particular when the system is strongly coupled to its environment, or when …

Observational entropy provides a general notion of quantum entropy that appropriately
interpolates between Boltzmann's and Gibbs' entropies, and has recently been argued to …

In the past several years, observational entropy has been developed as both a (time-
dependent) quantum generalization of Boltzmann entropy, and as a rather general …

When describing the effective dynamics of an observable in a many-body system, the
repeated randomness assumption, which states that the system returns in a short time to a …

We study entropy production in nanoscale devices, which are coupled to finite heat baths.
This situation is of growing experimental relevance, but most theoretical approaches rely on …

Temperature is a deceptively simple concept that still raises deep questions at the forefront
of quantum physics research. The observation of thermalization in completely isolated …

Based on exact integration of the Schrödinger equation, we numerically study microscopic
contributions to the entropy production for the single electron transistor, a paradigmatic …