This topical review article gives an overview of the interplay between quantum information
theory and thermodynamics of quantum systems. We focus on several trending topics …

We review selected advances in the theoretical understanding of complex quantum many-
body systems with regard to emergent notions of quantum statistical mechanics. We cover …

The emergence of statistical mechanics for isolated classical systems comes about through
chaotic dynamics and ergodicity. Here we review how similar questions can be answered in …

How do closed quantum many-body systems driven out of equilibrium eventually achieve
equilibration? And how do these systems thermalize, given that they comprise so many …

We propose a general method to embed target states into the middle of the energy spectrum
of a many-body Hamiltonian as its energy eigenstates. Employing this method, we construct …

Explaining quantum many-body dynamics is a long-held goal of physics. A rigorous operator
algebraic theory of dynamics in locally interacting systems in any dimension is provided …

Landauerʼs principle relates entropy decrease and heat dissipation during logically
irreversible processes. Most theoretical justifications of Landauerʼs principle either use …

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 locally interacting quantum many-body systems, the velocity of information propagation is
finitely bounded, and a linear light cone can be defined. Outside the light cone, the amount …

This work is concerned with thermal quantum states of Hamiltonians on spin-and fermionic-
lattice systems with short-range interactions. We provide results leading to a local definition …