A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …

This review gives a pedagogical introduction to the eigenstate thermalization hypothesis
(ETH), its basis, and its implications to statistical mechanics and thermodynamics. In the first …

Shortcuts to adiabaticity (STA) are fast routes to the final results of slow, adiabatic changes
of the controlling parameters of a system. The shortcuts are designed by a set of analytical …

Stochastic thermodynamics as reviewed here systematically provides a framework for
extending the notions of classical thermodynamics such as work, heat and entropy …

Entropy production is a key quantity in any finite-time thermodynamic process. It is intimately
tied with the fundamental laws of thermodynamics, embodying a tool to extend …

Quantum thermodynamics is an emerging research field aiming to extend standard
thermodynamics and non-equilibrium statistical physics to ensembles of sizes well below …

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 …

The Hall effects comprise one of the oldest but most vital fields in condensed matter physics,
and they persistently inspire new findings, such as quantum Hall effects and topological …

Quantum theory provides an extensive framework for the description of the equilibrium
properties of quantum matter. Yet experiments in quantum simulators have now opened up …

The form of energy termed heat that typically derives from lattice vibrations, ie, phonons, is
usually considered as waste energy and, moreover, deleterious to information processing …