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 …

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 …

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 …

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 …

Thermodynamics originated in the need to understand novel technologies developed by the
Industrial Revolution. However, over the centuries, the description of engines, refrigerators …

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 …

Quantum technologies are currently the object of high expectations from governments and
private companies, as they hold the promise to shape safer and faster ways to extract …

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 …

Recent years have seen tremendous progress in the theoretical understanding of quantum
systems driven dissipatively by coupling to different baths at their edges. This was possible …

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 …