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 …

The seminal work by Sadi Carnot in the early nineteenth century provided the blueprint of a
reversible heat engine and the celebrated second law of thermodynamics eventually …

We propose a method for the fast generation of nonclassical ground states of the Rabi
model in the ultrastrong and deep-strong coupling regimes via the shortcuts-to-adiabatic …

The second law of thermodynamics dictates that heat simultaneously flows from the hot to
cold bath on average. To go beyond this picture, a range of works in the past decade show …

Shortcuts to isothermality are driving strategies to steer the system to its equilibrium states
within finite time, and enable evaluating the impact of a control promptly. Finding the optimal …

Disorder in condensed matter and atomic physics is responsible for a great variety of
fascinating quantum phenomena, which are still challenging for understanding, not to …

We study nonadiabatic effects of geometric pum**. With arbitrary choices of periodic
control parameters, we go beyond the adiabatic approximation to obtain the exact pum** …

Thermodynamics strongly restricts the direction of heat flow in static macroscopic thermal
diffusive systems. To overcome this constraint, spatiotemporal modulated systems are used …

Shortcuts to adiabaticity are alternative fast processes which reproduce the same final state
as the adiabatic process in a finite or even shorter time, which have been extended from …

We look into the minimization of the connection time between nonequilibrium steady states.
As a prototypical example of an intrinsically nonequilibrium system, a driven granular gas is …