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 …

Weakly interacting quasiparticles play a central role in the low-energy description of many
phases of quantum matter. At higher energies, however, quasiparticles cease to be well …

The challenge posed by the many-body problem in quantum physics originates from the
difficulty of describing the nontrivial correlations encoded in the exponential complexity of …

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 …

A quantum simulator is a type of quantum computer that controls the interactions between
quantum bits (or qubits) in a way that can be mapped to certain quantum many-body …

The manipulation of neutral atoms by light is at the heart of countless scientific discoveries in
the field of quantum physics in the last three decades. The level of control that has been …

Statistical mechanics relies on the maximization of entropy in a system at thermal
equilibrium. However, an isolated quantum many-body system initialized in a pure state …

Quantum simulators are a promising technology on the spectrum of quantum devices from
specialized quantum experiments to universal quantum computers. These quantum devices …

Recent years have seen remarkable development in open quantum systems effectively
described by non-Hermitian Hamiltonians. A unique feature of non-Hermitian topological …

Within the last two decades, quantum technologies (QT) have made tremendous progress,
moving from Nobel Prize award-winning experiments on quantum physics (1997: Chu …