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 …

Recent decades have witnessed great developments in the field of quantum simulation—
where synthetic systems are built and studied to gain insight into complicated, many-body …

Controllable, coherent many-body systems can provide insights into the fundamental
properties of quantum matter, enable the realization of new quantum phases and could …

Since the achievement of quantum degeneracy in gases of chromium atoms in 2004, the
experimental investigation of ultracold gases made of highly magnetic atoms has …

The thermodynamic description of many-particle systems rests on the assumption of
ergodicity, the ability of a system to explore all allowed configurations in the phase space …

In this review recent investigations are summarized of many-body quantum systems with
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …

Arrays of optically trapped atoms excited to Rydberg states have recently emerged as a
competitive physical platform for quantum simulation and computing, where high-fidelity …

We present a review of quantum computation with neutral atom qubits. After an overview of
architectural options and approaches to preparing large qubit arrays we examine Rydberg …

Spin models are the prime example of simplified many-body Hamiltonians used to model
complex, strongly correlated real-world materials. However, despite the simplified character …

Quantum simulation, a subdiscipline of quantum computation, can provide valuable insight
into difficult quantum problems in physics or chemistry. Ultracold atoms in optical lattices …