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 …

Quantum information processing relies on the precise control of non-classical states in the
presence of many uncontrolled environmental degrees of freedom. The interactions …

Trapped neutral atoms have become a prominent platform for quantum science, where
entanglement fidelity records have been set using highly excited Rydberg states. However …

Cooling atoms to ultralow temperatures has produced a wealth of opportunities in
fundamental physics, precision metrology, and quantum science. The more recent …

Open physical systems with balanced loss and gain, described by non-Hermitian parity-time
PT reflection symmetric Hamiltonians, exhibit a transition which could engender modes that …

The study of open quantum systems–microscopic systems exhibiting quantum coherence
that are coupled to their environment–has become increasingly important in the past years …

Motivated by recent experimental advances in ultracold atoms, we analyze a non-Hermitian
(NH) BCS Hamiltonian with a complex-valued interaction arising from inelastic scattering …

Compared to atoms, molecules possess additional degrees of freedom that can be exploited
in fundamental tests, ultracold chemistry, and engineering new quantum phases in many …

Ultracold molecules confined in optical lattices or tweezer traps can be used to process
quantum information and simulate the behaviour of many-body quantum systems. Molecules …

We demonstrate high-fidelity repetitive measurements of nuclear spin qubits in an array of
neutral ytterbium-171 (171 Yb) atoms. We show that the qubit state can be measured with a …