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 …

We use the quantum–classical path integral (QCPI) methodology to report numerically exact,
fully quantum mechanical results for the exciton-vibration dynamics in the …

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

We present an extensive introduction to quantum collision models (CMs), also known as
repeated interactions schemes: a class of microscopic system–bath models for investigating …

Quantum Fisher information matrix (QFIM) is a core concept in theoretical quantum
metrology due to the significant importance of quantum Cramér–Rao bound in quantum …

Studies of the dynamics of open quantum systems are limited by the large Hilbert space of
typical environments, which is too large to be treated exactly. In some cases, approximate …

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 …

We analyze the quantum trajectory dynamics of free fermions subject to continuous
monitoring. For weak monitoring, we identify a novel dynamical regime of subextensive …

Quantum dynamical maps provide suitable mathematical representation of quantum
evolutions. When representing quantum states by density operators, the evident …