paper

Classical-Quantum Hybrid Models

arXiv:2309.05014

Abstract

Hybrid classical-quantum models are computational schemes that investigate the time evolution of systems, where some degrees of freedom are treated classically, while others are described quantum-mechanically. First, we present the motivation for such models, outline the requirements they must satisfy, and provide explanations for their development. Then we review various popular non-relativistic schemes and their associated limitations, with a particular emphasis on reversible dynamics.

A contribution to the Encyclopedia of Mathematical Physics (Elsevier, 2nd edition). An expanded version, with additional/ updated references and corrected typos

Classical-Quantum Hybrid Models · wovepaper