Journal
JOURNAL OF PHYSICS-CONDENSED MATTER
Volume 27, Issue 7, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/0953-8984/27/7/073201
Keywords
quantum dynamics; quantum-classical dynamics; open quantum systems; nonadiabatic dynamics; surface hopping
Categories
Funding
- Natural Sciences and Engineering Council of Canada
- Canada Foundation for Innovation under the auspices of Compute Canada
- Government of Ontario
- Ontario Research Fund-Research Excellence
- University of Toronto
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Often quantum systems are not isolated and interactions with their environments must be taken into account. In such open quantum systems these environmental interactions can lead to decoherence and dissipation, which have a marked influence on the properties of the quantum system. In many instances the environment is well-approximated by classical mechanics, so that one is led to consider the dynamics of open quantum-classical systems. Since a full quantum dynamical description of large many-body systems is not currently feasible, mixed quantum-classical methods can provide accurate and computationally tractable ways to follow the dynamics of both the system and its environment. This review focuses on quantum-classical Liouville dynamics, one of several quantum-classical descriptions, and discusses the problems that arise when one attempts to combine quantum and classical mechanics, coherence and decoherence in quantum-classical systems, nonadiabatic dynamics, surface-hopping and mean-field theories and their relation to quantum-classical Liouville dynamics, as well as methods for simulating the dynamics.
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