Quantum Dynamics in Classical Spin Baths

Abstract

A formalism for studying the dynamics of quantum systems embedded in classical spin baths is introduced. The theory is based on generalized antisymmetric brackets and predicts the presence of open-path off-diagonal geometric phases in the evolution of the density matrix. The weak coupling limit of the equation can be integrated by standard algorithms and provides a non-Markovian approach to the computer simulation of quantum systems in classical spin environments. It is expected that the theory and numerical schemes presented here have a wide applicability.

Accepted as a Communication in The Journal of Chemical Physics

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Cited by in corpus (4)

• Quasi-Lie Brackets and the Breaking of Time-Translation Symmetry for Quantum Systems Embedded in Classical Baths
• A Demonstration of Consistency between the Quantum Classical Liouville Equation and Berry's Phase and Curvature
• Computer Simulation of Quantum Dynamics in a Classical Spin Environment
• Time-Irreversible Quantum-Classical Dynamics of Molecular Models in the Brain