Quantum Dynamics in Classical Spin Baths

TL;DR

This paper introduces a formalism for simulating quantum systems interacting with classical spin baths, revealing geometric phases and enabling non-Markovian dynamics modeling.

Contribution

The paper develops a novel theoretical framework using generalized brackets for quantum-classical spin interactions, including numerical algorithms for simulation.

Findings

Predicts open-path off-diagonal geometric phases in quantum evolution

Provides a non-Markovian simulation approach for quantum systems in spin environments

The formalism is adaptable to various quantum-classical systems

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.