Appearance of Gauge Fields and Forces beyond the adiabatic approximation
Pierre Gosselin (IF), Herv\'e Mohrbach (FCN, BioPhysStat)
TL;DR
This paper explores the origins of quantum geometric phases, gauge fields, and forces beyond the adiabatic approximation, extending known concepts to general quantum systems with matrix Hamiltonians and illustrating with relevant examples.
Contribution
It generalizes the concepts of geometric magnetic and electric forces beyond the adiabatic regime for arbitrary quantum systems with matrix Hamiltonians.
Findings
Extended geometric magnetic and electric forces to non-adiabatic systems
Provided physical examples illustrating the extended concepts
Clarified the origin of gauge fields beyond the adiabatic approximation
Abstract
We investigate the origin of quantum geometric phases, gauge fields and forces beyond the adiabatic regime. In particular, we extend the notions of geometric magnetic and electric forces discovered in studies of the Born-Oppenheimer approximation to arbitrary quantum systems described by matrix valued quantum Hamiltonians. The results are illustrated by several physical relevant examples.
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