Appearance of Gauge Fields and Forces beyond the adiabatic approximation
Pierre Gosselin (IF), Herve Mohrbach (FCN, LPMC - EA 3468)
TL;DR
This paper explores the emergence of gauge fields and forces in quantum systems beyond the adiabatic approximation, extending geometric concepts to general matrix Hamiltonians and illustrating with relevant examples.
Contribution
It generalizes the concept of geometric gauge fields beyond the adiabatic regime to arbitrary quantum systems with matrix Hamiltonians.
Findings
Extended geometric magnetic and electric forces to non-adiabatic systems
Provided examples demonstrating the applicability of the extended framework
Clarified the origin of gauge fields in quantum systems beyond adiabatic limits
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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