The need for a flat higher gauge structure to describe a Berry phase associated with some resonance phenomena

DOI10.1063/1.3119004zbMath1187.81146OpenAlexW1981464805MaRDI QIDQ3565249

David Viennot

Publication date: 3 June 2010

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3119004

zbMATH Keywords

geometryBerry phase

Mathematics Subject Classification ID

Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Differential geometric aspects of gerbes and differential characters (53C08)

Related Items (1)

Non-abelian higher gauge theory and categorical bundle

Cites Work

• Unnamed Item
• Topological quantization and cohomology
• A new class of adiabatic cyclic states and geometric phases for non-Hermitian Hamiltonians
• Classical and quantum mechanics with time-dependent parameters
• Principal bundle structure of quantum adiabatic dynamics with a Berry phase which does not commute with the dynamical phase
• Magnetic monopoles in quantum adiabatic dynamics and the immersion property of the control manifold
• Geometry of quantum active subspaces and of effective Hamiltonians
• Quantal phase factors accompanying adiabatic changes
• Berry phase of a resonant state
• The Bloch wave operator: generalizations and applications: Part I. The time-independent case
• Bundle Gerbes
• Geometric phase for non-Hermitian Hamiltonians and its holonomy interpretation

This page was built for publication: The need for a flat higher gauge structure to describe a Berry phase associated with some resonance phenomena