Principal bundle structure of quantum adiabatic dynamics with a Berry phase which does not commute with the dynamical phase
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Publication:3438497
DOI10.1063/1.1940547zbMath1110.81090OpenAlexW2020175698MaRDI QIDQ3438497
Publication date: 16 May 2007
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/fa34223fffb1bddde8f059323400f0a4d1a688b3
Quantum optics (81V80) Issues of holonomy in differential geometry (53C29) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)
Related Items (6)
Magnetic monopoles in quantum adiabatic dynamics and the immersion property of the control manifold ⋮ Non-abelian higher gauge theory and categorical bundle ⋮ Geometry of quantum active subspaces and of effective Hamiltonians ⋮ The need for a flat higher gauge structure to describe a Berry phase associated with some resonance phenomena ⋮ Holonomy of a principal composite bundle connection, non-Abelian geometric phases, and gauge theory of gravity ⋮ Geometric phases in quantum control disturbed by classical stochastic processes
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- On the adiabatic theorem of quantum mechanics
- The relation between the Berry and the Anandan–Aharonov connections for U(𝒩) bundles
- Noncyclic geometric phase and its non-Abelian generalization
- Existence of Universal Connections
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