Berry’s phase for compact Lie groups

DOI10.1063/1.1358879zbMath1015.81028arXivquant-ph/0011120OpenAlexW3099142778WikidataQ115334063 ScholiaQ115334063MaRDI QIDQ2774880

Eugene Strahov

Publication date: 26 February 2002

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0011120

zbMATH Keywords

Kähler geometryadiabatic phaseBerry's connectionsBerry's curvaturesLie algebra valued HamiltonianSU(2) and SU(3) evolution groups

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Applications of global differential geometry to the sciences (53C80) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (11)

Geometric phase in fluctuating magnetic field ⋮ Berry phase and interference effects in three-level atoms ⋮ Geometric phase and modulus relations for probability amplitudes as functions on complex parameter spaces ⋮ Geometric phase of time-dependent superconducting qubit ⋮ Berry phases on Virasoro orbits ⋮ Geometric phase of mixed states in the resonance fluorescence spectrum ⋮ Geometric phase of two-qubit system with dissipative effects ⋮ Transition of Berry phase and Pancharatnam phase and phase change ⋮ Geometric population inversion in Rabi oscillation ⋮ Controlling decoherence from fluctuating magnetic field ⋮ Geometric phases of two- and three-level atomic systems related to group theory

Cites Work

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