Non-adiabatic Berry phase for periodic Hamiltonians

DOI10.1088/0305-4470/23/11/027zbMath0712.46043OpenAlexW2066422838MaRDI QIDQ3196849

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Publication date: 1990

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

Full work available at URL: https://semanticscholar.org/paper/96650244ce2f68e595ea9d14dc1a6d1f40f75815

zbMATH Keywords

Berry's phaseeigenstates of the Floquet operator for a periodic Hamiltonianholonomy phaseperiodic orbits in projective Hilbert space

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General mathematical topics and methods in quantum theory (81Q99) Applications of functional analysis in quantum physics (46N50) Fiber bundles in algebraic topology (55R10)

Related Items (8)

Geometric phases and Mielnik's evolution loops ⋮ Linear structure, evolutions and phases ⋮ Pseudo \(\mathcal{PT}\)-symmetry in time periodic non-Hermitian Hamiltonians systems ⋮ Schrödinger–Koopman quasienergy states of quantum systems driven by classical flow ⋮ Switching of geometric phase in degenerate systems ⋮ The stochastic pump current and the non-adiabatic geometrical phase ⋮ Noise effects on the Wilczek–Zee geometric phase ⋮ Effective Hamiltonians for almost-periodically driven quantum systems*

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