Non-Abelian geometric phase, Floquet theory and periodic dynamical invariants

DOI10.1088/0305-4470/31/49/015zbMath0936.37023arXivquant-ph/9810064OpenAlexW3100244167MaRDI QIDQ4259873

Ali Mostafazadeh

Publication date: 22 May 2000

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

Full work available at URL: https://arxiv.org/abs/quant-ph/9810064

zbMATH Keywords

HamiltonianeigenvectorsHermitian operatorquantum systemadiabatic geometric phaseFloquet decompositiondynamical invariant

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (2)

Geometry of quantum active subspaces and of effective Hamiltonians ⋮ Dynamical invariants and nonadiabatic geometric phases in open quantum systems

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