GEOMETRY OF MIXED STATES AND DEGENERACY STRUCTURE OF GEOMETRIC PHASES FOR MULTI-LEVEL QUANTUM SYSTEMS: A UNITARY GROUP APPROACH

DOI10.1142/S0217751X01005870zbMath1026.81019arXivquant-ph/0105007MaRDI QIDQ2783569

Narasimhaiengar Mukunda, Elisa Ercolessi, Giuseppe Marmo, Giuseppe Morandi

Publication date: 17 December 2003

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0105007

zbMATH Keywords

density matricescoadjoint orbitssymplectic structurethree-level systemsBerry phasesunitary group orbits

Mathematics Subject Classification ID

Quantum computation (81P68) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Momentum maps; symplectic reduction (53D20) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

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Cites Work

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• Quantal phase factors accompanying adiabatic changes
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