REDUCED DYNAMICS FROM THE UNITARY GROUP TO SOME FLAG MANIFOLDS: INTERACTING MATRIX RICCATI EQUATIONS

DOI10.1142/S0219887809003680zbMath1178.81138arXiv0809.0165MaRDI QIDQ3397545

Hiroshi Ôike, Kazuyuki Fujii

Publication date: 22 September 2009

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

Full work available at URL: https://arxiv.org/abs/0809.0165

zbMATH Keywords

flag manifoldsreduced dynamicsmatrix Riccati equations\(N\) level system

Mathematics Subject Classification ID

Quantum computation (81P68) Nonlinear ordinary differential equations and systems (34A34) Grassmannians, Schubert varieties, flag manifolds (14M15) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items (4)

RICCATI DIAGONALIZATION OF HERMITIAN MATRICES ⋮ CANONICAL FORM OF THE EVOLUTION OPERATOR OF A TIME-DEPENDENT HAMILTONIAN IN THE THREE LEVEL SYSTEM ⋮ $\frac{{\rm SO}(2N)}{U(N)}$ Riccati–Hartree–Bogoliubov equation based on the SO(2N) Lie algebra of the fermion operators ⋮ A GEOMETRIC PARAMETRIZATION OF THE CABIBBO–KOBAYASHI–MASKAWA MATRIX AND THE JARLSKOG INVARIANT

Cites Work

• A nonlinear superposition rule for solutions of the Milne-Pinney equation
• Introduction to Grassmann manifolds and quantum computation
• Riccati differential equations
• The Duistermaat–Heckman integration formula on flag manifolds
• Coherent states over Grassmann manifolds and the WKB exactness in path integral

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