Controllability of quantum mechanical systems by root space decomposition of su(N)

2001/10/25 by Claudio Altafini · 3 citations
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Controllability #Degenerate energy levels #Lie group #Nonlinear Waves and Solitons #Propagator #Property (philosophy) #Quantum #Quantum chaos and dynamical systems #Quantum field theory #Quantum system #Unitary state #quant-ph

paper · pdf · doi:10.1063/1.1467611

published as J. Math. Phys, 43(5):2051-2062, 2002 · 11 pages, revtex4

arxiv created 2001/10/25 · openalex publication_date 2002/05/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The controllability property of the unitary propagator of an N-level quantum mechanical system subject to a single control field is described using the structure theory of semisimple Lie algebras. Sufficient conditions are provided for the vector fields in a generic configuration as well as in a few degenerate cases.

Citations

• Complete controllability of finite-level quantum systems

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