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Controllability of Quantum Systems with SU (1, 1) Dynamical Symmetry

WU Jianwu  WU Rebing  ZHANG Jing  LI Chunwen  
【摘要】:This paper presents sufficient and necessary conditions for the propagator controllability of a class of infinite-dimensional quantum systems with SU(1, 1) dynamical symmetry through the isomorphic mapping to the non-unitary representation of SU(1, 1). The authors prove that the elliptic condition of the total Hamiltonian is both necessary and sufficient for the controllability and strong controllability. The obtained results can be also extended to control systems with SO(2, 1) dynamical symmetry.

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