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arXiv · 2304.14624

Generalized Euler angles for a unitary control of the Hamiltonian system

Seungjin Lee·Kyunghyun Baek·Jeongho Bang
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Abstract

We provide an angular parametrization of the special unitary group $\textrm{SU}(2^{n})$ generalizing Euler angles for $\textrm{SU}(2)$ by successively applying the KAK decomposition. We then determine constraint equations for the parametric curve of generalized Euler angles corresponding to the exponential curve of a given Hamiltonian. The constraint equations are in the form of first-order differential-algebraic equations and resemble Wei-Norman equations of canonical coordinates of the second kind for $\textrm{SU}(2^{n})$.

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Seungjin Lee, Kyunghyun Baek, Jeongho Bang. 2023-04-28. Generalized Euler angles for a unitary control of the Hamiltonian system. https://arxiv.org/abs/2304.14624

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