Generalized Euler angles for a unitary control of the Hamiltonian system

• URL: http://arxiv.org/abs/2304.14624v1
• Date: Fri, 28 Apr 2023 04:35:06 GMT
• Title: Generalized Euler angles for a unitary control of the Hamiltonian system
• Authors: Seungjin Lee, Kyunghyun Baek and Jeongho Bang
• Abstract summary: We provide an angular parametrization of the special unitary group $textrmSU(2n)$ by 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.
• Score: 0.06445605125467573
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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