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A realization of Yangian and its applications to the bi-spin system

Shuo Jin·Kang Xue·Bing-Hao Xie
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Abstract

Yangian $Y(sl(2))$ is realized in the bi-spin system coupled with a time-dependent external magnetic field. It is shown that $Y(sl(2))$ generators can describe the transitions between the ``spin triplet'' and the ``spin singlet'' that evolve with time. Furthermore, new transition operators between the states with Berry phase factor and those between the states of Nuclear Magnetic Resonance (NMR) are presented.

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Shuo Jin, Kang Xue, Bing-Hao Xie. 2003-05-23. A realization of Yangian and its applications to the bi-spin system. https://arxiv.org/abs/cond-mat/0305550

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