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

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

2003-05-23

arxiv.org/abs/cond-mat/0305550v1

Commun. Theor. Phys. 39(2003), 1-5

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages, no figure

Scientific paper

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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