In this paper, we study the condition of producing the A-A phase in the nuclear magnetic resonance (NMR) system, and work out the A-A phase. In the case of adiabatic-limit, the Berry geometric phase is obtained from the A-A phase.

Journal of Zhanjiang Normal CollegeJan 1, 20010 citations

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

Shuo Jin, Kang Xue, Bing-Hao Xie

arXiv:cond-mat/0305550May 23, 20030 citations

The Japan Society of Applied Physics

Berry phase in spinning nuclear magnetic resonance

Kazuya Harii

Published Aug 7, 2014• 0 citations

OpenAlex

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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.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.

arXiv:cond-mat/0305550May 23, 20030 citations

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.