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Journal of Northeast Normal University

Shift operators of the spin system in the magnetic field

Xue Kang

Published Jan 1, 2001• 0 citations
OpenAlex

Abstract

According to the spin-1/2 realization of Y(SL(2)) algebra,this paper can give the new shift operators among the states of Berry topological phase ,and also give the new ones among the states of nuclear magnetic resonance when the two spin interactive system is put into an extra magnetic field.These new shift operators have already beyond the material of Lie algebra,and they give new shift relations between two quantum states at any time.

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Europhysics Letters (EPL)•Jan 1, 2016•3 citations
According to the spin-1/2 realization of Y(SL(2)) algebra,this paper can give the new shift operators among the states of Berry topological phase ,and also give the new ones among the states of nuclear magnetic resonance when the two spin interactive system is put into an extra magnetic field.These new shift operators have already beyond the material of Lie algebra,and they give new shift relations between two quantum states at any time.
Yangian Y(sl(2))Y(sl(2))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))Y(sl(2))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.