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Two and three coupled spins in magnetic field

Dmitry Gitman, Mario Cesar Baldiotti, Marcelo Meireles Santos
2014 Proceedings of Third International Satellite Conference on Mathematical Methods in Physics — PoS(ICMP 2013)   unpublished

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We consider three spin systems in the parallel magnetic fields and present some of possible exact solutions. In addition, we discuss an analogue of the Rabi problem for three-spin system. In order to do this, we reduce the problem of three coupled spins, an 8-level system, to a problem of a 3-level system in an effective field. We explicitly construct the evolution operator of the system in two special cases: when the fields and interaction are the same in all the spins but with a arbitrary
more » ... -dependence of the fields, and when the spins are subjected to a circular magnetic field (the Rabi problem). Some applications of these results are discussed.
doi:10.22323/1.200.0009 fatcat:rbdlbirslzavnkqu4aabrmiy2q
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Dmitry Gitman, Mario Cesar Baldiotti, Marcelo Meireles Santos. "Two and three coupled spins in magnetic field." Proceedings of Third International Satellite Conference on Mathematical Methods in Physics — PoS(ICMP 2013) (2014)