The Berry phase of spin-j particle in q-deformed magnetic field and Wigner D-function
1 Department of Physics, Northeast Normal University - Changchun, Jilin 130024, PRC
2 School of Science, Changchun University of Science and Technology - Changchun 130022, PRC
Received: 7 December 2015
Accepted: 28 January 2016
We investigate the Berry phase for quantum spin system in q-deformed magnetic field. Through the q-deformed Lie algebra, we found a set of magnetic field expressions which contain the parameter q. The Berry phase of the system could be adjusted by the parameter q. The corresponding general formula of the q-deformed Berry phase is presented for an arbitrary spin system. The same Hamiltonian can also be generated from the Wigner D-function which satisfies the Yang-Baxter equation.
PACS: 03.65.Vf – Phases: geometric; dynamic or topological / 02.20.Sv – Lie algebras of Lie groups / 75.10.Jm – Quantized spin models, including quantum spin frustration
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