| Issue |
EPL
Volume 113, Number 2, January 2016
|
|
|---|---|---|
| Article Number | 20002 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/113/20002 | |
| Published online | 16 February 2016 | |
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
(a) dugj583@163.com
(b) xuekang@nenu.edu.cn (corresponding author)
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
© EPLA, 2016
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