Berry phase of coupled two arbitrary spins in a time-varying magnetic field
Xu Chang-Tan (许长谭)abc, He Ming-Ming (贺明明)a, Chen Gang (陈刚)a
a Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China; b Institute of Condensed Matter Physics, Linyi Normal University, Linyi 276005, Chinab Department of Physics, Qufu Normal University, Qufu 273165, China
Abstract In this paper, we investigate the Berry phase of two coupled arbitrary spins driven by a time-varying magnetic field where the Hamiltonian is explicitly time-dependent. Using a technique of time-dependent gauge transform the Berry phase and time-evolution operator are found explicitly in the adiabatic approximation. The general solutions for arbitrary spins are applied to the spin-1/2 system as an example of explanation.
Received: 23 October 2005
Revised: 20 March 2006
Accepted manuscript online:
PACS:
03.65.Ta
(Foundations of quantum mechanics; measurement theory)
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10475053).
Cite this article:
Xu Chang-Tan (许长谭), He Ming-Ming (贺明明), Chen Gang (陈刚) Berry phase of coupled two arbitrary spins in a time-varying magnetic field 2006 Chinese Physics 15 912
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