中国物理B ›› 2006, Vol. 15 ›› Issue (5): 912-914.doi: 10.1088/1009-1963/15/5/006

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Berry phase of coupled two arbitrary spins in a time-varying magnetic field

贺明明1, 陈刚1, 许长谭2   

  1. (1)Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China; (2)Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China;Institute of Condensed Matter Physics, Linyi Normal University,Linyi 276005, China;Department of Physics, Qufu Normal University, Qufu 273165, China
  • 收稿日期:2005-10-23 修回日期:2006-03-20 出版日期:2006-05-20 发布日期:2006-05-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10475053).

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   

  1. 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
  • Received:2005-10-23 Revised:2006-03-20 Online:2006-05-20 Published:2006-05-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10475053).

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摘要： 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.

关键词: Berry phase, time-dependent gauge transformation, coupled two arbitrary spins

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.

Key words: Berry phase, time-dependent gauge transformation, coupled two arbitrary spins

中图分类号:  (Foundations of quantum mechanics; measurement theory)

  • 03.65.Ta
03.65.Ge (Solutions of wave equations: bound states) 75.10.-b (General theory and models of magnetic ordering)