中国物理B ›› 2008, Vol. 17 ›› Issue (10): 3841-3846.doi: 10.1088/1674-1056/17/10/050

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Bright and dark small amplitude nonlinear localized modes in a quantum one-dimensional Klein--Gordon chain

刘 洋, 唐 翌   

  1. Department of Physics, Xiangtan University, Xiangtan { rm 411105, China
  • 收稿日期:2007-12-14 修回日期:2008-03-02 出版日期:2008-10-20 发布日期:2008-10-20
  • 基金资助:
    Project supported by the Key Project of Hunan Provincial Educational Department of China (Grant No 04A058).

Bright and dark small amplitude nonlinear localized modes in a quantum one-dimensional Klein--Gordon chain

Liu Yang(刘洋) and Tang Yi(唐翌)†   

  1. Department of Physics, Xiangtan University, Xiangtan 411105, China
  • Received:2007-12-14 Revised:2008-03-02 Online:2008-10-20 Published:2008-10-20
  • Supported by:
    Project supported by the Key Project of Hunan Provincial Educational Department of China (Grant No 04A058).

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摘要： By means of the Glauber's coherent state method combined with multiple-scale method, this paper investigates the localized modes in a quantum one-dimensional Klein--Gordon chain and finds that the equation of motion of annihilation operator is reduced to the nonlinear Schr\"{o}dinger equation. Interestingly, the model can support both bright and dark small amplitude travelling and non-travelling nonlinear localized modes in different parameter spaces.

关键词: nonlinear localized modes, coherent state, Klein--Gordon chain

Abstract: By means of the Glauber's coherent state method combined with multiple-scale method, this paper investigates the localized modes in a quantum one-dimensional Klein--Gordon chain and finds that the equation of motion of annihilation operator is reduced to the nonlinear Schrödinger equation. Interestingly, the model can support both bright and dark small amplitude travelling and non-travelling nonlinear localized modes in different parameter spaces.

Key words: nonlinear localized modes, coherent state, Klein--Gordon chain

中图分类号:  (Solutions of wave equations: bound states)

  • 03.65.Ge
63.20.Pw (Localized modes) 63.20.Ry (Anharmonic lattice modes)