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.
Received: 14 December 2007
Revised: 02 March 2008
Accepted manuscript online:
Fund: Project supported by
the Key Project of Hunan Provincial Educational
Department of China (Grant No 04A058).
Cite this article:
Liu Yang(刘洋) and Tang Yi(唐翌) Bright and dark small amplitude nonlinear localized modes in a quantum one-dimensional Klein--Gordon chain 2008 Chin. Phys. B 17 3841
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