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
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
