On quantization of weakly nonlinear lattices. Envelope solitons

Details On quantization of weakly nonlinear lattices. Envelope solitons On quantization of weakly nonlinear lattices. Envelope solitons

2001-03-23

arxiv.org/abs/cond-mat/0103497v1

Physics

Condensed Matter

Statistical Mechanics

5 pages. Phys. Rev. E (to appear)

Scientific paper

10.1103/PhysRevE.63.066606

A way of quantizing weakly nonlinear lattices is proposed. It is based on introducing "pseudo-field" operators. In the new formalism quantum envelope solitons together with phonons are regarded as elementary quasi-particles making up boson gas. In the classical limit the excitations corresponding to frequencies above linear cut-off frequency are reduced to conventional envelope solitons. The approach allows one to identify the quantum soliton which is localized in space and understand existence of a narrow soliton frequency band.

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