On quantization of weakly nonlinear lattices. Envelope solitons
Statistical Mechanics
2009-11-07 v1 Disordered Systems and Neural Networks
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0103497,
title = {On quantization of weakly nonlinear lattices. Envelope solitons},
author = {V. V. Konotop and S. Takeno},
journal= {arXiv preprint arXiv:cond-mat/0103497},
year = {2009}
}
Comments
5 pages. Phys. Rev. E (to appear)