On quantization of weakly nonlinear lattices. Envelope solitons
arXiv:cond-mat/0103497 · doi:10.1103/PhysRevE.63.066606
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.
5 pages. Phys. Rev. E (to appear)