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On quantization of weakly nonlinear lattices. Envelope solitons

V. V. Konotop·S. Takeno
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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.

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BibTeXRIS

V. V. Konotop, S. Takeno. 2001-03-23. On quantization of weakly nonlinear lattices. Envelope solitons. https://doi.org/10.1103/physreve.63.066606

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