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SCIENTIFIC SUMMARIES

Strong correlations in a model of a gauged $(2+1)$-dimensional nonlinear Schrödinger equation

A. P. Protogenov

Institute of Applied Physics, Russian Academy of Sciences, Nizhnii Novgorod

Abstract: Phenomena caused by strong correlations between nonlinear modes in planar systems are briefly reviewed. The analysis is restricted to the model of a nonlinear Schrödinger equation. Stationary field distributions are found. The number of particles is obtained as a function of a parameter characterizing the degree of linking of the world lines of excitations. It is shown that, for small values of this parameter, a two-dimensional lattice is characterized by universal attraction, which can be a dynamical cause for the transition to the coherent state. The relation between the chiral nonlinear edge modes and breaking of the Galilei invariance in the system under consideration is discussed.

PACS: 05.30.Pr, 11.10.Lm, 71.10.Pm

Received: 03.01.2001

 English version: Journal of Experimental and Theoretical Physics Letters, 2001, 73:5, 255–261

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