Evolution of a steady state of the two-dimensional Gross-Pitaevskii equation

被引：0

作者：

S. B. Medvedev

Yu. V. Likhanova

M. P. Fedoruk

P. L. Chapovskii

机构：

[1] Russian Academy of Sciences,Institute of Computational Technologies, Siberian Branch

[2] Novosibirsk State University,Institute of Automation and Electrometry, Siberian Branch

[3] Russian Academy of Sciences,undefined

来源：

JETP Letters | 2015年 / 100卷

关键词：

JETP Letter; Half Period; Pitaevskii Equation; Fractional Exponent; Dimensional Hamiltonian System;

D O I：

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学科分类号：

摘要：

Expansion of a steady state of the Gross-Pitaevskii equation after switching off the external field has been investigated. It has been shown that the evolution of the aspect ratio of the localized solution is described by the one-dimensional oscillator equation with renormalized time. The renormalization is determined by the evolution of the width or the second moment of the solution. It has been found that the aspect ratio is monotonically inverted in infinite time in the case of the linear Schrödinger equation and does not reach the inverse value in the nonlinear case.

引用

页码：829 / 834

页数：5

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