Berry phases for the nonlocal Gross-Pitaevskii equation with a quadratic potential

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Abstract

A countable set of asymptotic space-localized solutions is constructed by the complex germ method in the adiabatic approximation for the nonstationary Gross-Pitaevskii equation with nonlocal nonlinearity and a quadratic potential. The asymptotic parameter is 1/T, where T ≫ 1 is the adiabatic evolution time. A generalization of the Berry phase of the linear Schrödinger equation is formulated for the Gross-Pitaevskii equation. For the solutions constructed, the Berry phases are found in explicit form.

Original languageEnglish
Pages (from-to)1191-1206
Number of pages16
JournalJournal of Physics A: Mathematical and General
Volume39
Issue number5
DOIs
Publication statusPublished - 3 Feb 2006

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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