Localization and damping of macroscopic oscillation in coupled Gross-Pitaevskii equations without self-interaction

Hidetsugu Sakaguchi, Fumihide Hirano

Research output: Contribution to journalArticlepeer-review

Abstract

In Bose-Einstein condensates, quantum phenomena appear in a macroscopic scale. The Gross-Pitaevskii (GP) equation describes the dynamics of weakly interacting Bose-Einstein condensates. The GP equation has a form of the Schrödinger equation with self-interaction. A localized solution called soliton appears when the dispersion effect and attractive interaction are balanced. The coupled GP equations are used to describe some mixtures of Bose-Einstein condensates. In this paper, we will show some numerical results of coupled GP equations without self-interaction, which has a form of nonlinearly coupled Schrödinger equations. We demonstrate a transition between the localized and delocalized states, and the appearance of dissipation or the damping of a macroscopic oscillation caused by the mutual interaction.

Original languageEnglish
Article number054003
Journaljournal of the physical society of japan
Volume90
Issue number5
DOIs
Publication statusPublished - May 15 2021

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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