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Two-component dark-bright solitons in three-dimensional atomic Bose-Einstein condensates.

Wenlong Wang1, P G Kevrekidis2

  • 1Department of Physics and Astronomy, Texas A&M University, College Station, Texas 77843-4242, USA.

Physical Review. E
|April 19, 2017
PubMed
Summary

This study investigates the stability of three-dimensional (3D) dark-bright solitons in two-component Bose-Einstein condensates. Researchers found these complex structures can be dynamically stable under specific conditions, with simulations revealing robust wave forms.

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Area of Science:

  • Atomic, Molecular & Optical Physics
  • Quantum Gases
  • Condensed Matter Physics

Background:

  • Bose-Einstein condensates (BECs) are quantum states of matter.
  • One-dimensional (1D) dark-bright solitons have been previously studied.
  • Extending these studies to three-dimensional (3D) BECs is crucial for understanding complex quantum phenomena.

Purpose of the Study:

  • To explore the stability of 3D dark-bright solitons in two-component Bose-Einstein condensates.
  • To analyze two specific configurations: planar dark soliton trapping a planar bright soliton, and a dark spherical shell trapping a bright spherical shell.
  • To investigate the dynamics and stability of these 3D soliton structures.

Main Methods:

  • Numerical identification of exact soliton solutions.

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  • Bogolyubov-de Gennes (BdG) linearization analysis for stability.
  • Degenerate perturbation theory for theoretical stability corroboration.
  • Direct numerical simulations to explore dynamics of unstable solitons.

    • Main Results:

    • Both planar and spherical shell 3D dark-bright solitons were identified as numerically exact states.
    • BdG analysis and perturbation theory indicate dynamic stability within specific low chemical potential intervals.
    • Numerical simulations of unstable solitons revealed more robust emergent wave forms.
    • Exploitation of SO(2) symmetry led to the creation of multi-soliton configurations with oscillatory motion.

    Conclusions:

    • Three-dimensional dark-bright solitons in two-component Bose-Einstein condensates exhibit dynamic stability under certain conditions.
    • The study provides a comprehensive analysis of stability and dynamics for these complex quantum structures.
    • The findings pave the way for further research into multi-component BECs and soliton dynamics in higher dimensions.