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Beyond mean-field effects in Josephson oscillations and self-trapping of Bose–Einstein condensates in two-dimensional dual-core traps

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  • Otajonov, Sherzod R.
  • Abdullaev, Fatkhulla Kh.
  • Shermaxmatov, Akbar

Abstract

We study a binary Bose gas in a symmetric dual-core, pancake-shaped trap, modelled by two linearly coupled two-dimensional Gross–Pitaevskii equations with Lee-Huang-Yang corrections. Two different cases are considered. First, we consider a spatially uniform condensate, where we identify the domains of parameters for macroscopic quantum tunnelling, self-trapping and localisation revivals. The analytical formulas for the Josephson frequencies in the zero- and π-phase modes are derived. As the total atom number varies, the system displays a rich bifurcation structure. In the zero-phase, two successive pitchfork bifurcations generate bistability and hysteresis, while the π-phase exhibits a single pitchfork bifurcation.

Suggested Citation

  • Otajonov, Sherzod R. & Abdullaev, Fatkhulla Kh. & Shermaxmatov, Akbar, 2026. "Beyond mean-field effects in Josephson oscillations and self-trapping of Bose–Einstein condensates in two-dimensional dual-core traps," Chaos, Solitons & Fractals, Elsevier, vol. 202(P1).
    • Handle: RePEc:eee:chsofr:v:202:y:2026:i:p1:s0960077925014948
    DOI: 10.1016/j.chaos.2025.117481
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    References listed on IDEAS

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    1. G. Biagioni & N. Antolini & B. Donelli & L. Pezzè & A. Smerzi & M. Fattori & A. Fioretti & C. Gabbanini & M. Inguscio & L. Tanzi & G. Modugno, 2024. "Measurement of the superfluid fraction of a supersolid by Josephson effect," Nature, Nature, vol. 629(8013), pages 773-777, May.
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