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

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

Chaos, Solitons & Fractals, 2026, vol. 202, issue P1

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.

Keywords: Beyond mean-field effects; Josephson oscillations; Bose-Einstein condensates in two-dimensional dual-core traps; Bifurcation; Andreev-Bashkin effect (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:202:y:2026:i:p1:s0960077925014948

DOI: 10.1016/j.chaos.2025.117481

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