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Dynamics of quasi-one-dimensional quantum droplets in Bose–Bose mixtures

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  • Otajonov, Sherzod R.
  • Umarov, Bakhram A.
  • Abdullaev, Fatkhulla Kh.

Abstract

The properties of quasi-one-dimensional quantum droplets of Bose–Einstein condensates are investigated analytically and numerically, taking into account the contribution of quantum fluctuations. Through the development of a variational approach employing the super-Gaussian function, we identify stationary parameters for the quantum droplets. The frequency of breathing mode oscillations in these quantum droplets is estimated. Moreover, the study reveals that periodic modulation in time of the atomic scattering length induces resonance oscillations in quantum droplet parameters or the emission of linear waves, contingent on the amplitude of the external modulation. A similar analysis is conducted for the Lee–Huang–Yang fluid, confined in a parabolic potential. Theoretical predictions are corroborated through direct numerical simulations of the governing extended Gross–Pitaevskii equation. Additionally, we study the collision dynamics of quasi-one-dimensional quantum droplets.

Suggested Citation

  • Otajonov, Sherzod R. & Umarov, Bakhram A. & Abdullaev, Fatkhulla Kh., 2024. "Dynamics of quasi-one-dimensional quantum droplets in Bose–Bose mixtures," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    • Handle: RePEc:eee:chsofr:v:186:y:2024:i:c:s0960077924007641
    DOI: 10.1016/j.chaos.2024.115212
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    References listed on IDEAS

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    1. Holger Kadau & Matthias Schmitt & Matthias Wenzel & Clarissa Wink & Thomas Maier & Igor Ferrier-Barbut & Tilman Pfau, 2016. "Observing the Rosensweig instability of a quantum ferrofluid," Nature, Nature, vol. 530(7589), pages 194-197, February.
    2. Malomed, B.A., 2022. "Multidimensional dissipative solitons and solitary vortices," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
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