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Condensed Matter > Quantum Gases

arXiv:2407.07384 (cond-mat)
[Submitted on 10 Jul 2024]

Title:Dynamics of quasi-one-dimensional quantum droplets in Bose-Bose mixtures

Authors:Sherzod R. Otajonov, Bakhram A. Umarov, Fatkhulla Kh. Abdullaev
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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.
Comments: Accepted manuscript for publication in Chaos, Solitons & Fractals
Subjects: Quantum Gases (cond-mat.quant-gas); Pattern Formation and Solitons (nlin.PS)
Cite as: arXiv:2407.07384 [cond-mat.quant-gas]
  (or arXiv:2407.07384v1 [cond-mat.quant-gas] for this version)
  https://doi.org/10.48550/arXiv.2407.07384

Submission history

From: Sherzod Otajonov [view email]
[v1] Wed, 10 Jul 2024 06:03:48 UTC (5,770 KB)
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