Discrete vortex quantum droplets

Zi-bin Zhao, Gui-hua Chen, Bin Liu and Yong-yao Li

Chaos, Solitons & Fractals, 2022, vol. 162, issue C

Abstract: We analyze the existence and characteristics of discrete vortex quantum droplets with intrinsic topological charges S of up to 5 in two-component Bose-Einstein condensates in a deep two-dimensional (2D) optical lattice. The 2D discrete Gross-Pitaevskii equation with a Lee-Huang-Yang (LHY) correction term is used to model the condensate, which incorporates local contact interactions and LHY corrections induced by quantum fluctuations. The characteristics of vortical modes with S = 1 and S = 2 are studied in detail. The chemical potential μ and peak density ρmax of the modes are calculated as functions of the norm N. The μ−N curves of on-site-centered and off-site-centered modes with the same number of lattice sites are nearly identical. We make an analysis and reach a conclusion consistent with these simulation results. This system contains a nontrivial type of vortex mode known as the mixed-vortex mode, in which the two components have the same density pattern and different topological charges. To the best of our knowledge, we are the first to report vortex modes with isomorphic density patterns and heteromorphic vortices in the field of quantum droplets.

Keywords: Gross-Pitaevskii equation; Quantum droplets; Optical lattices; Lee-Huang-Yang corrections (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:162:y:2022:i:c:s0960077922006919

DOI: 10.1016/j.chaos.2022.112481

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