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The stability and collision dynamics of quantum droplets in PT-symmetric optical lattices

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  • Hu, Juncheng
  • Wang, Hongcheng
  • Chen, Guihua
  • Zhang, Qingmao

Abstract

This paper explores the stability and collision dynamics of two-component quantum droplets within the framework of the two-dimensional Gross-Pitaevskii (GP) equation, incorporating PT-symmetric lattice potentials and Lee-Huang-Yang (LHY) correction terms. Through theoretical analysis and numerical simulations, the behavior of two-component quantum droplets in PT-symmetric lattice potentials is elucidated. The study reveals that bell-shaped zero-vortex quantum droplets can form in PT-symmetric lattices, and their stability adheres to the Vakhitov-Kolokolov (VK) criterion. Numerical simulations demonstrate three distinct post-collision states of droplets: coalescence, separation, and evaporation, with the specific outcome depending on the droplets' particle number, initial momentum, and relative phase. Additionally, the quadrupole oscillation mode of the coalesced droplets is examined, revealing a relationship between the oscillation period and the norm. These findings provide significant insights for understanding quantum droplet phenomena and designing related experiments.

Suggested Citation

  • Hu, Juncheng & Wang, Hongcheng & Chen, Guihua & Zhang, Qingmao, 2025. "The stability and collision dynamics of quantum droplets in PT-symmetric optical lattices," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    • Handle: RePEc:eee:chsofr:v:191:y:2025:i:c:s0960077924013894
    DOI: 10.1016/j.chaos.2024.115837
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    References listed on IDEAS

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