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Vortex droplets and lattice patterns in two-dimensional traps: A photonic spin–orbit-coupling perspective

Author

Listed:
  • Sanjay, S.
  • Veni, S. Saravana
  • Malomed, Boris A.

Abstract

In the context of the mean-field exciton-polariton (EP) theory with balanced loss and pump, we investigate the formation of lattice structures built of individual vortex-antivortex (VAV) bound states under the action of the two-dimensional harmonic-oscillator (HO) potential trap and effective spin–orbit coupling (SOC), produced by the TE-TM splitting in the polariton system. The number of VAV elements (“pixels”) building the structures grow with the increase of self- and cross-interaction coefficients. Depending upon their values and the trapping frequency, stable ring-shaped, circular, square-shaped, rectangular, pentagonal, hexagonal, and triangular patterns are produced, with the central site left vacant or occupied in the lattice patterns of different types. The results suggest the experimental creation of the new patterns and their possible use for the design of integrated circuits in EP setups, controlled by the strengths of the TE-TM splitting, nonlinearity, and HO trap.

Suggested Citation

  • Sanjay, S. & Veni, S. Saravana & Malomed, Boris A., 2025. "Vortex droplets and lattice patterns in two-dimensional traps: A photonic spin–orbit-coupling perspective," Chaos, Solitons & Fractals, Elsevier, vol. 197(C).
    • Handle: RePEc:eee:chsofr:v:197:y:2025:i:c:s0960077925004540
    DOI: 10.1016/j.chaos.2025.116441
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    References listed on IDEAS

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    1. Yao Li & Xuekai Ma & Xiaokun Zhai & Meini Gao & Haitao Dai & Stefan Schumacher & Tingge Gao, 2022. "Author Correction: Manipulating polariton condensates by Rashba-Dresselhaus coupling at room temperature," Nature Communications, Nature, vol. 13(1), pages 1-1, December.
    2. Dong, Liangwei & Fan, Mingjing & Malomed, Boris A., 2024. "Three-dimensional vortex and multipole quantum droplets in a toroidal potential," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    3. Matthias Schmitt & Matthias Wenzel & Fabian Böttcher & Igor Ferrier-Barbut & Tilman Pfau, 2016. "Self-bound droplets of a dilute magnetic quantum liquid," Nature, Nature, vol. 539(7628), pages 259-262, November.
    4. Zhao, Yuan & Huang, Qihong & Gong, Tixian & Xu, Siliu & Li, Zeping & Malomed, Boris A., 2024. "Three-dimensional solitons supported by the spin–orbit coupling and Rydberg–Rydberg interactions in PT-symmetric potentials," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    5. Yao Li & Xuekai Ma & Xiaokun Zhai & Meini Gao & Haitao Dai & Stefan Schumacher & Tingge Gao, 2022. "Manipulating polariton condensates by Rashba-Dresselhaus coupling at room temperature," Nature Communications, Nature, vol. 13(1), pages 1-6, December.
    6. Dong, Liangwei & Fan, Mingjing & Malomed, Boris A., 2024. "Stable higher-order vortex quantum droplets in an annular potential," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
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