Two-dimensional lattice soliton and pattern formation in a cold Rydberg atomic gas with nonlocal self-defocusing Kerr nonlinearity

We investigate the generation of optical shock waves in strongly interacting Rydberg atomic gases with a spatially homogeneous dissipative potential. The Rydberg atom interaction induces an optical nonlocal nonlinearity. We focus on local nonlinear (Rb≪R0) and nonlocal nonlinear (Rb∼R0) regimes, where Rb and R0 are the characteristic length of the Rydberg nonlinearity and beam width, respectively. In the local regime, we show spatial width and contrast of the shock wave change monotonically when increasing strength of the dissipative potential and optical intensity. In the nonlocal regime, the characteristic quantity of the shock wave depends on Rb/R0 and dissipative potential nontrivially and on the intensity monotonically. We find that formation of shock waves dominantly takes place when Rb is smaller than R0, while the propagation dynamics is largely linear when Rb is comparable to or larger than R0. Our results reveal nontrivial roles played by dissipation and nonlocality in the generation of shock waves, and provide a route to manipulate their profiles and stability. Our study furthermore opens new avenues to explore non-Hermitian physics and nonlinear wave generation and propagation by controlling dissipation and nonlocality in the Rydberg media. Published by the American Physical Society 2024

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Two-dimensional vortex dipole solitons in nonlocal nonlinearity with PT-symmetric Scarff-II potential

Chen¹,

Wang²

2023

Opt. Express

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We investigate the dynamics and stability of two-dimensional (2D) vortex dipole solitons in nonlocal nonlinearity with PT-symmetric Scarff-II potential. We analyze the solitons with single charge and higher-order charge using analytical and numerical methods. By the variational approach, we can obtain analytical solutions for the model. It is found that the nonlocality degree affects the evolution of the beams. We discover that the vortex dipole solitons will undergo stable deformation rather than maintaining their basic profile when the nonlocality is strong. Moreover, the stability of the vortex dipole solitons depends on the potential depth and there exists a threshold, below which the beams can keep their shapes and propagate stably whether the nonlocality is weak, intermediate, or strong. Numerical simulations are consistent with the analytical results.

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Two-dimensional lattice soliton and pattern formation in a cold Rydberg atomic gas with nonlocal self-defocusing Kerr nonlinearity

Cited by 3 publications

References 36 publications

Soliton transformation in a cold Rydberg atomic system

Soliton transformation in a cold Rydberg atomic system

Shock-wave generation and propagation in dissipative and nonlocal nonlinear Rydberg media

Two-dimensional vortex dipole solitons in nonlocal nonlinearity with PT-symmetric Scarff-II potential

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