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- W4385848614 abstract "The phase space dynamics generated by different orthogonal polynomial self-interactions exhibited in higher order nonlinear Schr{o}dinger equation (NLSE) are often less intuitive than those ofcubic and quintic nonlinearities. Even for nonlinearities as simple as a cubic in NLSE, the dynamics for generic initial states shows surprising features. In this Letter, for the first time, we identify the higher-order nonlinearities in terms of orthogonal polynomials in the generalized NLSE/GPE. More pertinently, we explicate different exotic phase space structures for three specific examples: (i) Hermite, (ii) Chebyshev, and (iii) Laguerre polynomial self-interactions. For the first two self-interactions, we exhibit that the alternating signs of the various higher-order nonlinearities are naturally embedded in these orthogonal polynomials that confirm to the experimental conditions. To simulate the phase-space dynamics that bring about by the Laguerre self-interactions, a source term should {it necessarily} be included in the modified NLSE/GPE. Recent experiments suggest that this modified GPE captures the dynamics of self-bound quantum droplets, in the presence of external source." @default.
- W4385848614 created "2023-08-16" @default.
- W4385848614 creator A5006177041 @default.
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- W4385848614 date "2023-08-12" @default.
- W4385848614 modified "2023-10-16" @default.
- W4385848614 title "Exotic Phase Space Dynamics Generated by Orthogonal Polynomial Self-interactions" @default.
- W4385848614 doi "https://doi.org/10.48550/arxiv.2308.06524" @default.
- W4385848614 hasPublicationYear "2023" @default.
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