Solitons in quasiperiodic lattices with fractional diffraction

Year: 2025

Authors: Pavlyshynets E., Salasnich L., Malomed B.A., Yakimenko A.

Autors Affiliation: Taras Shevchenko Natl Univ Kyiv, Dept Phys, 64-13 Volodymyrska St, UA-01601 Kyiv, Ukraine; Univ Padua, Dipartimento Fis & Astron Galileo Galilei, Via Marzolo 8, I-35131 Padua, Italy; Univ Padua, Padua QTech Ctr, Via Marzolo 8, I-35131 Padua, Italy; Ist Nazl Fis Nucleare INFN, Sez Padova, Via Marzolo 8, I-35131 Padua, Italy; Consiglio Nazl Ric CNR, Ist Nazl Ott INO, Via Nello Carrara 1, I-50019 Sesto Fiorentino, Italy; Tel Aviv Univ, Fac Engn, Dept Phys Elect, IL-69978 Tel Aviv, Israel; Tel Aviv Univ, Ctr Light Matter Interact, IL-69978 Tel Aviv, Israel; Univ Tarapaca, Inst Alta Invest, Casilla 7D, Arica, Chile.

Abstract: We study the dynamics of solitons under the action of one-dimensional quasiperiodic lattice potentials, fractional diffraction, and nonlinearity. The formation and stability of the solitons are investigated in the framework of the fractional nonlinear Schr & ouml;dinger equation. By means of variational and numerical methods, we identify conditions under which stable solitons emerge, stressing the effect of fractional diffraction on soliton properties. The reported findings contribute to understanding the soliton behavior in complex media, with implications for topological photonics and matter-wave dynamics in lattice potentials.

Journal/Review: PHYSICAL REVIEW E

Volume: 111 (4)      Pages from: 44206-1  to: 44206-12

More Information: The work of B.A.M. was supported, in part, by the Israel Science Foundation through Grant No. 1695/22. L.S. and A.I.Y. thank also the following Italian MUR projects for financial support: PRIN 2022: Quantum Atomic Mixtures: Droplets, Topological Structures, and Vortices and Dipartimento di Eccellenza DFA: Quantum Frontiers.
KeyWords: Vortex Solitons; Ground-state; Einstein; Dynamics
DOI: 10.1103/PhysRevE.111.044206

Citations: 1
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