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SUMMARY:B. A. Malomed
DTSTART:20250929T131000Z
DTEND:20250929T142500Z
DTSTAMP:20260423T024801Z
UID:QOART2025/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QOART2025/9/
 ">Multidimensional solitons</a>\nby B. A. Malomed as part of Quantum Optic
 s and Related Topics 2025\n\n\nAbstract\nIt is commonly known that the int
 erplay of  linear and nonlinear effects\ngives rise to solitons\, i.e.\, s
 elf-trapped localized structures\, in a wide range of physical\nsettings\,
  including optics\, Bose-Einstein condensates (BECs)\, hydrodynamics\,\npl
 asmas\, condensed-matter physics\, etc. Nowadays\, solitons are considered
  as an\ninterdisciplinary class of modes\, which feature diverse internal 
 structures.\n\nWhile most experimental realizations and theoretical models
  of solitons\nhave been elaborated in one-dimensional (1D) settings\,  a c
 hallenging issue is\nprediction of stable solitons in 2D and 3D media. In 
 particular\, multidimensional\nsolitons may carry an intrinsic topological
  structure in the form of vorticity. In\naddition to the "simple" vortex s
 olitons\, fascinating objects featuring complex\nstructures\, such as hopf
 ions\, i.e.\, vortex rings with internal twist\, have been predicted too.\
 n\nA fundamental problem is the propensity of multidimensional solitons\nt
 o be unstable (naturally\, solitons with a more sophisticated structure\, 
 such as\nvortex solitons\, are more vulnerable to instabilities). Recently
 \, novel perspectives for the\ncreation of stable 2D and 3D solitons were 
 brought to the attention of researchers in\noptics and BEC. The present ta
 lk aims to provide an overview of the main results\nand ongoing developmen
 ts in this vast field. An essential conclusion is the benefit\noffered by 
 the exchange of concepts between different areas\, such as optics\, BEC\, 
 and\nhydrodynamics.\n\nRecent review articles and a book on the subject of
  the talk:\n\nY. Kartashov\, G. Astrakharchik\, B. Malomed\, and L. Torner
 \,\nFrontiers in multidimensional self-trapping of nonlinear fields and ma
 tter\,\nNature Reviews Physics 1\, 185-197 (2019)\nhttps://doi.org/10.1038
 /s42254-019-0025-7.\n\nB. A. Malomed\, (INVITED) Vortex solitons: Old resu
 lts and new perspectives\,\nPhysica D 399\, 108-137 (2019)\nhttps://doi.or
 g/10.1016/j.physd.2019.04.009\;\nfree access: https://authors.elsevier.com
 /a/1ZXATc2Eea3QG\n\nZ. Luo\, W. Pang\, B. Liu\, Y. Li\, and B. A. Malomed\
 , A new form of liquid matter:\nquantum droplets\, Front. Phys. 16\, 32501
  (2021)\nhttps://link.springer.com/article/10.1007/s11467-020-1020-2.\n\nB
 . A. Malomed\, Multidimensional dissipative solitons and solitary vortices
 \,\nChaos\, Solitons & Fractals 163\, 112526 (2022)\nhttps://doi.org/10.10
 16/j.chaos.2022.112526.\n\nB. A. Malomed\, Multidimensional Soliton System
 s\, Advances in Physics X 9:1\,\n2301592 (2024).\n\nG. Li\, Z. Zhao\, B. L
 iu\, Y. Li\, Y. V. Kartashov\, and B. A. Malomed\, Can vortex\nquantum dro
 plets be realized experimentally? Frontiers of Phys. 20\, 013401 (2025).\n
 \nB. A. Malomed\, Prediction and observation of topological modes in fract
 al nonlinear\noptics\, Light: Science & Applications 14\, 29 (2025).\n\nB.
  A. Malomed\, Multidimensional solitons (a book)\, AIP (American Institute
  of Physics)\nPublishing\, Melville\, NY\, 2022.\n
LOCATION:https://researchseminars.org/talk/QOART2025/9/
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