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Magnetic solitons have recently attracted significant attention due to their intricate physical properties and potential applications in information processing. The majority of the studies in this field, however, are focused on a particular…

Topological solitons are crucial to many branches of physics, such as models of fundamental particles in quantum field theory, information carriers in nonlinear optics, and elementary entities in quantum and classical computations. Chiral…

Mesoscale and Nanoscale Physics · Physics 2023-05-24 X. R. Wang , X. C. Hu

Analogies between non-trivial topologies of matter and light have inspired numerous studies, including defect formation in structured light and topological photonic band-structures. Three-dimensional topological objects of localized…

Quantum Gases · Physics 2022-03-15 C. D. Parmee , M. R. Dennis , J. Ruostekoski

Topological defects play a key role in a variety of physical systems, ranging from high-energy to solid state physics. They yield fascinating emergent phenomena and serve as a bridge between the microspic and macroscopic world. A skyrmion…

Optics · Physics 2018-09-26 S. Tsesses , E. Ostrovsky , K. Cohen , B. Gjonaj , N. Lindner , G. Bartal

Quantum nonlinear optics is a quickly growing field with large technological promise, at the same time involving complex and novel many-body phenomena. In the usual scenario, optical nonlinearities originate from the interactions between…

Quantum Gases · Physics 2019-05-13 Kieran A. Fraser , Francesco Piazza

Skyrmions are topological solitons that emerge in many physical contexts. In magnetism, they appear as textures of the spin-density field stabilized by different competing interactions and characterized by a topological charge that counts…

Mesoscale and Nanoscale Physics · Physics 2020-01-15 Hector Ochoa , Yaroslav Tserkovnyak

Soliton molecules, bound states of two solitons, can be important for the informatics using solitons and the quest for exotic particles in a wide range of physical systems from unconventional superconductors to nuclear matter and Higgs…

Materials Science · Physics 2023-08-11 Taehwan Im , Sun Kyu Song , Jae Whan Park , Han Woong Yeom

Skyrmions are topological defects belonging to nontrivial homotopy classes in particle theory. Their remarkably stable topology has recently been observed in electromagnetic waves. For the evanescent fields near a surface, this has been…

We analyze topological solitons in the noncommutative plane by taking a concrete instance of the quantum Hall system with the SU(N) symmetry, where a soliton is identified with a skyrmion. It is shown that a topological soliton induces an…

High Energy Physics - Theory · Physics 2009-11-11 Z. F. Ezawa , G. Tsitsishvili

Topological solitons, such as skyrmions, arise in field theories of systems ranging from Bose-Einstein condensates to optics, particle physics, and cosmology, but they are rarely accessible experimentally. Chiral nematic liquid crystals…

Applied Physics · Physics 2019-10-18 Hayley R. O. Sohn , Changda D. Liu , Ivan I. Smalyukh

Soliton molecules, bound states composed of interacting fundamental solitons, exhibit remarkable resemblance with chemical compounds and phenomena in quantum mechanics. Whereas optical molecules composed of two or more temporally locked…

The interplay of nonlinearity and topology results in many novel and emergent properties across a number of physical systems such as chiral magnets, nematic liquid crystals, Bose-Einstein condensates, photonics, high energy physics, etc. It…

Pattern Formation and Solitons · Physics 2020-08-25 A. Saxena , P. G. Kevrekidis , J. Cuevas-Maraver

Optical skyrmions have recently been constructed by tailoring electric or spin field distributions through the interference of multiple surface plasmon polaritons, offering promising features for advanced information processing, transport…

Optics · Physics 2022-01-11 Zi-Lan Deng , Tan Shi , Alex Krasnok , Xiangping Li , Andrea Alù

Combining topology and plasmonics paradigms in nanocolloidal systems may enable new means of pre-engineering desired composite material properties. Here we design and realize orientationally ordered assemblies of noble metal nanoparticles…

Soft Condensed Matter · Physics 2016-12-01 Ye Yuan , Ivan I. Smalyukh

We review the SU(2) Skyrme model and describe its topological soliton solutions, which are called Skyrmions. Skyrmions provide a model of nuclei in which the conserved topological charge is identified with the baryon number of a nucleus.…

High Energy Physics - Theory · Physics 2008-09-23 Nicholas S. Manton , Stephen W. Wood

Polarization of light can form skyrmionic textures, akin to nonlinear solitons in condensed matter, yet their disparate physical context has motivated extensive debate regarding their stability. Here we show that the topological charge of…

Optics · Physics 2026-04-16 Nilo Mata-Cervera , Zhenyu Guo , Yijie Shen

Topological materials exhibit properties dictated by quantised invariants that make them robust against perturbations. This topological protection is a universal wave phenomenon that applies not only in the context of electrons in…

Optics · Physics 2020-05-26 Sebabrata Mukherjee , Mikael C. Rechtsman

Topological quasiparticles of light, such as classical and quantum optical skyrmions, have so far relied on fully coherent or pure quantum states whose topology is encoded in the entanglement between polarization and two-dimensional spatial…

Quantum Physics · Physics 2026-04-28 Amit Kam , Charles Roques-Carmes , Shai Tsesses , Aviv Karnieli

Skyrmions are topologically stable quasiparticles that have been predicted and demonstrated in quantum fields, solid-state physics, and magnetic materials, but only recently observed in electromagnetic fields, triggering fast expanding…

Optics · Physics 2024-01-05 Yijie Shen , Qiang Zhang , Peng Shi , Luping Du , Xiaocong Yuan , Anatoly V. Zayats

From protein motifs to black holes, topological solitons are pervasive nonlinear excitations that are robust and can be driven by external fields. So far, existing driving mechanisms all accelerate solitons and antisolitons in opposite…

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