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Related papers: Logic gates on stationary dissipative solitons

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The effect of an externally applied force upon dynamics of dissipative solitons is analyzed in the framework of the one-dimensional cubic-quintic complex Ginzburg-Landau equation supplemented by a linear potential term. The potential…

Pattern Formation and Solitons · Physics 2018-02-08 Bogdan A. Kochetov , Vladimir R. Tuz

We propose two models for the creation of stable dissipative solitons in optical media with the $\chi^{(2)}$ (quadratic) nonlinearity. To compensate spatially uniform loss in both the fundamental-frequency (FF) and second-harmonic (SH)…

Optics · Physics 2015-06-23 Valery E. Lobanov , Olga V. Borovkova , Boris A. Malomed

We consider the model of fiber-laser cavities near the zero-dispersion point, based on the complex Ginzburg-Landau equation with the cubic-quintic nonlinearity, including the third-order dispersion (TOD) term. It is well known that this…

Optics · Physics 2018-07-04 Hidetsugu Sakaguchi , Dmitry Skryabin , Boris A. Malomed

We report the existence of stable symmetric vortex-type solutions for two-dimensional nonlinear discrete dissipative systems governed by a cubic-quintic complex Ginzburg-Landau equation. We construct a whole family of vortex solitons with a…

In the framework of the nonlinear $\Lambda$-model we investigate propagation of solitons in atomic vapors and Bose-Einstein condensates. We show how the complicated nonlinear interplay between fast solitons and slow-light solitons in the…

Quantum Physics · Physics 2009-11-11 A. V. Rybin , I. P. Vadeiko , A. R. Bishop

The energy sharing collision of bright optical solitons in the Manakov system, governing pulse propagation in high birefringent fiber, is employed theoretically to realize optical logic gates. Especially, for the first time, we successfully…

Pattern Formation and Solitons · Physics 2018-07-04 M. Vijayajayanthi , T. Kanna , K. Murali , M. Lakshmanan

We investigate the existence of stable soliton solution in a system described by complex Ginzburg-Landau (CGL) equation with near parity reflection - time reversal ($\mathcal{PT}$) symmetric Rosen-Morse potential. In this study, the…

Pattern Formation and Solitons · Physics 2018-12-27 K. Hari , K. Manikandan , R. Sankaranarayanan

Quantum logic gates provide fundamental examples of conditional quantum dynamics. They could form the building blocks of general quantum information processing systems which have recently been shown to have many interesting non--classical…

Quantum Physics · Physics 2009-10-28 A. Barenco , D. Deutsch , A. Ekert , R. Jozsa

In a sub-excitable light-sensitive Belousov-Zhabotinsky chemical medium an asymmetric disturbance causes the formation of localized traveling wave-fragments. Under the right conditions these wave-fragment can conserve their shape and…

Pattern Formation and Solitons · Physics 2012-06-26 Andrew Adamatzky , Ben De Lacy Costello , Larry Bull

We consider an array of double oligomers in an optical waveguide device. A mathematical model for the system is the coupled discrete nonlinear Schr\"odinger (NLS) equations, where the gain-and-loss parameter contributes to the…

Pattern Formation and Solitons · Physics 2020-10-22 O. B. Kirikchi , N. Karjanto

The implementation of logical operations on polarization-encoded x-rays via resonant light-nucleus interactions is theoretically investigated. We show that by means of resonant scattering off nuclei and fast rotations of the nuclear…

Quantum Physics · Physics 2016-05-19 Jonas Gunst , Christoph H. Keitel , Adriana Pálffy

We develop a contact-geometric framework for dissipative nonlinear field theories by extending the least constraint theorem to complex fields and establishing a rigorous link with probability measures. The Complex Ginzburg-Landau Equation…

Pattern Formation and Solitons · Physics 2026-02-03 D. Y. Zhong , G. Q. Wang

Optomechanical manipulation of nanoparticles enabling ultimate control over their 3D motion is nowadays one of the most highly demanded links between optics, biology, medicine, microfluidics, etc., paving the way for a plethora of emerging…

Optics · Physics 2020-01-08 D. A. Dolinina , A. S. Shalin , A. V. Yulin

The discrete complex Ginzburg-Landau equation is a fundamental model for the dynamics of nonlinear lattices incorporating competitive dissipation and energy gain effects. Such mechanisms are of particular importance for the study of…

Pattern Formation and Solitons · Physics 2023-05-03 Dirk Hennig , Nikos I. Karachalios , Jesús Cuevas-Maraver

We construct families of one-dimensional (1D) stable solitons in two-component $\mathcal{PT}$-symmetric systems with spin-orbit coupling (SOC) and quintic nonlinearity, which plays the critical role in 1D setups. The system models light…

Optics · Physics 2022-03-02 Gennadiy Burlak , Zhaopin Chen , Boris A. Malomed

We propose a general architecture for universal logic operations using NAND and NOR gates on classical information encoded in period-doubled states of periodically-driven systems. The protocol involves applying a single pulse that…

Quantum Physics · Physics 2026-05-20 Emmanuel D. G. U , Roy D. Jara , Jayson G. Cosme

Dissipative solitons are non-dispersive localized waves that exhibit intriguing dynamics. In optical systems, the discovery of new soliton dynamics and how to accurately manipulate dissipative solitons are still largely unexplored and…

Dissipative solitons are self-localised structures that can persist indefinitely in "open" systems characterised by continual exchange of energy and/or matter with the environment. They play a key role in photonics, underpinning…

Solitons, which describe the propagation of concentrated beams of light through nonlinear media, can exhibit a variety of behaviors as a result of the intrinsic dissipation, diffraction, and the nonlinear effects. One of these phenomena,…

Pattern Formation and Solitons · Physics 2018-08-01 Jaime Cisternas , Tony Albers , Günter Radons

Topological photonics has been developed for more than ten years. It has been proved that the combination of topology and photons is very beneficial to the design of robust optical devices against some disturbances. However, most of the…