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Related papers: Logic gates on stationary dissipative solitons

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Neurons are modeled electrically based on ferroelectric membranes thin enough to permit charge transfer, conjectured to be the tunneling result of thermally energetic ions and random electrons. These membranes can be triggered to produce…

Neural and Evolutionary Computing · Computer Science 2008-04-30 John Robert Burger

When the steady states at infinity become unstable through a pattern forming bifurcation, a travelling wave may bifurcate into a modulated front which is time-periodic in a moving frame. This scenario has been studied by B.Sandstede and…

Analysis of PDEs · Mathematics 2007-05-23 Thierry Gallay , Guido Schneider , Hannes Uecker

Dissipative solitons are self-localized structures resulting from a double balance between dispersion and nonlinearity as well as dissipation and a driving force. They occur in a wide variety of fields ranging from optics, hydrodynamics to…

The aim of this paper is to provide a construction of stationary discrete solitons in an extended one-dimensional Discrete NLS model with non-nearest neighbour interactions. These models, models of the type with long-range interactions were…

Dynamical Systems · Mathematics 2026-03-20 Vassilis M. Rothos , Stavros Anastassiou , Katerina G. Hadjifotinou

Electromagnetic wave-based computing has emerged as an exciting paradigm with the potential to enable high-speed, parallel operations. In conventional computing, elementary logic gates, such as AND, OR, NOT and XOR, form the building blocks…

Applied Physics · Physics 2025-08-27 Ross Glyn MacDonald , Alex Yakovlev , Victor Pacheco-Peña

We present a comprehensive study of optical solitons supported by spiral potentials in media with the cubic-quintic (CQ) nonlinearity. A variety of families of stationary states, including fundamental and high-order (excited) in-phase,…

Pattern Formation and Solitons · Physics 2026-04-02 Liangwei Dong , Jingyi Deng , Changming Huang , Boris A. Malomed

We consider theoretical models of the nanolaser and logic gates on carbon nanotubes (CNTs). In our work, it is shown at pumping the nanoresonator of the nanolaser on CNT by optical radiation using a quantum dot as nano light emitted diode…

Optics · Physics 2025-11-18 I. V. Dzedolik , S. V. Tomilin

We demonstrate the existence of stable three dimensional dissipative localized structures in the output of a laser coupled to a distant saturable absorber. These phase invariant light bullets are individually addressable and can be…

Optics · Physics 2016-02-03 J. Javaloyes

The existence and stability of stable bright solitons in one-dimensional (1D) media with a spatially periodical modulated Kerr nonlinearity are demonstrated by means of the linear-stability analysis and in direct numerical simulations. The…

Pattern Formation and Solitons · Physics 2019-09-24 Liangwei Zeng , Jianhua Zeng

In this letter we introduce a complete photonic logic gate architecture, making use of the non-linear and spintronic properties of exciton-polaritons in semiconductor microcavities. This hybrid light-matter design is highly compact and…

Mesoscale and Nanoscale Physics · Physics 2013-08-01 T. Espinosa-Ortega , T. C. H. Liew

We experimentally demonstrate the existence of non dispersive solitary waves associated with a 2$\pi$ phase rotation in a strongly multimode ring semiconductor laser with coherent forcing. Similarly to Bloch domain walls, such structures…

Spin waves and their quanta magnons open up a promising branch of high-speed and low-power information processing. Several important milestones were achieved recently in the realization of separate magnonic data processing units including…

The long-time asymptotic behavior of solutions to the focusing nonlinear Schr\"odinger (NLS) equation on the line with symmetric, nonzero boundary conditions at infinity is studied in the case of initial conditions that allow for the…

Analysis of PDEs · Mathematics 2021-01-19 Gino Biondini , Sitai Li , Dionyssios Mantzavinos

We present a scheme of XOR/XNOR logic gate, based on non phase-matched noncollinear second harmonic generation from a medium of suitable crystalline symmetry, Gallium nitride. The polarization of the noncollinear generated beam is a…

We show that excitability is generic in systems displaying dissipative solitons when spatial inhomogeneities and drift are present. Thus, dissipative solitons in systems which do not have oscillatory states, such as the prototypical…

Pattern Formation and Solitons · Physics 2013-02-15 P. Parra-Rivas D. Gomila , M. A. Matias , P. Colet

There is a lack of knowledge about the topological invariants of non-linear $d$-dimensional systems with a periodic potential. We study these systems through a classification of the linearized NLS/GP equation around their soliton solutions.…

Pattern Formation and Solitons · Physics 2020-12-10 Daniel Sheinbaum

We overview the properties of nonlinear guided waves and (bright and dark) spatial optical solitons in a periodic medium created by a sequence of linear and nonlinear layers. First, we consider a single layer with a cubic nonlinear response…

Pattern Formation and Solitons · Physics 2009-04-01 Andrey A. Sukhorukov , Yuri S. Kivshar

We study spatial and temporal solitons in the $\mathcal{PT}$ symmetric coupler with gain in one waveguide and loss in the other. Stability properties of the high- and low-frequency solitons are found to be completely determined by a single…

Pattern Formation and Solitons · Physics 2015-06-05 N. V. Alexeeva , I. V. Barashenkov , Andrey A. Sukhorukov , Yuri S. Kivshar

Controlling the coherence between light and matter has enabled the radiation of electromagnetic waves with spectral purity and stability that defines the Syst\`eme International (SI) second. While transitions between hyperfine levels in…

We demonstrate that stationary localized solutions (discrete solitons) exist in a one dimensional Bose-Hubbard lattices with gain and loss in the semiclassical regime. Stationary solutions, by defi- nition, are robust and do not demand for…

Quantum Physics · Physics 2015-03-19 Uta Naether , Fernando Quijandría , Juan José García-Ripoll , David Zueco
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