Article
Mathematics, Applied
Ibrahim Azeghap-Simo, Fernande Fotsa-Ngaffo, Aurelien Kenfack-Jiotsa
Summary: In this paper, the dynamics of mechanical coupled oscillators (MCO) with Parity-Time (PT) symmetry, exhibiting gain and loss, are investigated. The eigenmodes and breaking points in the linear case are determined, and in the nonlinear case, the breaking point for soft cubic or quintic potential is found numerically and analytically. However, for the hard cubic or quintic potential, instead of a breaking point, there is a transition to a regime of stable oscillation with energy transfer from the loss oscillator to the gain oscillator. This result suggests important applications in optical cavities and waveguides.
PHYSICA D-NONLINEAR PHENOMENA
(2023)
Article
Mathematics, Interdisciplinary Applications
Mourad Soltani, Houria Triki, Faisal Azzouzi, Yunzhou Sun, Anjan Biswas, Yakup Yildirim, Hashim M. Alshehri, Qin Zhou
Summary: This research analyzes the dynamics of intense light pulses in an optical medium with cubic-quintic nonlinearity and pure fourth-order dispersion. The study reveals various periodic wave solutions in the system. Notably, two types of quartic dark solitons with equal amplitudes and wave numbers but different widths are identified in the long-wave limit for the first time.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Engineering, Mechanical
Xing Zhu, Zhen Cai, Jinglin Liu, Shangwen Liao, Yingji He
Summary: This work demonstrates that non-parity-time-symmetric complex potentials can support continuous soliton families in competing cubic-quintic nonlinearities. The quintic nonlinearity coefficient influences the soliton existence and stability areas significantly.
NONLINEAR DYNAMICS
(2022)
Article
Optics
Ambaresh Sahoo, Dipti Kanika Mahato, A. Govindarajan, Amarendra K. Sarma
Summary: This study presents a detailed investigation on the dynamics of soliton steering in a femtosecond parity-time-symmetric directional coupler. The incorporation of higher-order perturbative effects stabilizes the soliton pulse evolution and enables efficient soliton steering.
Article
Optics
Souang Kemedane Boukar, Crepin Heuteu, Lucien Mandeng Mandeng, Clement Tchawoua
Summary: This work investigates the modulational instability phenomenon of truncated Airy pulses in a cubic-quintic nonlinear optical waveguide. It is found that the instability is improved by the cooperating nonlinearities and is avoided in the case of competing nonlinearities. The introduction of multiphoton absorption plays a limiting role in the modulational instability.
OPTICS COMMUNICATIONS
(2022)
Article
Mathematics, Applied
Wen-Bo Bo, Ru-Ru Wang, Wei Liu, Yue-Yue Wang
Summary: The symmetry breaking of solitons in the nonlinear Schrodinger equation with cubic-quintic competing nonlinearity and parity-time symmetric potential is studied. It is found that symmetric fundamental solitons and symmetric tripole solitons tend to be stable, while asymmetric solitons are unstable in both high and low power regions. Increasing saturable nonlinearity widens the stability region of fundamental symmetric solitons and symmetric tripole solitons.
Article
Optics
Liangwei Dong, Guanqiang Li, Changming Huang
Summary: By nesting a rich variety of optical vortex structures in a localized beam envelope supported by cubic-quintic media confined in a rotating harmonic trap, we observe rotating nonlinear states with different symmetries in vortex clusters and significant deformation of the beam envelope.
Article
Engineering, Mechanical
Yu Zhong, Houria Triki, Qin Zhou
Summary: This research focuses on the propagation and stability of solitons in a nonlinear Schrödinger equation with temporally inhomogeneous dispersion under different parity-time symmetric potentials. The study shows that stable propagation of nonlinear waves can be achieved in highly nonlinear mediums.
NONLINEAR DYNAMICS
(2023)
Article
Optics
Manoj Mishra, Sandeep Kumar Kajala, Mohit Sharma, Swapan Konar, Soumendu Jana
Summary: This article investigates the generation and propagation of high power Gaussian soliton beams through a highly nonlocal nonlinear media. Different beam profiles, including Hermite super-Gaussian, Hermite cosh-Gaussian, and Hermite cosh-super-Gaussian, are used to generate the solitons. The stability and bifurcation parameter space of the solitons are analyzed through both analytical and numerical methods. The study also highlights the influence of quintic nonlinearity on the generation, propagation, and bifurcation of the solitons.
Article
Mathematics, Interdisciplinary Applications
Junbo Chen, Jianhua Zeng
Summary: Investigated the existence, properties, and stability of one-dimensional matter-wave gap solitons and soliton clusters in optical lattices with competitive cubic-quintic nonlinearity, identifying stable and unstable regions for dark gap solitons and clusters.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Optics
Wen-Bo Bo, Wei Liu, Yue-Yue Wang
Summary: This study reports symmetric and antisymmetric solitons in the fractional nonlinear Schrodinger equation with defocused saturable nonlinearity and PT-symmetric potential. It is found that strong saturable nonlinearity suppresses the change of propagation constant as soliton power increases. The stability of symmetric and antisymmetric solitons is analyzed and verified, showing that high power and strong nonlinearity can enhance the stability of symmetric solitons but make antisymmetric solitons unstable.
Article
Mathematics, Applied
Gennadiy Burlak, Zhaopin Chen, Boris A. Malomed
Summary: We construct families of one-dimensional stable solitons in two-component PT-symmetric systems with spin-orbit coupling and quintic nonlinearity. The stability regions for the solitons are identified, and the stability boundaries are determined by simulations and linear stability analysis. The evolution scenarios for unstable solitons are investigated, and interactions between adjacent solitons are explored. The study also considers a reduced diffractionless system that only produces unstable solitons.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2022)
Article
Optics
Xin-zhe Zhang, Ru-zhi Luo, J. I. N. G. Chen
Summary: This study shows that the time-averaged Poynting vector in parity-time (PT) symmetric coupled waveguides is always positive and cannot explain the phenomenon of stopped light at exceptional points (EPs). By considering the fields and Poynting vector in non-Hermitian systems as complex, a formula for the group velocity is proposed, which accurately explains the stopped light and fast-light effect at EPs. This research bridges the gap between classical electrodynamics and non-Hermitian physics, emphasizing the novelty of non-Hermitian optics.
Article
Optics
Nikolai A. Kudryashov, Anjan Biswas, Abdul H. Kara, Yakup Yildirim
Summary: This paper recovers dark and bright cubic-quartic optical solitons using the cubic-quintic-septicnonic nonlinear Schrodinger's equation, and then identifies the conserved quantities associated with the bright soliton using Gauss' hypergeometric functions.
Review
Mathematics
Islam Samir, Ahmed H. Arnous, Yakup Yildirim, Anjan Biswas, Luminita Moraru, Simona Moldovanu
Summary: The paper introduces the enhanced Kudryashov's technique to retrieve solitons with specific structures, proving that extending the self-phase modulation beyond cubic-quintic nonlinearity is unnecessary.
Article
Optics
Sergey K. Ivanov, Yaroslav Kartashov, Alexander Szameit, Lluis Torner, Vladimir V. Konotop
Summary: Topological insulators are physical structures that are insulators in their bulk but support currents at their edges due to topological effects. Photonic topological insulators can be created in materials with strong nonlinear response, leading to phenomena such as the formation of topological edge solitons.These solitons are supported by parametric interactions in chi((2)) nonlinear media and open new prospects for exploring frequency-mixing phenomena in photonic Floquet quadratic nonlinear media.
LASER & PHOTONICS REVIEWS
(2022)
Article
Physics, Multidisciplinary
Qidong Fu, Peng Wang, Yaroslav V. Kartashov, Vladimir V. Konotop, Fangwei Ye
Summary: This study investigates the one-dimensional topological pumping of matter waves in two overlaid optical lattices with attractive nonlinearity. It reveals that there is a threshold nonlinearity level where matter transfer completely halts. Below this threshold, both dispersive wave packets and solitons follow the predictions of linear theory, quantized and determined by the linear dynamical Chern numbers of the lowest bands. The breakdown of transport is justified by the nontrivial topology of the bands, where nonlinearity induces Rabi oscillations of atoms between the lowest bands. The direction and magnitude of the average velocity of matter solitons, which remain quantized and allow fractional values, are determined by the sum of the Chern numbers of the nonlinearity-excited bands. The study emphasizes the role of the topology of linear bands in the evolution of solitons, even in the strongly nonlinear regime. The transition between different dynamical regimes is accurately described by perturbation theory for solitons.
PHYSICAL REVIEW LETTERS
(2022)
Article
Optics
Chunyan Li, Yaroslav Kartashov, Vladimir V. Konotop
Summary: In this study, it was found that a honeycomb array of helical waveguides with a refractive index gradient can support Floquet bound states in the continuum. The formation mechanism of these bound states is attributed to the emergence of crossings and avoided crossings of the branches supported by spatially limited stripe array. Almost all states in the system are localized due to the gradient, with topological edge states exhibiting stronger localization than other states.
Article
Physics, Multidisciplinary
Qidong Fu, Peng Wang, Yaroslav V. Kartashov, Vladimir V. Konotop, Fangwei Ye
Summary: This theoretical study investigates the nonlinear quantized Thouless pumping of a Bose-Einstein condensate loaded in two-dimensional dynamical optical lattices, identifying three different pumping scenarios and highlighting the importance of the initial number of atoms and two-body interactions strength. The article also discusses the role of Chern numbers and two-body interactions in determining the displacement of a wave packet.
PHYSICAL REVIEW LETTERS
(2022)
Article
Multidisciplinary Sciences
Peng Wang, Qidong Fu, Ruihan Peng, Yaroslav Kartashov, Lluis Torner, Vladimir V. Konotop, Fangwei Ye
Summary: This study demonstrates the Thouless topological transport of light in a tunable Moire lattice, which exhibits unique topological features and occurs widely in various scientific areas.
NATURE COMMUNICATIONS
(2022)
Article
Optics
Sergey K. Ivanov, Vladimir V. Konotop, Yaroslav Kartashov, Lluis Torner
Summary: We demonstrate the existence of different types of vortex solitons in self-focusing Kerr media using optical moire lattices. We study the properties of these states in lattices with commensurate and incommensurate geometries, and in both the localization and delocalization regimes. The formation of vortex solitons strongly depends on the twist angle, and their power exhibits intervals of nearly linear function with the propagation constant, showing a high level of stability. Moreover, stable embedded vortex solitons are found in the incommensurate phase above the localization-delocalization transition.
Article
Materials Science, Multidisciplinary
D. A. Zezyulin, I. A. Shelykh
Summary: A general theory of adiabatic propagation of spinor exciton polaritons in waveguides, taking into account the effects of TE-TM and Zeeman splittings, is proposed. The theory is applied to waveguides with periodically curved shapes, where the periodic rotation of the effective in-plane magnetic field due to TE-TM interaction gives rise to a nontrivial band-gap structure that can be tuned by an external magnetic field. It is also shown that spin-dependent interactions lead to the formation of stable gap solitons.
Article
Optics
Dmitry A. Zezyulin
Summary: We study one-dimensional quantum droplets in a symmetric Bose-Bose mixture confined in a parabolic trap. We analyze ground and excited families of localized trapped modes that emerge from eigenstates of the quantum harmonic oscillator as the particle number varies. Nonlinear modes exhibit nonmonotonous behavior of chemical potential and bistability regions. Excited modes are unstable near the linear limit but become stable with increasing particle number. In the high-density limit, we obtain a modified Thomas-Fermi distribution. By smoothly reducing the trapping strength to zero, the ground state solution transforms into a soliton-like quantum droplet, while excited trapped states split into multiple moving quantum droplets.
Article
Physics, Fluids & Plasmas
A. V. Yulin, D. A. Zezyulin
Summary: In this study, we theoretically investigate bright and dark solitons in a hybrid system with strong light-matter coupling. The results show that the two-component model of the system supports various types of moving solitons, including bright solitons on zero and nonzero background, as well as dark-gray and gray-gray solitons. These solutions are derived analytically by reducing the two-component problem to a single stationary equation. All the found solutions coexist under the same set of model parameters and approach different branches of the polariton dispersion relation in the linear limit. While bright solitons on a constant-amplitude pedestal are unstable, half-topological dark-gray and nontopological gray-gray solitons are stable within certain parametric ranges below the modulational instability threshold.
Article
Physics, Fluids & Plasmas
Dmitry A. Zezyulin
Summary: This paper investigates a class of nonlinear Schrodinger-type problems that generalize Wadati potentials, by considering the dependence of the base function on both the transverse spatial coordinate and the amplitude of the field. Numerical study shows that the generalized model inherits the remarkable features of standard Wadati potentials.
Article
Materials Science, Multidisciplinary
I. A. Ado, Gulnaz Rakhmanova, Dmitry A. Zezyulin, Ivan Iorsh, M. Titov
Summary: This paper suggests a possible origin of noncollinear magnetic textures in ferromagnets with the D3h point group symmetry. The authors use symmetry analysis to identify the possible contribution to the free energy density and predict long-range conical magnetic spirals. They relate their predictions to recent experimental results.
Article
Optics
D. A. Zezyulin, S. A. Kolodny, O. V. Kibis, I. Tokatly, I. V. Iorsh
Summary: In this study, we developed a theory to explain electron scattering by a short-range repulsive potential in a cavity. We found that in the regime of ultrastrong electron coupling to the cavity electromagnetic field, the vacuum fluctuations of the field can stabilize a quasistationary polariton state confined in the core of the repulsive potential. When the energy of a free electron matches the energy of the confined state, a highly efficient resonant nonelastic scattering of the electron accompanied by emission of a cavity photon occurs. This effect can serve as a basis for potential sources of nonclassical light using free electrons.
Article
Physics, Multidisciplinary
H. C. Prates, D. A. Zezyulin, V. V. Konotop
Summary: This study considers a Bose-Einstein condensate loaded in a one-dimensional bichromatic optical lattice with constituent sublattices having incommensurate periods. The research shows that localized states are distributed nearly homogeneously and explores the versatility of such potentials. The superposition of symmetric and antisymmetric localized states is used to simulate various physical dynamical regimes, including those occurring in double-well and multi-well traps.
PHYSICAL REVIEW RESEARCH
(2022)
Article
Optics
Dmitry A. Zezyulin, Vladimir V. Konotop
Summary: We study a one-dimensional Hamiltonian system with artificial periodic spin-orbit coupling and Zeeman lattice with incommensurate periods. We find that in a superlattice with specific topological properties, localized states can appear even for small average values of the Zeeman field.