Article
Mathematics, Applied
D. A. Zezyulin, A. O. Slobodyanyuk, G. L. Alfimov
Summary: The study investigates continuous families of nonlinear stationary modes in the nonlinear Schrodinger equation with an external complex potential, specifically introducing the concept of W-dW potentials. The research indicates the presence of pseudo-modes in this scenario, while authentic nonlinear modes are not continuous but exist as isolated points.
STUDIES IN APPLIED MATHEMATICS
(2022)
Article
Optics
Pritam Pai, Jeroen Bosch, Matthias Kuhmayer, Stefan Rotter, Allard P. Mosk
Summary: The researchers introduced a new set of optical states called "scattering invariant modes", which have the same transmitted field pattern whether they scatter through a disordered sample or propagate ballistically through a homogeneous medium. These modes are weakly attenuated in dense scattering media and can be used to improve imaging inside scattering materials by correlating with ballistic light in simulations.
Article
Optics
Yuzhou G. N. Liu, Yunxuan Wei, Omid Hemmatyar, Georgios G. Pyrialakos, Pawel S. Jung, Demetrios N. Christodoulides, Mercedeh Khajavikhan
Summary: Connectivity is crucial in determining the function, dynamics, and resiliency of a network across different systems. In the realm of non-Hermitian physics, complex and asymmetric exchange interactions have been shown to lead to novel behaviors. In this work, active optical oscillators with non-Hermiticity and nonlinearity are used to realize an anisotropic exchange between resonant elements, enabling the observation of the non-Hermitian skin effect and phase locking in a Hatano-Nelson laser array.
LIGHT-SCIENCE & APPLICATIONS
(2022)
Article
Physics, Multidisciplinary
Miguel Castillo-Celeita, Alonso Contreras-Astorga, David J. C. Fernandez
Summary: This work examines monolayer graphene in external electromagnetic fields using the Dirac equation and minimal coupling. By applying supersymmetric quantum mechanics, new Dirac equations with modified magnetic fields have been constructed. Through complex factorization energies and iterative methods, Hermitian graphene Hamiltonians have been obtained and compared with matrix supersymmetric quantum mechanics approach.
EUROPEAN PHYSICAL JOURNAL PLUS
(2022)
Article
Automation & Control Systems
Arnau Doria-Cerezo, Josep M. Olm, Domingo Biel, Enric Fossas
Summary: This article extends sliding mode theory to nonlinear systems described by complex-valued variables, showing that the proposed design in the complex-valued framework results in shorter reaching times to the sliding manifold. Different implementation approaches are evaluated and numerical examples illustrate the proposal.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2021)
Article
Computer Science, Artificial Intelligence
Kutalmi Coskun, Borahan Tumer
Summary: Modeling and analysis of dynamic systems are crucial for addressing complex real-world problems. This paper proposes a stochastic learning method that can handle non-stationarity and detect changes in stability using a statistical model. Experimental results demonstrate the effectiveness of this method in different types of drifts.
PATTERN RECOGNITION
(2022)
Article
Engineering, Mechanical
Xingpei Wu, Jiankang Huang, Jing He, Shien Liu, Guangyin Liu, Ding Fan
Summary: Researchers have utilized a three-dimensional laser vision method to monitor the oscillation mode of a weld pool, and employed the Bessel equation for analysis. Experimental results have shown that laser dot matrix images are crucial for identifying the oscillation mode of a weld pool.
CHINESE JOURNAL OF MECHANICAL ENGINEERING
(2021)
Article
Multidisciplinary Sciences
Christoph Schran, Fabian L. Thiemann, Patrick Rowe, Erich A. Muller, Ondrej Marsalek, Angelos Michaelides
Summary: The study introduces a machine learning framework for developing and validating models for complex aqueous systems efficiently through a data-driven active learning protocol. The approach is applied to diverse aqueous systems and evaluated with an automated validation protocol for accuracy and precision of force prediction.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2021)
Article
Engineering, Mechanical
Adam Jablonski, Kajetan Dziedziech
Summary: The Intelligent Spectrogram is introduced as a general tool for analyzing non-stationary signals, based on a self-tuning mechanism for optimal window length. It calculates coefficients of variation for time and frequency scales, finding extremum value of their product, serving as an auxiliary tool for complex non-stationary signals.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2022)
Article
Microbiology
Ravikumar R. Patel, Prem P. Kandel, Eboni Traverso, Kevin L. Hockett, Lindsay R. Triplett
Summary: This study identifies different metabolic states associated with antibiotic persistence, tailocin persistence, and loss of virulence. It demonstrates that tailocin is highly effective in eliminating dormant cells. Combination treatment was effective in killing both types of persisters. The research will inform the search for mechanisms and markers for each phenotype.
Article
Optics
Nan Zhang, Ya Yan Lu
Summary: This study examines complex modes in open optical waveguides, focusing on circular fibers and silicon waveguides. By studying the formation mechanism and calculating dispersion relations, the research provides insight into the existence and properties of complex modes, filling a gap in optical waveguide theory.
Correction
Optics
Pritam Pai, Jeroen Bosch, Matthias Kuhmayer, Stefan Rotter, Allard P. Mosk
Summary: A correction to the paper has been published.
Article
Nanoscience & Nanotechnology
Clement Majorel, Adelin Patoux, Ana Estrada-Real, Bernhard Urbaszek, Christian Girard, Arnaud Arbouet, Peter R. Wiecha
Summary: The approach combines exact multipole decomposition with the concept of a generalized field propagator to calculate the exact multipole decomposition for any illumination, allowing for the calculation of total density of multipole modes and optimum illumination field distributions. This formalism is significant for various applications in nano-optics.
Article
Physics, Multidisciplinary
Avanish Kumar, Itamar Procaccia, Murari Singh
Summary: A study of a generic atomistic model of a glass former reveals at least two types of Quasi-Localized Modes (QLMs), each with a different density of states dependent on frequency as ω(3) and ω(4). The properties of the glassy energy landscape responsible for these modes are analyzed, explaining the creation of at least two families of QLMs based on analytic features. It is argued that these QLMs are not related to possibly existing Two-Level Systems (TLS) when diagonalizing the Hessian matrix.
Article
Engineering, Electrical & Electronic
Qin Shi, Qing-Xin Chu, Mei-Zhen Xiao, Fu-Chang Chen, Xue-Quan Huang, Xiao He
Summary: This article presents a novel method for measuring the dielectric constant and loss tangent of dielectric substrates. Four resonant modes of the rectangular resonant cavity, TE101, TE105, TE109, and TE1015, are utilized for multiband measurement from 0.9 to 10 GHz. Additional slots are introduced to reduce the quality factor of some miscellaneous modes, making the working modes more obvious and convenient for extraction. Modified formulas are deduced based on traditional perturbation formulas, considering the sinusoidal field distribution in the sample, to obtain more accurate results. An experimental resonant cavity is fabricated and measured to demonstrate the effectiveness of the proposed method.
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT
(2023)
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.
