Article
Nanoscience & Nanotechnology
Kalani Moore, Ursel Bangert, Michele Conroy
Summary: Advancements in electron microscopy have allowed for the exploration of the complex nature of ferroelectric topological defects, observing changes in polarization, chemical composition, charge density, and strain. Current achievements include mapping the 3D nature of ferroelectric polar skyrmions and in situ biasing. The research focuses on understanding the fundamental physics and dynamics of domain wall and polar vortex formation in ferroelectrics.
Article
Astronomy & Astrophysics
D. Bazeia, M. A. Liao, M. A. Marques
Summary: In this study, a Maxwell-Higgs system is coupled to a neutral scalar field with Z(2) symmetry, and the field equations at critical coupling are identified with those of an impurity-doped Maxwell-Higgs model. The impurity's form changes according to properties of the neutral scalar field, allowing for an interpretation of impurity parameters in terms of kink-like defects and a convenient way to generate impurities. Novel vortices with unique internal structures were found by solving the first order equations, and the procedure was adapted for impurity generation in the Chern-Simons-Higgs theory.
Article
Mathematics, Applied
Ke Jin, Zifei Shen, Lushun Wang
Summary: This paper investigates the locations and interaction of spikes for the ground states of a Schrodinger system with linearly coupled terms under Dirichlet or Neumann boundary conditions, utilizing the variation method, maximum principle, and blow up technique.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Mathematics, Applied
Ke Jin, Lushun Wang
Summary: In this paper, a linearly coupled Schrodinger system is studied, and new synchronized solutions with more complex concentration structure are constructed using the Lyapunov-Schmidt reduction method under certain decay assumptions at infinity.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2023)
Article
Mathematics
Yanhao Ren, Qiang Luo, Wenlian Lu
Summary: This paper proposes methods to analyze the synchronization stability of stochastic linearly coupled differential equation systems with signal-dependent noise perturbation. We consider the common occurrence of signal-dependent noise in many fields and discuss the stability of the synchronization manifold of multiagent systems and linearly coupled nonlinear dynamical systems under sufficient conditions. Numerical simulations are conducted, demonstrating the effectiveness of the theorems.
Article
Mathematics, Applied
Ke Jin, Zifei Shen, Lushun Wang
Summary: In this paper, a linearly coupled Schrodinger system is considered, and a positive synchronized solution is constructed using the Lyapunov-Schmidt reduction method for sufficiently small ε and some λ near 1. It is also shown that the problem has exactly O(ε^(-3)) many positive synchronized solutions.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
(2021)
Article
Multidisciplinary Sciences
Marcela Giraldo, Quintin N. Meier, Amade Bortis, Dominik Nowak, Nicola A. Spaldin, Manfred Fiebig, Mads C. Weber, Thomas Lottermoser
Summary: The article discusses the microscopic magnetoelectric coupling mechanism in magnetically induced ferroelectrics with separately emerging magnetic and ferroelectric order, demonstrating a strong coupling phenomenon and uncommon types of topological defects in the material.
NATURE COMMUNICATIONS
(2021)
Article
Engineering, Electrical & Electronic
Zhongchang Liu
Summary: This brief study addresses the cluster synchronization problem in networks of linearly coupled systems with nonidentical dynamical system models in different clusters. By proposing a distributed adaptive law to update the intra-cluster coupling strengths, scalability and reconfigurability of networks are ensured. The results show that this method is applicable to both generic linear systems with partial-state coupling and nonlinear oscillators with full-state coupling.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2022)
Article
Multidisciplinary Sciences
Adeel Y. Abid, Yuanwei Sun, Xu Hou, Congbing Tan, Xiangli Zhong, Ruixue Zhu, Haoyun Chen, Ke Qu, Yuehui Li, Mei Wu, Jingmin Zhang, Jinbin Wang, Kaihui Liu, Xuedong Bai, Dapeng Yu, Xiaoping Ouyang, Jie Wang, Jiangyu Li, Peng Gao
Summary: This study successfully uncovered previously unrecognized polar antivortices in SrTiO3 within PbTiO3/SrTiO3 superlattices, expanding the understanding of topological structures. It was revealed that the driving force for antivortex formation is electrostatic rather than elastic, demonstrating potentially significant implications for the manipulation of polar textures.
NATURE COMMUNICATIONS
(2021)
Article
Mathematics
Ying-Chieh Lin, Kuan-Hsiang Wang, Tsung-Fang Wu
Summary: In this study, we investigate a linearly coupled Schrodinger system and establish the existence of positive ground states under suitable assumptions and by using variational methods. We also relax some of the conditions and provide some results on the existence of positive ground states to a linearly coupled Schrodinger system in a bounded domain.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2024)
Article
Chemistry, Multidisciplinary
Zijian Hong, Sujit Das, Christopher Nelson, Ajay Yadav, Yongjun Wu, Javier Junquera, Long-Qing Chen, Lane W. Martin, Ramamoorthy Ramesh
Summary: Controlling domain formation in ferroelectric materials at the nanoscale is crucial for exploring emergent phenomena and technological prospects. Polar vortices can play a similar role as ferroelectric domain walls, but with the ability to accommodate charged domains, making them reversible under an external applied field.
Article
Materials Science, Ceramics
Mojca Otonicar, Mirela Dragomir, Tadej Rojac
Summary: This article highlights the importance of domain walls in ferroelectric and relaxor-based oxide ceramics and discusses their impact on material properties. By studying the dynamics of domain walls, insights into the design and application of these materials can be gained.
JOURNAL OF THE AMERICAN CERAMIC SOCIETY
(2022)
Article
Physics, Multidisciplinary
Natascha Hedrich, Kai Wagner, Oleksandr V. Pylypovskyi, Brendan J. Shields, Tobias Kosub, Denis D. Sheka, Denys Makarov, Patrick Maletinsky
Summary: The study demonstrated manipulation and interaction of antiferromagnetic domain walls using isolated 180 degree domain walls in a single crystal of Cr2O3, proposing a memory architecture based on topographically defined antiferromagnetic domain walls. These results advance the understanding of domain wall mechanics in antiferromagnets.
Article
Mathematics, Interdisciplinary Applications
Wancheng Hu, Yibin Zhang, Rencai Ma, Qionglin Dai, Junzhong Yang
Summary: This paper introduces both the significance of reservoir computing and the achievement of complete synchronization in reservoir computers based on coupling theory. The validity of the theory is verified through numerical experiments.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Applied
Amandine Aftalion, Alberto Farina, Luc Nguyen
Summary: In this study, the system leading to phase segregation in two-component Bose-Einstein condensates was generalized to hyperfine spin states with a Rabi term coupling. Domain wall solutions with a monotone structure were found for a non-cooperative system, and the moving plane method was used to prove the monotonicity and one-dimensionality of the phase transition solutions. Unique one-dimensional solutions up to translations were derived, and it was proven that no non-constant solutions can exist when the Rabi coefficient is large.
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
(2021)
Article
Multidisciplinary Sciences
Xiuye Liu, Boris A. Malomed, Jianhua Zeng
Summary: This study investigates the existence, shapes, and stability of solitons supported by lattice potentials in fractional space. Numerical methods and analytical approximations are employed to obtain various results, including the construction of 1D and 2D gap solitons and the verification of stability for vortex solitons.
ADVANCED THEORY AND SIMULATIONS
(2022)
Article
Optics
Yinghua Liu, Boping Xu, Bingying Lei, Simeng Liu, Jing Wang, Jianhua Zeng, Yishan Wang, Yixiang Duan, Wei Zhao, Jie Tang
Summary: In this study, conical cavities were used to enhance the signal intensity, signal-to-noise ratio, and signal stability of laser-induced breakdown spectroscopy. It was found that conical cavities are superior to cylindrical cavities in improving LIBS performance, with emission enhancement attributed to an increase in plasma temperature and electron number density. The efficiencies of conical cavities in suppressing total number density fluctuation were determined for the first time to evaluate signal stability.
APPLIED PHYSICS B-LASERS AND OPTICS
(2022)
Article
Mathematics, Interdisciplinary Applications
Xiuye Liu, Jianhua Zeng
Summary: Dark solitons, localized nonlinear waves, have attracted significant attention due to their rich formation and dynamics in various fields. In this study, a purely nonlinear strategy is used to stabilize dark soliton stripes by introducing a quasi-one-dimensional Gaussian-like trap and combining it with an external linear harmonic trap. The results demonstrate complete stabilization of dark soliton stripes and a significant reduction in modulational instability.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Interdisciplinary Applications
Jiawei Li, Yanpeng Zhang, Jianhua Zeng
Summary: This study investigates the existence and stability of dark gap solitons in one-dimensional periodic nonlinear media with second-order and fourth-order dispersions. The research finds that the stability of solitons is significantly affected by normal and anomalous fourth-order dispersion.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Physics, Multidisciplinary
Zhiming Chen, Xiuye Liu, Jianhua Zeng
Summary: Electromagnetically induced moire optical lattices, generated in a three-level coherent atomic gas using electromagnetically induced transparency, have attracted significant interest recently. By changing the twisted angle and relative strength between two constitutive sublattices, extremely flattened moire Bloch bands can always appear, resembling the typical flat-band and moire physics found in other contexts. The dynamics of light propagation in the induced periodic structures demonstrate unique linear localization and delocalization properties. The predicted moire optical lattices and flattened bands can be observed in a Rubidium atomic medium.
FRONTIERS OF PHYSICS
(2022)
Article
Multidisciplinary Sciences
Jiawei Li, Yanpeng Zhang, Jianhua Zeng
Summary: The emergence and expansion of parity-time (PT)-symmetric systems in various physical fields have been observed in the past decades, despite being non-Hermitian, they exhibit completely real spectra. While the exploration of nonlinear waves in low-dimensional PT-symmetric non-Hermitian systems has been extensive, understanding these systems in higher dimensions is still difficult. This study surveys matter-wave nonlinear gap modes of Bose-Einstein condensates in three-dimensional PT optical lattices with repulsive interparticle interactions, focusing on multidimensional gap solitons and vortices. Through theoretical and numerical simulations, stability and instability areas of localized modes within the linear band gap spectra are investigated. The study provides a deep and consistent understanding of the formation, structural property, and dynamics of coherent localized matter waves supported by PT optical lattices in multidimensional space, which opens up possibilities for exploring and stabilizing three-dimensional localized gap modes in non-Hermitian systems.
Article
Mathematics, Interdisciplinary Applications
Xiuye Liu, Jianhua Zeng
Summary: In this study, the formation, properties, and dynamics of matter-wave structures in one-dimensional LHY quantum fluids are analyzed and numerically simulated. The findings are significant for quantum-gas experiments, providing new insights into low-dimensional LHY physics.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Interdisciplinary Applications
Si-Liu Xu, Yun-Bin Lei, Jin-Ting Du, Yuan Zhao, Rui Hua, Jian-Hua Zeng
Summary: This article examines the three-dimensional self-trapped modes in spinor Bose-Einstein condensates with spin-orbit coupling and discusses the effects of nonlinearity and SOC on their characteristics. Through analysis and simulations, the stability of these states is demonstrated. This study opens up new possibilities for creating multidimensional solitary waves.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Optics
Jiawei Li, Jianhua Zeng, Feng Li, Yanpeng Zhang, Yin Cai
Summary: In this paper, an all-optically controlled scheme for generating three-mode bright quantum correlated beams is proposed using energy-level cascaded four-wave mixing. Various permutations of two- and three-mode quadrature squeezing can be generated and optimized by modulating the ratio of the multiple seeds, providing a reconfigurable and integrated strategy for complex quantum information processing and quantum metrology.
Article
Optics
Xiuye Liu, Jianhua Zeng
Summary: This study theoretically investigates the phenomenon of nonlinear wave localizations in PT symmetric moire optical lattices. Different types of localized gap modes and their stabilization mechanisms are explored, including fundamental and higher-order gap solitons as well as vortical ones with topological charge. The stability regions of localized gap modes are examined through linear-stability analysis and direct perturbance simulations. This research provides an insightful understanding of soliton physics in combined versatile platforms of PT symmetric systems and moire patterns.
PHOTONICS RESEARCH
(2023)
Article
Physics, Multidisciplinary
Shu Zhou, Jianhua Zeng, Yali Qin
Summary: We investigate the existence and stability of localized gap states at a non-linear interface of non-linear fractional systems in a one-dimensional photonic lattice. We obtain the stability of the asymmetric localized gap states in the first and second finite gaps through direct numerical simulations and linear stability analysis. Our theoretical results provide insights into soliton physics in non-linear periodic systems with fractional-order diffraction, showing that the power of the localized gap states decrease gradually with the increase of propagation constant and the non-linear landscape.
FRONTIERS IN PHYSICS
(2023)
Article
Mathematics, Interdisciplinary Applications
Xiuye Liu, Jianhua Zeng
Summary: This article introduces the nonlinear localization of dense Bose-Einstein condensates (BECs) in a novel two-dimensional twisted periodic potential called Moire optical lattices, which bridge the gap between perfect optical lattices and aperiodic ones. The Moire optical lattices display wider second gaps and flat-band features, and support localized matter-wave structures like gap solitons and topological states within the finite gaps of the linear Bloch-wave spectrum. These localized structures have wide stability regions and can be readily implemented with currently available optical-lattice techniques.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Interdisciplinary Applications
Zhiming Chen, Zexing Wu, Jianhua Zeng
Summary: The search for three-dimensional spatiotemporal solitons has become a hot topic in nonlinear physics. This study investigates the formation and stability properties of light gap bullets in periodic media with defocusing nonlinearity. The results show that these light gap bullets, which exist within finite band gaps, can be stable under certain conditions.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Materials Science, Multidisciplinary
Jiawei Li, Yanpeng Zhang, Jianhua Zeng
Summary: Optical lattices and Feshbach resonance management are powerful techniques for studying Bose-Einstein condensates. This study combines these techniques to investigate the formation and dynamics of 3D nonlinear localized gap modes, providing important insights into soliton physics in multidimensional space.
ADVANCED PHOTONICS RESEARCH
(2022)
Article
Nanoscience & Nanotechnology
Zhiming Chen, Jianhua Zeng
Summary: This study theoretically and numerically investigates the formation, properties, and dynamics of matter-wave localized gap modes in a one-dimensional nanoscale darkstate optical lattice. It reveals that localized modes in deeply subwavelength adiabatic lattices exhibit a cusplike mode, contrary to previously reported results in conventional deep optical lattices.