By using C-mapping topological current theory and gauge potential decomposition, we discuss the self-dual equation and its solution in the SU（N） Dunne-Jackiw-Pi-Trugenberger model and obtain a new concrete self-dual...By using C-mapping topological current theory and gauge potential decomposition, we discuss the self-dual equation and its solution in the SU（N） Dunne-Jackiw-Pi-Trugenberger model and obtain a new concrete self-dual equation with a δ function. For the SU（3） case, we obtain a new self-duality solution and find the relationship between the soliton solution and topological number which is determined by the Hopf index and Brouwer degree of C-mapping. In our solution, the flux of this soliton is naturally quantized.展开更多
Using the Faddeev-Jackiw （FJ） quantization method, this paper treats the CP^1nonlinear sigma model with ChernSimons term. The generalized FJ brackets are obtained in the framework of this quantization method, which ...Using the Faddeev-Jackiw （FJ） quantization method, this paper treats the CP^1nonlinear sigma model with ChernSimons term. The generalized FJ brackets are obtained in the framework of this quantization method, which agree with the results obtained by using the Dirac＇s method.展开更多
Using a Gurevich-Krylov solution that describes the propagation of nonlinear magnetoacoustic waves in a cold plasma, we construct solutions of various other nonlinear systems. These include, for example, Madelung flui...Using a Gurevich-Krylov solution that describes the propagation of nonlinear magnetoacoustic waves in a cold plasma, we construct solutions of various other nonlinear systems. These include, for example, Madelung fluid, reaction diffusion, Broer-Kaup, Boussinesq, and Hamilton-Jacobi-Bellman systems. We also construct dilaton field solutions for a Jackiw-Teitelboim black hole with a negative cosmological constant. The black hole metric corresponds to a cold plasma metric by way of a change of variables, and the plasma dilatons and cosmological constant also have an expression in terms of parameters occurring in the Gurevich-Krylov solution. A dispersion relation, moreover, links the magnetoacoustic system and a resonance nonlinear Schr<span style="white-space:nowrap;">ö</span>dinger equation.展开更多
Beam shaping in nanophotonic systems remains a challenge due to the reliance on complex heuristic optimization procedures.In this work,we experimentally demonstrate a novel approach to topological beam shaping using J...Beam shaping in nanophotonic systems remains a challenge due to the reliance on complex heuristic optimization procedures.In this work,we experimentally demonstrate a novel approach to topological beam shaping using Jackiw-Rebbi states in metasurfaces.By fabricating thin-film dielectric structures with engineered Dirac-mass distributions,we create domain walls that allow precise control over beam profiles.We observe the emergence of Jackiw-Rebbi states and confirm their localized characteristics.Notably,we achieve a flat-top beam profile by carefully tailoring the Diracmass distribution,highlighting the potential of this method for customized beam shaping.This experimental realization establishes our approach as a new mechanism for beam control,rooted in topological physics,and offers an efficient strategy for nanophotonic design.展开更多
基金Supported by Talent Introduction Project of Xianyang Normal University (07XSYK217)
文摘By using C-mapping topological current theory and gauge potential decomposition, we discuss the self-dual equation and its solution in the SU（N） Dunne-Jackiw-Pi-Trugenberger model and obtain a new concrete self-dual equation with a δ function. For the SU（3） case, we obtain a new self-duality solution and find the relationship between the soliton solution and topological number which is determined by the Hopf index and Brouwer degree of C-mapping. In our solution, the flux of this soliton is naturally quantized.
文摘Using the Faddeev-Jackiw （FJ） quantization method, this paper treats the CP^1nonlinear sigma model with ChernSimons term. The generalized FJ brackets are obtained in the framework of this quantization method, which agree with the results obtained by using the Dirac＇s method.
文摘Using a Gurevich-Krylov solution that describes the propagation of nonlinear magnetoacoustic waves in a cold plasma, we construct solutions of various other nonlinear systems. These include, for example, Madelung fluid, reaction diffusion, Broer-Kaup, Boussinesq, and Hamilton-Jacobi-Bellman systems. We also construct dilaton field solutions for a Jackiw-Teitelboim black hole with a negative cosmological constant. The black hole metric corresponds to a cold plasma metric by way of a change of variables, and the plasma dilatons and cosmological constant also have an expression in terms of parameters occurring in the Gurevich-Krylov solution. A dispersion relation, moreover, links the magnetoacoustic system and a resonance nonlinear Schr<span style="white-space:nowrap;">ö</span>dinger equation.
基金supported by the Leader Researcher Program(NRF-2019R1A3B2068083)The National Research Facilities and Equipment Center(NFEC)at the Ministry of Science and ICT Support from the supporting project for advancement of leading research facilities(PG2023003-03)the quantum computing technology development program of the Quantum Information Research Support Center,funded through the National research foundation of Korea(2020M3H3A1110365).
文摘Beam shaping in nanophotonic systems remains a challenge due to the reliance on complex heuristic optimization procedures.In this work,we experimentally demonstrate a novel approach to topological beam shaping using Jackiw-Rebbi states in metasurfaces.By fabricating thin-film dielectric structures with engineered Dirac-mass distributions,we create domain walls that allow precise control over beam profiles.We observe the emergence of Jackiw-Rebbi states and confirm their localized characteristics.Notably,we achieve a flat-top beam profile by carefully tailoring the Diracmass distribution,highlighting the potential of this method for customized beam shaping.This experimental realization establishes our approach as a new mechanism for beam control,rooted in topological physics,and offers an efficient strategy for nanophotonic design.
