The Experts below are selected from a list of 297 Experts worldwide ranked by ideXlab platform
Haitao Liu - One of the best experts on this subject based on the ideXlab platform.
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Symmetry in the elementary scattering of surface plasmon polaritons and a generalized Symmetry Principle
Optics Letters, 2010Co-Authors: Haitao LiuAbstract:In the elementary scattering of surface plasmon polaritons (SPPs) at individual subwavelength (sub-λ) objects on metallic surfaces, the in-plane transmission and reflection of SPPs are shown to be two related scattering processes and to satisfy some novel Symmetry relations, provided that the objects are mirror symmetric and are narrow enough (<0.1λ approximately). To interpret these Symmetry relations, a new generalized Symmetry Principle for the scattered field is put forward, which is much less limited than the classical one and is shown to have wide applications for other sub-λ scattering problems.
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Symmetry in the elementary scattering of surface plasmon polaritons and a generalized Symmetry Principle
Optics letters, 2010Co-Authors: Haitao LiuAbstract:In the elementary scattering of surface plasmon polaritons (SPPs) at individual subwavelength (sub-λ) objects on metallic surfaces, the in-plane transmission and reflection of SPPs are shown to be two related scattering processes and to satisfy some novel Symmetry relations, provided that the objects are mirror symmetric and are narrow enough (
Wonho Jhe - One of the best experts on this subject based on the ideXlab platform.
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Curie’s Symmetry Principle for Selection Rule of Photonic Crystal Defect Modes
Plasmonics, 2018Co-Authors: Juliana Park, Wonyl Choi, Taesun Song, Wonho JheAbstract:Symmetry, which defines invariant properties under a group of transformations, provides a frame of generalization uncovering regularities from given quantitative descriptions. Based on the Curie’s Symmetry Principle, connecting between causality and Symmetry, we formulate the intuitive but formal selection rules and apply to determine the excitable resonant modes of a photonic crystal defect cavity, which is an important element for plasmonic applications. Quantitative agreement with the numerical simulations demonstrates the effectiveness of the fundamental Principle in finding the critical Symmetry conditions for the available localized defect states within photonic crystals. Moreover, the Principle facilitates analysis of the higher-order or even forbidden modes in the asymmetric excitation configurations regarding the polarizations or positions of the light source, which typically require heavy computations. Our results may be extended similarly to develop the qualitative selection rules in other physical systems with a geometric Symmetry.
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Curie's Symmetry Principle for Selection Rule of Photonic Crystal Defect Modes
Plasmonics, 2017Co-Authors: Juliana J. Park, Wonyl Choi, Taesun Song, Wonho JheAbstract:Symmetry, which defines invariant properties under a group of transformations, provides a frame of generalization uncovering regularities from given quantitative descriptions. Based on the Curie’s Symmetry Principle, connecting between causality and Symmetry, we formulate the intuitive but formal selection rules and apply to determine the excitable resonant modes of a photonic crystal defect cavity, which is an important element for plasmonic applications. Quantitative agreement with the numerical simulations demonstrates the effectiveness of the fundamental Principle in finding the critical Symmetry conditions for the available localized defect states within photonic crystals. Moreover, the Principle facilitates analysis of the higher-order or even forbidden modes in the asymmetric excitation configurations regarding the polarizations or positions of the light source, which typically require heavy computations. Our results may be extended similarly to develop the qualitative selection rules in other physical systems with a geometric Symmetry.
Gerardo Ortiz - One of the best experts on this subject based on the ideXlab platform.
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A Symmetry Principle for topological quantum order
Annals of Physics, 2009Co-Authors: Zohar Nussinov, Gerardo OrtizAbstract:Abstract We present a unifying framework to study physical systems which exhibit topological quantum order (TQO). The major guiding Principle behind our approach is that of symmetries and entanglement. These symmetries may be actual symmetries of the Hamiltonian characterizing the system, or emergent symmetries. To this end, we introduce the concept of low-dimensional Gauge-like symmetries (GLSs), and the physical conservation laws (including topological terms, fractionalization, and the absence of quasi-particle excitations) which emerge from them. We prove then sufficient conditions for TQO at both zero and finite temperatures. The physical engine for TQO are topological defects associated with the restoration of GLSs. These defects propagate freely through the system and enforce TQO. Our results are strongest for gapped systems with continuous GLSs. At zero temperature, selection rules associated with the GLSs enable us to systematically construct general states with TQO; these selection rules do not rely on the existence of a finite gap between the ground states to all other excited states. Indices associated with these symmetries correspond to different topological sectors. All currently known examples of TQO display GLSs. Other systems exhibiting such symmetries include Hamiltonians depicting orbital-dependent spin-exchange and Jahn–Teller effects in transition metal orbital compounds, short-range frustrated Klein spin models, and p+ip superconducting arrays. The Symmetry based framework discussed herein allows us to go beyond standard topological field theories and systematically engineer new physical models with finite temperature TQO (both Abelian and non-Abelian). Furthermore, we analyze the insufficiency of entanglement entropy (we introduce SU ( N ) Klein models on small world networks to make the argument even sharper), spectral structures, maximal string correlators, and fractionalization in establishing TQO. We show that Kitaev’s Toric code model and Wen’s plaquette model are equivalent and reduce, by a duality mapping, to an Ising chain, demonstrating that despite the spectral gap in these systems the toric operator expectation values may vanish once thermal fluctuations are present. This illustrates the fact that the quantum states themselves in a particular (operator language) representation encode TQO and that the duality mappings, being non-local in the original representation, disentangle the order. We present a general algorithm for the construction of long-range string and brane orders in general systems with entangled ground states; this algorithm relies on general ground states selection rules and becomes of the broadest applicability in gapped systems in arbitrary dimensions. We exactly recast some known non-local string correlators in terms of local correlation functions. We discuss relations to problems in graph theory.
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a Symmetry Principle for topological quantum order
arXiv: Strongly Correlated Electrons, 2007Co-Authors: Zohar Nussinov, Gerardo OrtizAbstract:We present a unifying framework to study physical systems which exhibit topological quantum order (TQO). The guiding Principle behind our approach is that of symmetries and entanglement. We introduce the concept of low-dimensional Gauge-Like Symmetries (GLSs), and the physical conservation laws (including topological terms and fractionalization) which emerge from them. We prove then sufficient conditions for TQO at both zero and finite temperatures. The topological defects which are associated with the restoration of GLSs lead to TQO. Selection rules associated with the GLSs enable us to systematically construct states with TQO; these selection rules do not rely on the existence of a finite gap between the ground states to all other excited states. All currently known examples of TQO display GLSs. We analyze spectral structures and show that Kitaev's toric code model and Wen's plaquette model are equivalent and reduce, by a duality mapping, to an Ising chain. Despite the spectral gap in these systems, the toric operator expectation values may vanish once thermal fluctuations are present. This mapping illustrates that the quantum states themselves in a particular (operator language) representation encode TQO and that the duality mappings, being non-local in the original representation, disentangle the order. We present a general algorithm for the construction of long-range string orders in general systems with entangled ground states.
Taesun Song - One of the best experts on this subject based on the ideXlab platform.
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Curie’s Symmetry Principle for Selection Rule of Photonic Crystal Defect Modes
Plasmonics, 2018Co-Authors: Juliana Park, Wonyl Choi, Taesun Song, Wonho JheAbstract:Symmetry, which defines invariant properties under a group of transformations, provides a frame of generalization uncovering regularities from given quantitative descriptions. Based on the Curie’s Symmetry Principle, connecting between causality and Symmetry, we formulate the intuitive but formal selection rules and apply to determine the excitable resonant modes of a photonic crystal defect cavity, which is an important element for plasmonic applications. Quantitative agreement with the numerical simulations demonstrates the effectiveness of the fundamental Principle in finding the critical Symmetry conditions for the available localized defect states within photonic crystals. Moreover, the Principle facilitates analysis of the higher-order or even forbidden modes in the asymmetric excitation configurations regarding the polarizations or positions of the light source, which typically require heavy computations. Our results may be extended similarly to develop the qualitative selection rules in other physical systems with a geometric Symmetry.
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Curie's Symmetry Principle for Selection Rule of Photonic Crystal Defect Modes
Plasmonics, 2017Co-Authors: Juliana J. Park, Wonyl Choi, Taesun Song, Wonho JheAbstract:Symmetry, which defines invariant properties under a group of transformations, provides a frame of generalization uncovering regularities from given quantitative descriptions. Based on the Curie’s Symmetry Principle, connecting between causality and Symmetry, we formulate the intuitive but formal selection rules and apply to determine the excitable resonant modes of a photonic crystal defect cavity, which is an important element for plasmonic applications. Quantitative agreement with the numerical simulations demonstrates the effectiveness of the fundamental Principle in finding the critical Symmetry conditions for the available localized defect states within photonic crystals. Moreover, the Principle facilitates analysis of the higher-order or even forbidden modes in the asymmetric excitation configurations regarding the polarizations or positions of the light source, which typically require heavy computations. Our results may be extended similarly to develop the qualitative selection rules in other physical systems with a geometric Symmetry.
Wonyl Choi - One of the best experts on this subject based on the ideXlab platform.
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Curie’s Symmetry Principle for Selection Rule of Photonic Crystal Defect Modes
Plasmonics, 2018Co-Authors: Juliana Park, Wonyl Choi, Taesun Song, Wonho JheAbstract:Symmetry, which defines invariant properties under a group of transformations, provides a frame of generalization uncovering regularities from given quantitative descriptions. Based on the Curie’s Symmetry Principle, connecting between causality and Symmetry, we formulate the intuitive but formal selection rules and apply to determine the excitable resonant modes of a photonic crystal defect cavity, which is an important element for plasmonic applications. Quantitative agreement with the numerical simulations demonstrates the effectiveness of the fundamental Principle in finding the critical Symmetry conditions for the available localized defect states within photonic crystals. Moreover, the Principle facilitates analysis of the higher-order or even forbidden modes in the asymmetric excitation configurations regarding the polarizations or positions of the light source, which typically require heavy computations. Our results may be extended similarly to develop the qualitative selection rules in other physical systems with a geometric Symmetry.
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Curie's Symmetry Principle for Selection Rule of Photonic Crystal Defect Modes
Plasmonics, 2017Co-Authors: Juliana J. Park, Wonyl Choi, Taesun Song, Wonho JheAbstract:Symmetry, which defines invariant properties under a group of transformations, provides a frame of generalization uncovering regularities from given quantitative descriptions. Based on the Curie’s Symmetry Principle, connecting between causality and Symmetry, we formulate the intuitive but formal selection rules and apply to determine the excitable resonant modes of a photonic crystal defect cavity, which is an important element for plasmonic applications. Quantitative agreement with the numerical simulations demonstrates the effectiveness of the fundamental Principle in finding the critical Symmetry conditions for the available localized defect states within photonic crystals. Moreover, the Principle facilitates analysis of the higher-order or even forbidden modes in the asymmetric excitation configurations regarding the polarizations or positions of the light source, which typically require heavy computations. Our results may be extended similarly to develop the qualitative selection rules in other physical systems with a geometric Symmetry.
