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Related papers: Compact localised states in magnonic Lieb lattices

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We study the condensation of exciton-polaritons in a two-dimensional Lieb lattice of micropillars. We show selective polariton condensation into the flatbands formed by S and P$_{x;y}$ orbital modes of the micropillars under non-resonant…

We demonstrate a nonradiative flat band for spoof surface plasmon polaritons bounded on a structured surface with Lieb lattice symmetry in the terahertz regime. First, we theoretically derive the dispersion relation of spoof plasmons in a…

We introduce a two-component one-dimensional system, which is based on two nonlinear Schr\"{o}dinger/Gross-Pitaevskii equations (GPEs) with spatially periodic modulation of linear coupling ("Rabi lattice") and self-repulsive nonlinearity.…

Quantum Gases · Physics 2017-03-29 Zhaopin. Chen , Boris. A. Malomed

Artificial lattices have been used as a platform to extend the application of topological physics beyond electronic systems. Here, using the two-dimensional Lieb lattice as a prototypical example, we show that an array of disks which each…

Mesoscale and Nanoscale Physics · Physics 2026-04-08 Sang Hyun Park , Michael Sammon , Eugene Mele , Tony Low

This paper investigates the dynamics of compact localized modes in one-dimensional flat-band elastic lattices. Flat dispersion arises from destructive interference between neighboring elements, resulting in a zero group velocity across all…

Applied Physics · Physics 2024-12-10 Emanuele Riva , Jacopo Marconi , Francesco Braghin

In the framework of magnonics all-optical femtosecond laser experiments are used to study spin waves and their relaxation paths. Magnonic crystal structures based on antidots allow the control over the spin-wave modes. In these…

Mesoscale and Nanoscale Physics · Physics 2012-08-28 Benjamin Lenk , Fabian Garbs , Henning Ulrichs , Nils Abeling , Markus Münzenberg

Flat bands and Dirac cones in materials are at the source of the exotic electronic and topological properties. The Lieb lattice is expected to host these electronic structures, arising from quantum destructive interference. Nevertheless,…

We present analytical and numerical study of photonic lattice with short- and long-range harmonic modulations of the refractive index. Such structures can be prepared experimentally with holographic photolithography. In the spectral region…

Optics · Physics 2009-11-13 Alexey G. Yamilov , Mark R. Herrera , Massimo F. Bertino

We develop a systematic analytical approach to study the linear and nonlinear solitary excitations of quasi-one-dimensional Bose-Einstein condensates trapped in an optical lattice. For the linear case, the Bloch wave in the $nth$ energy…

Other Condensed Matter · Physics 2009-11-13 D. L. Wang , X. H. Yan , W. M. Liu

We demonstrate that a flat-band state in a quasi-one-dimensional rhombic lattice is robust in the presence of external drivings along the lattice axis. The lattice was formed by periodic arrays of evanescently coupled optical waveguides,…

Optics · Physics 2017-06-06 Sebabrata Mukherjee , Robert R. Thomson

Flat bands (FB) are strictly dispersionless bands in the Bloch spectrum of a periodic lattice Hamiltonian, recently observed in a variety of photonic and dissipative condensate networks. FB Hamiltonians are finetuned networks, still lacking…

Mesoscale and Nanoscale Physics · Physics 2019-03-20 Wulayimu Maimaiti , Alexei Andreanov , Hee Chul Park , Oleg Gendelman , Sergej Flach

The engineering of localised modes in photonic structures is one of the main targets of modern photonics. An efficient strategy to design these modes is to use the interplay of constructive and destructive interference in periodic photonic…

Two-dimensional (2D) materials with a Lieb lattice can host exotic electronic band structures. Such a system does not exist in nature, and it is also difficult to obtain in the laboratory due to its structural instability. Here, we…

Materials Science · Physics 2020-04-22 Haifeng Feng , Chen Liu , Si Zhou , Nan Gao , Qian Gao , Jincheng Zhuang , Xun Xu , Zhenpeng Hu , Jiaou Wang , Lan Chen , Jijun Zhao , Yi Du

Gap solitons (GSs) bifurcating from flat bands, which may be represented in terms of Wannier functions, have garnered significant interest due to their strong localization with extremely small norms. Moir\'{e} lattices (MLs), with multiple…

Quantum Gases · Physics 2026-01-29 Jun-Tao He , Xue-Ping Cheng , Xin-Wei Jin , Hui-Jun Li , Ji Lin , Boris A. Malomed

We study self-trapped localized nonlinear states in the form of truncated Bloch waves in one-dimensional optical lattices, which appear in the gaps of the linear bandgap spectrum. We demonstrate the existence of families of such localized…

Atomic Physics · Physics 2015-05-13 Jiandong Wang , Jianke Yang , Tristram J. Alexander , Yuri S. Kivshar

Noncontractible loop states (NLSs) are recently realized topological entity in flatband lattices, arising typically from band touching at a point where a flat band intersects one or more dispersive bands. There exists also band touching…

A common wisdom about quantum many-body systems is that emergent phases typically fall into either the Landau-Ginzburg paradigm or topological classifications. Experimentally realizing the intertwined emergence of spontaneous symmetry…

Quantum Gases · Physics 2025-07-04 Lei Chen , Bei-Bei Wang , Jianmin Yuan , Long Zhang , Jinsen Han , Yongqiang Li

We report results of systematic analysis of various modes in the flatband lattice, based on the diamond-chain model with the on-site cubic nonlinearity, and its double version with the linear on-site mixing between the two lattice fields.…

Pattern Formation and Solitons · Physics 2017-08-02 Krzysztof B. Zegadlo , Nir Dror , Nguyen Viet Hung , Marek Trippenbach , Boris A. Malomed

We study experimentally light localization at phase-slip waveguides and at the intersection of phase-slips in a two-dimensional (2D) square photonic lattice. Such system allows to observe a variety of effects, including the existence of…

Pattern Formation and Solitons · Physics 2015-05-18 Alexander Szameit , Mario I. Molina , Matthias Heinrich , Felix Dreisow , Robert Keil , Stefan Nolte , Yuri S. Kivshar

We characterize spin-polarized lasing in a two-dimensional photonic lattice fabricated from a GaAs/InGaAs semiconductor microcavity sample. The lattice is defined by a staggered arrangement of rounded rectangular micrometric mesas that…