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Related papers: Flat-band compactons in a two-dimensional driven-d…

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Lieb lattice is one of the simplest bipartite lattices where compact localized states (CLS) are observed. This type of localisation is induced by the peculiar topology of the unit cell, where the modes are localized only on one sublattice…

Mesoscale and Nanoscale Physics · Physics 2023-09-13 Grzegorz Centała , Jarosław W. Kłos

Flat bands (FBs) are energy bands with zero group velocity, which in electronic systems were shown to favor strongly correlated phenomena. Indeed, a FB can be spanned with a basis of strictly localized states, the so called "compact…

Quantum Physics · Physics 2025-04-09 Enrico Di Benedetto , Alejandro Gonzalez-Tudela , Francesco Ciccarello

The specific topology of the line centered square lattice (known also as the Lieb lattice) induces remarkable spectral properties as the macroscopically degenerated zero energy flat band, the Dirac cone in the low energy spectrum, and the…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 M. Niţă , B. Ostahie , A. Aldea

We analyze the formation and dynamics of bright unstaggered solitons in the disk-shaped dipolar Bose-Einstein condensate, which features the interplay of contact (collisional) and long-range dipole-dipole (DD) interactions between atoms.…

Pattern Formation and Solitons · Physics 2015-05-14 Goran Gligorić , Aleksandra Maluckov , Milutin Stepić , Ljupčo Hadžievski , Boris A. Malomed

Dirac particles, massless relativistic entities, obey linear energy dispersions and hold important implication in particle physics. Recent discovery of Dirac fermions in condensed matter systems including graphene and topological insulators…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Na Young Kim , Kenichiro Kusudo , Andreas Loeffler , Sven Hoefling , Alfred Forchel , Yoshihisa Yamamoto

One of the recently established paradigms in condensed matter physics is examining a system's behaviour in artificially constructed potentials, giving insight into physical phenomena of quantum fluids in hard-to-reach settings. A prominent…

Mesoscale and Nanoscale Physics · Physics 2021-10-01 Sergey Alyatkin , Helgi Sigurdsson , Alexis Askitopoulos , Julian D. Töpfer , Pavlos G. Lagoudakis

We theoretically investigate the formation and dynamics of bright exciton-polariton solitons within systems engineered to support Bound States in the Continuum. By employing a driven-dissipative Gross-Pitaevskii equation coupled with a rate…

Other Condensed Matter · Physics 2026-05-21 Xingran Xu , Chunyu Jia

Bound states of two interacting particles moving on a lattice can exhibit remarkable features that are not captured by the underlying single-particle picture. Inspired by this phenomenon, we introduce a novel framework by which genuine…

Mesoscale and Nanoscale Physics · Physics 2020-03-24 Grazia Salerno , Giandomenico Palumbo , Nathan Goldman , Marco Di Liberto

We demonstrate experimentally the existence of compact localized states (CLSs) in a quasi-one-dimensional photonic rhombic lattice in presence of two distinct refractive-index gradients (i.e., a driven lattice ribbon) acting as external…

Driven-dissipative light-matter systems can exhibit collective nonequilibrium phenomena due to loss and gain processes on the one hand and effective photon-photon interactions on the other hand. As generic example we study a bosonic lattice…

Quantum Physics · Physics 2024-09-17 Arkadiusz Kosior , Karol Gietka , Farokh Mivehvar , Helmut Ritsch

The paper is devoted to the dynamics of dissipative gap solitons in the periodically corrugated optical waveguides whose spectrum of linear excitations contains a mode that can be referred to as a quasi-Bound State in the Continuum. These…

Optics · Physics 2021-12-08 D. Dolinina , A. Yulin

The dynamical behavior of matter wave solitons of two-component Bose-Einstein condensates (BEC) in combined linear and nonlinear optical lattices (OLs) is investigated. In particular, the dependence of the frequency of the oscillating…

Quantum Gases · Physics 2015-06-04 Golam Ali Sekh , Mario Salerno , Aparna Saha , Benoy Talukdar

Moir\'e lattices created in two-dimensional heterostructures exhibit rich many-body physics of interacting electrons and excitons and, at the same time, suggest promising optoelectronic applications. Here, we study the cooperative radiance…

Quantum Physics · Physics 2025-05-14 Jan Kumlin , Ajit Srivastava , Thomas Pohl

Flat-band systems are highly sensitive to external perturbations, providing a route to study unconventional localization, transport, and spin physics. Lieb lattice, a two-dimensional geometry with an inherent flat band, exemplifies this…

Quantum Gases · Physics 2025-08-29 Nana Chang , Xiaoji Zhou

We investigate two-dimensional (2D) states of Bose-Einstein condensates (BEC) with self-attraction or self-repulsion, trapped in an axially symmetric optical-lattice potential periodic along the radius. Unlike previously studied 2D models…

Other Condensed Matter · Physics 2009-09-13 Bakhtiyor B. Baizakov , Boris A. Malomed , Mario Salerno

We show experimentally how a non-diffracting state can be excited in a photonic Lieb lattice. This lattice supports three energy bands, including a perfectly flat middle band, which corresponds to an infinite effective mass with zero…

Kagome lattices supporting Dirac cone and flatband dispersions are well known as a highly frustrated, two-dimensional lattice system. Particularly the flatbands therein are attracting continuous interest based on their link to topological…

Flat-band topologies and localizations in non-interacting systems are extensively studied in different quantum and classical-wave systems. Recently, the exploration on the novel physics of flat-band localizations and topologies in…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 Xiaoqi Zhou , Weixuan Zhang , Houjun Sun , Xiangdong Zhang

Flat-band periodic materials are characterized by a linear spectrum containing at least one band where the propagation constant remains nearly constant irrespective of the Bloch momentum across the Brillouin zone. These materials provide a…

Pattern Formation and Solitons · Physics 2024-09-24 Shuang Shen , Yiqi Zhang , Yaroslav V. Kartashov , Yongdong Li , Vladimir V. Konotop

The exciton-polariton modes of a quantum dot lattice embedded in a planar optical cavity are theoretically investigated. Umklapp terms, in which an exciton interacts with many cavity modes differing by reciprocal lattice vectors, appear in…

Mesoscale and Nanoscale Physics · Physics 2012-05-16 E. M. Kessler , M. Grochol , C. Piermarocchi