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Recently, monatomic chains on surfaces have been synthesized which show evidence of Luttinger liquid physics. The experimental data point to a dispersion along the chain with four Fermi points. Here we investigate a general low-energy…

Strongly Correlated Electrons · Physics 2013-12-02 N. Sedlmayr , P. Korell , J. Sirker

A novel regime of atom-cavity physics is explored, arising when large atom samples dispersively interact with high-finesse optical cavities. A stable far detuned optical lattice of several million rubidium atoms is formed inside an optical…

Quantum Physics · Physics 2009-11-11 Julian Klinner , Malik Lindholdt , Boris Nagorny , Andreas Hemmerich

Systems describing the long-range interaction between individuals have attracted a lot of attention in the last years, in particular in relation with living systems. These systems are quadratic, written under the form of transport equations…

Analysis of PDEs · Mathematics 2023-06-13 Marie Doumic , Sophie Hecht , Benoit Perthame , Diane Peurichard

By this Comment we would like to point out [2] that, though such consideration can be quite sophisticated, the consideration of a spin-pseudo-spin Hamiltonian has nothing in common with the reality. It means that such the consideration are…

Strongly Correlated Electrons · Physics 2007-05-23 R. J. Radwanski , Z. Ropka

Integrated optics has brought unprecedented levels of stability and performance to quantum photonic circuits. However, integrated devices are not merely micron-scale equivalents of their bulk-optics counterparts. By exploiting the…

Optics · Physics 2016-02-24 Ryan P. Marchildon , Amr S. Helmy

We consider translationally invariant tight-binding all-bands-flat networks which lack dispersion. In a recent work [arXiv:2004.11871] we derived the subset of these networks which preserves nonlinear caging, i.e. keeps compact excitations…

Quantum Gases · Physics 2021-08-25 Carlo Danieli , Alexei Andreanov , Thudiyangal Mithun , Sergej Flach

This study investigates the atomistic spin system in $\rm CrCl_{3}$, which exhibits topologically nontrivial meron structures within its layered hexagonal lattice framework. We analyze the complete model of discrete spin dynamics on a…

Mathematical Physics · Physics 2024-07-19 Mengjia Bai , Jingrun Chen , Zhiwei Sun , Yun Wang

We show, theoretically and experimentally, the existence of a multi-stable regime in a nonlinear saturable coupler. In spite of its simplicity, we found that this model shows generic and fundamental properties of extended saturable…

Curt McMullen showed that every compact orbit for the action of the diagonal group on the space of lattices contains a well-rounded lattice. We extend this to all closed orbits.

Dynamical Systems · Mathematics 2014-05-23 Michael Levin , Uri Shapira , Barak Weiss

Using group theory arguments, we demonstrate that, unlike in homogeneous media, no symmetric vortices of arbitrary order can be generated in two-dimensional (2D) nonlinear systems possessing a discrete-point symmetry. The only condition…

Pattern Formation and Solitons · Physics 2009-11-10 Albert Ferrando , Mario Zacares , Miguel-Angel Garcia-March

We study the complex band hybridization induced by nonreciprocal local resonances in photonic crystals. Composed of trimer unit cells, a two-dimensional (2D) magnetophotonic crystal with an analytically obtainable solution is considered. We…

Bound states in the continuum (BICs), which are confined optical modes exhibiting infinite quality factors and carrying topological polarization configurations in momentum space, have recently sparked significant interest across both…

Optics · Physics 2024-07-23 Xingqi Zhao , Jiajun Wang , Wenzhe Liu , Zhiyuan Che , Xinhao Wang , C. T. Chan , Lei Shi , Jian Zi

We show how dispersionless channels exhibiting perfect spin-momentum locking can arise in a 1D lattice model. While such spectra are forbidden by fermion doubling in static 1D systems, here we demonstrate their appearance in the…

Quantum Gases · Physics 2017-03-10 Jan Carl Budich , Ying Hu , Peter Zoller

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

In electronic band structures, nodal lines may arise when two (or more) bands contact and form a one-dimensional manifold of degeneracy in the Brillouin zone. Around a nodal line, the dispersion for the energy difference between the bands…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Zhi-Ming Yu , Weikang Wu , Xian-Lei Sheng , Y. X. Zhao , Shengyuan A. Yang

We review the design, theory, and applications of two dimensional periodic lattices hosting conical intersections in their energy-momentum spectrum. The best known example is the Dirac cone, where propagation is governed by an effective…

Optics · Physics 2016-06-01 Daniel Leykam , Anton S. Desyatnikov

Interacting binaries consist of a secondary star which fills or is very close to filling its Roche lobe, resulting in accretion onto the primary star, which is often, but not always, a compact object. In many cases, the primary star,…

Nonlinear optical responses are becoming increasingly relevant for characterizing the symmetries and quantum geometry of electronic phases in materials. Here, we develop an expanded diagrammatic scheme for calculating spatially dispersive…

Mesoscale and Nanoscale Physics · Physics 2023-08-16 Steven Gassner , Eugene J. Mele

It was proved in \cite{NS1} that obstacles $K$ in $\R^d$ that are finite disjoint unions of strictly convex domains with $C^3$ boundaries are uniquely determined by the travelling times of billiard trajectories in their exteriors and also…

Dynamical Systems · Mathematics 2019-10-11 Lyle Noakes , Luchezar Stoyanov

This paper is the first of a series of three dedicated to a proof of the Arnold diffusion conjecture for perturbations of {convex} integrable Hamiltonian systems on $\mathbb{A}^3=\mathbb{T}^3\times \mathbb{R}^3$. We consider systems of the…

Dynamical Systems · Mathematics 2016-02-09 Jean-Pierre Marco
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