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Scattering theory has been suggested as a convenient method to identify topological phases of matter, in particular of disordered systems for which the Bloch band-theory approach is inapplicable. Here we examine this idea, employing as a…

介观与纳米尺度物理 · 物理学 2024-03-14 Zhi-Hai Liu , O. Entin-Wohlman , A. Aharony , J. Q. You , H. Q. Xu

We report on the observation of a topologically protected edge state at the interface between two topologically distinct domains of the Su-Schrieffer-Heeger model, which we implement in arrays of evanescently coupled dielectric-loaded…

量子物理 · 物理学 2017-07-18 Felix Bleckmann , Zlata Cherpakova , Stefan Linden , Andrea Alberti

We recently proposed in a Letter [Physical Review Letters 108 255303] a novel scheme to detect topological edge states in an optical lattice, based on a generalization of Bragg spectroscopy. The scope of the present article is to provide a…

量子气体 · 物理学 2013-03-11 Nathan Goldman , Jerome Beugnon , Fabrice Gerbier

We consider the Su-Schrieffer-Heeger (SSH) chain, which has 0, 1, or 2 topological edge states depending on the ratio of the hopping parameters and the parity of the chain length. We couple a qubit to one edge of the SSH chain and a…

介观与纳米尺度物理 · 物理学 2023-09-21 Meri Zaimi , Christian Boudreault , Nouédyn Baspin , Nicolas Delnour , Hichem Eleuch , Richard MacKenzie , Michael Hilke

We propose a realistic scheme to detect topological edge states in an optical lattice subjected to a synthetic magnetic field, based on a generalization of Bragg spectroscopy sensitive to angular momentum. We demonstrate that using a…

量子气体 · 物理学 2012-06-26 Nathan Goldman , Jerome Beugnon , Fabrice Gerbier

We investigate the particle trapping and scattering properties in a tight-binding network which consists of several subgraphs. The particle trapping condition is proved under which particles can be trapped in a subgraph without leaking.…

量子物理 · 物理学 2010-05-20 L. Jin , Z. Song

We study the scattering resonances of one-dimensional deterministic aperiodic chains of electric dipoles using the vectorial Green's matrix method, which accounts for both short- and long-range electromagnetic interactions in open…

We investigate a system consisting of one or two topological-insulator leads which are tunnel coupled to a single dot level. The leads are described by the one-dimensional Su-Schrieffer-Heeger model. We show that (topological) edge states…

介观与纳米尺度物理 · 物理学 2022-03-18 Martin T. Maurer , Yen-Ting Lin , Dante M. Kennes , Mikhail Pletyukhov , Herbert Schoeller , Volker Meden

Symmetries -- whether explicit, latent, or hidden -- are fundamental to understanding topological materials. This work introduces a prototypical spring-mass model that extends beyond established canonical models, revealing topological edge…

介观与纳米尺度物理 · 物理学 2025-03-04 Udbhav Vishwakarma , Murthaza Irfan , Georgios Theocharis , Rajesh Chaunsali

The time evolution of a topological Su-Schrieffer-Heeger chain is analyzed through the statistics of speckle patterns. The emergence of topological edge states dramatically affects the dynamical fluctuations of the wavefunction. The…

Robust topological edge modes may evolve into complex-frequency modes when a physical system becomes non-Hermitian. We show that, while having negligible forward optical extinction cross section, a conjugate pair of such complex topological…

介观与纳米尺度物理 · 物理学 2016-12-02 C. W. Ling , Ka Hei Choi , T. C. Mok , Z. Q. Zhang , Kin Hung Fung

Topology is a central notion in the classification of band insulators and characterization of entangled many-body quantum states. In some cases, it manifests as quantized observables such as quantum Hall conductance. However, being…

强关联电子 · 物理学 2022-08-26 Sangjin Lee , Kyung-Hwan Jin , Byungmin Kang , B. J. Kim , Gil Young Cho

We analyze the topological and dynamical properties of a system formed by two chains of identical emitters coupled to a waveguide, whose guided modes induce all-to-all excitation hopping. We find that, in the single excitation limit, the…

量子物理 · 物理学 2022-09-21 Ciaran McDonnell , Beatriz Olmos

One of the fascinating topological phenomena is the end state in one dimensional system. In this work, the topological photonics in the dimer chains composed by the split ring resonators are revealed based on the Su-Schrieffer-Heeger model.…

光学 · 物理学 2018-05-23 Jun Jiang , Zhiwei Guo , Ya-qiong Ding , Yong Sun , Yunhui Li , Haitao Jiang , Hong Chen

In this work, we propose a novel qubit-based sensor with the ability to characterize topological edge states in low-dimensional systems. A composite system is studied, consisting of a qubit coupled to a topologically nontrivial…

介观与纳米尺度物理 · 物理学 2023-03-02 Nicolas Delnour , Alexei Bissonnette , Hichem Eleuch , Richard MacKenzie , Michael Hilke

With a generic lattice model for electrons occupying a semi-infinite crystal with a hard surface, we study the eigenstates of the system with a bulk band gap (or the gap with nodal points). The exact solution to the wave functions of…

强关联电子 · 物理学 2018-11-14 Xin-Zhong Yan , C. S. Ting

Symmetry-protected topological phases of matter, characterized by non-trivial band topology, are spectrally gapped and show non-trivial boundary phenomena. Here, we show that scattering states when interjected by an array of periodically…

介观与纳米尺度物理 · 物理学 2026-04-16 Rahul Singh , Ritajit Kundu , Arijit Kundu , Adhip Agarwala

Wave scattering structures with amplification and dissipation can be modelled by non-Hermitian systems, opening new ways to control waves at small length scales. In this work, we study the phenomenon of topologically protected edge states…

偏微分方程分析 · 数学 2020-06-11 Habib Ammari , Erik Orvehed Hiltunen

Robust states emerging at the boundary of a system constitute a hallmark for topological band structures. Other than in closed systems, topologically protected states can occur even in systems with a trivial band structure, if exposed to…

量子物理 · 物理学 2023-10-16 Helene Wetter , Michael Fleischhauer , Stefan Linden , Julian Schmitt

The vast majority of symmetry-protected topological (SPT) states are difficult to detect, which often leads to their misidentification as ordinary or topologically trivial phases. In this work, we propose a general framework for detecting…

强关联电子 · 物理学 2026-02-06 Zhe Wang , Longye Lu , Shang-Qiang Ning , Zenan Liu , Yan-Cheng Wang , Zheng Yan , Wenan Guo
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