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In this paper, we review the basic concepts of topologically protected edge modes using the Su Schrieffer Heeger (SSH) model, originally introduced to describe electrical conductivity in doped polyacetylene polymer chains. We then propose…

Mesoscale and Nanoscale Physics · Physics 2026-02-04 L. Q. English , A. Halchenko , F. Palmero

Topological insulator lie at the forefront of condensed matter physics. However strong disorder can destroy the topological states and make all states become localized. In this paper, we investigate the competition between topology and…

Mesoscale and Nanoscale Physics · Physics 2023-05-05 Xin Guan , Gang Chen

Bound states in the continuum, originally proposed within the framework of quantum mechanics, have since been observed in a variety of physical contexts, including electromagnetism, acoustics, and optics. Of particular interest are those…

Mesoscale and Nanoscale Physics · Physics 2026-01-06 Dunkan Martinez , Rodrigo P A Lima , Alexander Lopez , Francisco Dominguez-Adame , Pedro A Orellana

Quantum state transmission in spin chains is a fundamental problem within quantum technologies. The Su-Schrieffer-Heeger (SSH) model, first introduced in the context of polyacetylene, provides a paradigmatic example of a system exhibiting…

Quantum Physics · Physics 2025-08-27 Lautaro Moragues , Diego Acosta Coden , Omar Osenda , Alejandro Ferrón

Topology plays a central role in ensuring the robustness of a wide variety of physical phenomena. Notable examples range from the robust current carrying edge states associated with the quantum Hall and the quantum spin Hall effects to…

Topological properties of quantum systems could provide protection of information against environmental noise, and thereby drastically advance their potential in quantum information processing. Most proposals for topologically protected…

Mesoscale and Nanoscale Physics · Physics 2019-07-24 Péter Boross , János K. Asbóth , Gábor Széchenyi , László Oroszlány , András Pályi

Topological magnetic structures are promising candidates for resilient information storage. An elementary example are spin helices in one-dimensional easy-plane quantum magnets. To quantify their stability, we numerically implement the…

Strongly Correlated Electrons · Physics 2023-06-28 Stefan Kühn , Felix Gerken , Lena Funcke , Tobias Hartung , Paolo Stornati , Karl Jansen , Thore Posske

The ability to engineer topologically distinct materials opens the possibility of enabling novel phenomena in low-dimensional nano-systems, as well as manufacturing novel quantum devices. One of the simplest examples, the SSH model with…

Strongly Correlated Electrons · Physics 2026-02-11 Lin Wang , Thomas Luu , Ulf-G. Meißner

$\mathbb{Z}$-classified topological phases lead to larger-than-unity topological states. However, these multiple topological states are only localized at the corners in nonlocal systems. Here, first, we rigorously prove that the multiple…

Mesoscale and Nanoscale Physics · Physics 2025-01-07 Yimeng Sun , Linjuan Wang , Huiling Duan , Jianxiang Wang

Topological insulators have inspired the study with various quantum simulators. Exploiting the tunability of the qubit frequency and qubit-qubit coupling, we show that a superconducting qubit chain can simulate various topological band…

Quantum Physics · Physics 2017-11-21 Xiu Gu , Shu Chen , Yu-xi Liu

Fast and robust quantum state transfer (QST) is a major requirement in quantum control and in scalable quantum information processing. Topological protection has emerged as a promising route for the realization of QST robust against sizable…

Quantum Physics · Physics 2021-02-19 Stefano Longhi , Gian Luca Giorgi , Roberta Zambrini

We report an experimental study of the disordered Su-Schrieffer-Heeger (SSH) model, implemented in a system of coaxial cables, whose radio frequency properties map on to the SSH Hamiltonian. By measuring multiple chains with random hopping…

Disordered Systems and Neural Networks · Physics 2023-11-21 D. M. Whittaker , Maxine M. McCarthy , Qingqing Duan

Topological properties of quantum systems are one of the most intriguing emerging phenomena in condensed matter physics. A crucial property of topological systems is the symmetry-protected robustness towards local noise. Experiments have…

Quantum Physics · Physics 2022-12-05 Guliuxin Jin , Eliska Greplova

We consider the topological properties of the so-called central spin model that consists of $N$ identical spins coupled to a single distinguishable central spin which arises in physical systems such as circuit-QED and bosonic Josephson…

Quantum Physics · Physics 2026-02-03 B. Lajci , D. H. J. O'Dell , J. Mumford

The erratic nature of chaotic behavior is thought to erode the stability of periodic behavior, including topological oscillations. However, we discover that in the presence of chaos, non-trivial topology not only endures but also provides…

Mesoscale and Nanoscale Physics · Physics 2025-07-03 Haydar Sahin , Hakan Akgün , Zhuo Bin Siu , S. M. Rafi-Ul-Islam , Jian Feng Kong , Mansoor B. A. Jalil , Ching Hua Lee

We study two coupled Su-Schrieffer-Heeger (SSH) chains system, which is shown to contain rich quantum phases associated with topological invariants protected by symmetries. In the weak coupling region, the system supports two non-trivial…

Mesoscale and Nanoscale Physics · Physics 2017-09-14 Ci. Li , Sen. Lin , Gang. Zhang , Zhi. Song

The physics of interacting integer-spin chains has been a topic of intense theoretical interest, particularly in the context of symmetry-protected topological phases. However, there has not been a controllable model system to study this…

Quantum Physics · Physics 2015-06-24 C. Senko , P. Richerme , J. Smith , A. Lee , I. Cohen , A. Retzker , C. Monroe

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.…

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

An open challenge in the context of quantum information processing and communication is improving the robustness of quantum information to environmental contributions of noise, a severe hindrance in real-world scenarios. Here, we show that…

Quantum Physics · Physics 2024-08-30 Pedro Ornelas , Isaac Nape , Robert De Mello Koch , Andrew Forbes

The on-site potentials may break the symmetry of a system, resulting in the loss of its original topology protected by the symmetry. In this work, we study the counteracting effect of non-Hermitian terms on real potentials, resulting in…

Strongly Correlated Electrons · Physics 2025-06-09 E. S. Ma , K. L. Zhang , Z. Song
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