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Topological insulating phases are primarily associated with condensed-matter systems, which typically feature short-range interactions. Nevertheless, many realizations of quantum matter can exhibit long-range interactions, and it is still…

Quantum Physics · Physics 2017-11-29 Pedro Nevado , Samuel Fernández-Lorenzo , Diego Porras

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

A nonlinear Schrodinger equation arising from light propagation down an inhomogeneous medium is considered. The inhomogeneity is reflected through a non-uniform coefficient of the non-linear term in the equation. In particular, a…

Pattern Formation and Solitons · Physics 2015-05-18 R. Marangell , C. K. R. T. Jones , H. Susanto

Recent development of network structure analysis shows that it plays an important role in characterizing complex system of many branches of sciences. Different from previous network centrality measures, this paper proposes the notion of…

Information Retrieval · Computer Science 2009-02-12 Hai Zhuge , Junsheng Zhang

Topological phases feature robust edge states that are protected against the effects of defects and disorder. The robustness of these states presents opportunities to design technologies that are tolerant to fabrication errors and resilient…

The dynamics of models described by a one-dimensional discrete nonlinear Schr\"odinger equation is studied. The nonlinearity in these models appears due to the coupling of the electronic motion to optical oscillators which are treated in…

Condensed Matter · Physics 2009-10-28 P. K. Datta , K. Kundu

This work delves into the energy localization in non-Hermitian systems, particularly focusing on the effects of topological defects in spherical models. We analyze the mode distribution changes in non-Hermitian Su-Schrieffer-Heeger (SSH)…

Applied Physics · Physics 2024-02-06 Xizhou Shen , Xiumei Wang , Haotian Guo , Xingping Zhou

Building on advances in topological photonics and computational optimization, we inversedesign a periodic dielectric structure surrounding a chain of interacting qubits, emulating an extended, dimerized Su-Schrieffer-Heeger (SSH) excitonic…

The analysis of wave patterns in a structure which possesses periodicity in the spatial and temporal dimensions is presented. The topic of imperfect chiral interfaces is also considered. Although causality is fundamental for physical…

Analysis of PDEs · Mathematics 2022-08-10 A. B. Movchan , N. V. Movchan , I. S. Jones , G. W. Milton , H. -M. Nguyen

Transfer matrix methods and intersection theory are used to calculate the bands of edge states for a wide class of periodic two-dimensional tight-binding models including a sublattice and spin degree of freedom. This allows to define…

Mathematical Physics · Physics 2016-10-28 Julio Cesar Avila , Hermann Schulz-Baldes , Carlos Villegas-Blas

Studies of disordered spin chains have recently experienced a renewed interest, inspired by the question to which extent the exact numerical calculations comply with the existence of a many-body localization phase transition. For the…

Disordered Systems and Neural Networks · Physics 2022-01-05 Lev Vidmar , Bartosz Krajewski , Janez Bonca , Marcin Mierzejewski

Topology is a fundamental aspect of quantum physics, and it has led to key breakthroughs and results in various fields of quantum materials. In condensed matters, this has culminated in the recent discovery of symmetry-protected topological…

Materials Science · Physics 2023-10-24 Baokai Wang , Yi-Chun Hung , Xiaoting Zhou , Tzen Ong , Hsin Lin

The union of topology and non-Hermiticity has led to the unveiling of many intriguing phenomena. We introduce a synthetic spin-engineered model belonging to symmetry class AI, which is a rare occurrence, and demonstrate the emergence of a…

Mesoscale and Nanoscale Physics · Physics 2024-05-08 Ronika Sarkar , Ayan Banerjee , Awadhesh Narayan

The structure of real-world networks is usually difficult to characterize owing to the variation of topological scales, the nondyadic complex interactions, and the fluctuations in the network. We aim to address these problems by introducing…

Social and Information Networks · Computer Science 2019-09-25 Quoc Hoan Tran , Van Tuan Vo , Yoshihiko Hasegawa

We address the effect of nearest-neighbor (NN) interactions on the topological properties of the Su-Schrieffer-Heeger (SSH) chain, with alternating hopping amplitudes t1 and t2. Both numerically and analytically, we show that the presence…

Strongly Correlated Electrons · Physics 2017-04-05 A. M. Marques , R. G. Dias

We numerically investigate the properties of speckle patterns formed by nonlinear point scatterers. We show that, in the weak localization regime, dynamical instability appears, eventually leading to chaotic behavior of the system.…

Mesoscale and Nanoscale Physics · Physics 2008-09-29 Benoit Gremaud , Thomas Wellens

Supramolecular device (SMD) with topological end states and a noncovalent junction is rarely investigated but deemed promising for thermoelectric (TE) applications. We designed a new kind of SMD based on the Su-Schrieffer-Heeger (SSH)…

Computational Physics · Physics 2025-12-03 Wenlai Mu , Nisar Muhammad , Huaihong Guo , Zsolt Gulacsi , Teng Yang , Zhidong Zhang

We study the topological phase transition in a two-leg Su-Schrieffer-Heeger (SSH) ladder by redefining the unit-cell structure. For both identical hopping dimerization pattern (uniform) and alternate hopping dimerization pattern (staggered)…

Other Condensed Matter · Physics 2026-03-31 Anish Kuanr , Rajashri Parida , Saralasrita Mohanty , Tapan Mishra

Interfaces in two-dimensional systems exhibit unexpected complex dynamical behaviors, the dynamics of a border connecting a stripe pattern and a uniform state is studied. Numerical simulations of a prototype isotropic model, the subcritical…

Pattern Formation and Solitons · Physics 2008-06-05 Marcel G. Clerc , Daniel Escaff , Rene Rojas

A dimerized chain of dipolar emitters strongly coupled to a multimode optical waveguide cavity is studied. By integrating out the photonic degrees of freedom of the cavity, the system is recast in a two-band model with an effective…

Mesoscale and Nanoscale Physics · Physics 2023-12-20 Thomas F. Allard , Guillaume Weick
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