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Quantum matter with exotic topological order has potential applications in quantum computation. However, in present experiments, the manipulations on topological states are still challenging. We here propose an architecture for optical…

Quantum Physics · Physics 2020-03-26 Wei Nie , Yu-xi Liu

Fractal lattices, with their self-similar and intricate structures, offer potential platforms for engineering physical properties on the nanoscale and also for realizing and manipulating high order topological insulator states in novel…

Mesoscale and Nanoscale Physics · Physics 2024-11-08 L. L. Lage , N. C. Rappe , A. Latgé

We investigate topological edge states in one-dimensional off-diagonal mosaic lattices, where nearest-neighbor hopping amplitudes are modulated periodically with period $\kappa>1$. Analytically, we demonstrate that discrete edge states…

Optics · Physics 2025-10-17 Ba Phi Nguyen , Kihong Kim

Optical lattices formed by interfering laser beams are widely used to trap and manipulate atoms for quantum simulation, metrology, and computation. To stabilize optical lattices in experiments, it is usually challenging to implement…

Quantum Physics · Physics 2026-04-14 Yirong Wang , Xiaoyu Dai , Xue Zhao , Guangren Sun , Kuiyi Gao , Wei Zhang

We study the means to prepare and coherently manipulate atomic wave packets in optical lattices, with particular emphasis on alkali atoms in the far-detuned limit. We derive a general, basis independent expression for the lattice operator,…

Quantum Physics · Physics 2009-10-31 I. H. Deutsch , P. S. Jessen

Topological phases support edge states that can be robust to material deformations and other perturbations. While well-studied in quantum systems, topological phases have also been observed in stochastic and biochemical systems, yet it…

Statistical Mechanics · Physics 2026-04-06 Ziyin Xiong , Aleksandra Nelson , Evelyn Tang

We present Floquet fractal topological insulators: photonic topological insulators in a fractal-dimensional lattice consisting of helical waveguides. The helical modulation induces an artificial gauge field and leads to the…

Optics · Physics 2021-04-09 Zhaoju Yang , Eran Lustig , Yaakov Lumer , Mordechai Segev

Topological phases are often characterized by special edge states confined near the boundaries by an energy gap in the bulk. On raising temperature, these edge states are lost in a clean system due to mobile thermal excitations. Recently…

Disordered Systems and Neural Networks · Physics 2013-10-07 Yasaman Bahri , Ronen Vosk , Ehud Altman , Ashvin Vishwanath

Motivated by the increasing interest in the properties of multimode optomechanical devices, here we study a system in which a driven mode of a large-area optical cavity is despersively coupled to a deformable mechanical element. Two…

We show that topological phases with fractional excitations can occur in two-dimensional ultracold dipolar gases on a particular class of optical lattices. Due to the dipolar interaction and lattice confinement, a quantum dimer model…

Quantum Gases · Physics 2010-04-26 Kai Sun , Erhai Zhao , W. Vincent Liu

Using elementary graph theory, we show the existence of interface chiral modes in random oriented scattering networks and discuss their topological nature. For particular regular networks (e.g. L-lattice, Kagome and triangular networks), an…

Mesoscale and Nanoscale Physics · Physics 2020-06-08 Pierre Delplace

We theoretically investigate the possibility to generate non-classical states of optical and mechanical modes of optical cavities, distant from each other. A setup comprised of two identical cavities, each with one fixed and one movable…

Quantum Physics · Physics 2013-05-30 Chaitanya Joshi , Jonas Larson , Mats Jonson , Erika Andersson , Patrik Ohberg

We propose a scheme to realize a topological insulator with optical-passive elements, and analyze the effects of Kerr-nonlinearities in its topological behavior. In the linear regime, our design gives rise to an optical spectrum with…

Quantum Physics · Physics 2022-06-01 T. Shi , H. J. Kimble , J. I. Cirac

We propose a new scheme for optical quantum simulation of topological systems: by using optical systems to simulate the variation of eigenstates of topological systems in momentum space, we can obtain the information of topological numbers.…

Superconductivity · Physics 2022-09-28 Zhongcheng Feng , Jiansheng Wu

Topological photonics has recently emerged as a route to realize robust optical circuitry, and nonlinear effects are expected to enable tunability of topological states with the light intensity. Here we realize experimentally nonlinear…

Shaping the light emission characteristics of laser systems is of great importance in various areas of science and technology. In a typical lasing arrangement, the spatial profile of the mode tends to remain self-similar throughout the…

Certain periodically driven quantum many-particle systems in one dimension are known to exhibit edge modes that are related to topological properties and lead to approximate degeneracies of the Floquet spectrum. A similar situation occurs…

Strongly Correlated Electrons · Physics 2020-01-28 Daniel J. Yates , Fabian H. L. Essler , Aditi Mitra

Topological mechanical metamaterials have been widely explored for their boundary states, which can be robustly isolated or transported in a controlled manner. However, such systems often require pre-configured design or complex active…

Mesoscale and Nanoscale Physics · Physics 2022-12-06 Yasuhiro Miyazawa , Chun-Wei Chen , Rajesh Chaunsali , Timothy S. Gormley , Gloria Yin , Georgios Theocharis , Jinkyu Yang

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…

A salient feature of topological phases are surface states and many of the widely studied physical properties are directly tied to their existence. Although less explored, a variety of topological phases can however similarly be…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Toshikaze Kariyado , Robert-Jan Slager
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