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Topological phases of matter have attracted much attention over the years. Motivated by analogy with photonic lattices, here we examine the edge states of a one-dimensional trimer lattice in the phases with and without inversion symmetry…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 V. M. Martinez Alvarez , M. D. Coutinho-Filho

We address the technical challenges when performing quantum information experiments with ultracold Rydberg atoms in lattice geometries. We discuss the following key aspects: (i) The coherent manipulation of atomic ground states, (ii) the…

Atomic Physics · Physics 2017-01-04 J. B. Naber , J. Vos , R. J. Rengelink , R. J. Nusselder , D. Davtyan

We show that lattices with higher-order topology can support corner-localized bound states in the continuum (BICs). We propose a method for the direct identification of BICs in condensed matter settings and use it to demonstrate the…

Strongly Correlated Electrons · Physics 2020-05-06 Wladimir A. Benalcazar , Alexander Cerjan

Leveraging topological properties in the response of electromagnetic systems can greatly enhance their potential. Although the investigation of singularity-based electromagnetics and non-Hermitian electronics has considerably increased in…

Ultracold fermionic gases in optical lattices give a great opportunity for creating different types of novel states. One of them is phase separation induced by a trapping potential between different types of superfluid phases. The…

Quantum Gases · Physics 2019-05-06 Agnieszka Cichy , Konrad Jerzy Kapcia , Andrzej Ptok

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…

Analysis of PDEs · Mathematics 2020-06-11 Habib Ammari , Erik Orvehed Hiltunen

Topological insulators and superconductors have attracted considerable attention, and many different theoretical tools have been used to gain insight into their properties. Here we investigate how perturbations can spread through exemplary…

Mesoscale and Nanoscale Physics · Physics 2023-11-17 Martyna Sedlmayr , Hadi Cheraghi , Nicholas Sedlmayr

Topological photonic systems offer light transport that is robust against defects and disorder, promising a new generation of chip-scale photonic devices and facilitating energy-efficient on-chip information routing and processing. However,…

Although topological mechanical metamaterials have been extensively studied from a theoretical perspective, their experimental characterization has been lagging. To address this shortcoming, we present a systematic laser-assisted…

Materials Science · Physics 2018-09-12 Jihong Ma , Di Zhou , Kai Sun , Xiaoming Mao , Stefano Gonella

We propose and theoretically investigate a hybrid system composed of a crystal of trapped ions coupled to a cloud of ultracold fermions. The ions form a periodic lattice and induce a band structure in the atoms. This system combines the…

We study ultracold fermionic atoms trapped in a three dimensional optical lattice by combining the real-space dynamical mean-field approach with continuous-time quantum Monte Carlo simulations. For a spin-unpolarized system we show results…

Quantum Gases · Physics 2015-05-19 A. Koga , J. Bauer , P. Werner , Th. Pruschke

Topology in condensed matter physics manifests itself in the emergence of edge or surface states protected by underlying symmetries. We review two-dimensional topological insulators whose one-dimensional edge states are characterized by…

Mesoscale and Nanoscale Physics · Physics 2016-03-01 Giacomo Dolcetto , Maura Sassetti , Thomas L. Schmidt

Edge states emerge in diverse areas of science, offering new opportunities for the development of novel electronic or optoelectronic devices, sound and light propagation controls in acoustics and photonics. Previous experiments on edge…

We propose to utilize density-density correlations in the image of an expanding gas cloud to probe complex many body states of trapped ultra-cold atoms. In particular we show how this technique can be used to detect superfluidity of…

Soft Condensed Matter · Physics 2009-11-10 Ehud Altman , Eugene Demler , Mikhail D. Lukin

The concept of topological phases is a powerful framework to characterize ground states of quantum many-body systems that goes beyond the paradigm of symmetry breaking. While a few topological phases appear in condensed matter systems, a…

Continuum lattice grid structures which consist of joined elastic beams subject to flexural deformations are ubiquitous. In this work, we establish a theoretical framework of the topological dynamics of continuum lattice grid structures,…

Classical Physics · Physics 2025-01-07 Yimeng Sun , Jiacheng Xing , Li-Hua Shao , Jianxiang Wang

A theoretical approach was developed for an exact numerical description of a pair of ultracold atoms interacting via a central potential that are trapped in a three-dimensional optical lattice. The coupling of center-of-mass and…

Quantum Physics · Physics 2013-05-29 Sergey Grishkevich , Alejandro Saenz

Photonic systems with parity-time (PT) symmetry and topology are attracting considerable attentions. In this work, topological near-zero edge states are studied in PT-symmetric photonic lattice and the results indicate that the near-zero…

The twig edge states in graphene-like structures are viewed as the fourth states complementary to their zigzag, bearded, and armchair counterparts. In this work, we study a rod-in-plasma system in honeycomb lattice with twig edge truncation…

Mesoscale and Nanoscale Physics · Physics 2024-04-23 Jianfei Li , Jingfeng Yao , Ying Wang , Zhongxiang Zhou , Zhihao Lan , Chengxun Yuan

Symmetry protected topological (SPT) phases in free fermion and interacting bosonic systems have been classified, but the physical phenomena of interacting fermionic SPT phases have not been fully explored. Here, employing large-scale…

Strongly Correlated Electrons · Physics 2016-10-21 Han-Qing Wu , Yuan-Yao He , Yi-Zhuang You , Tsuneya Yoshida , Norio Kawakami , Cenke Xu , Zi Yang Meng , Zhong-Yi Lu