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We present a general analysis of two-dimensional optical lattice models that give rise to topologically non-trivial insulating states. We identify the main ingredients of the lattice models that are responsible for the non-trivial…

Quantum Gases · Physics 2010-07-13 Tudor D. Stanescu , Victor Galitski , S. Das Sarma

Since the discovery of topological insulators, many topological phases have been predicted and realized in a range of different systems, providing both fascinating physics and exciting opportunities for devices. And although new materials…

Quantum Gases · Physics 2016-07-15 N. Goldman , J. C. Budich , P. Zoller

Topological materials exhibit protected edge modes that have been proposed for applications in for example spintronics and quantum computation. While a number of such systems exist, it would be desirable to be able to test theoretical…

Mesoscale and Nanoscale Physics · Physics 2018-10-15 Robert Drost , Teemu Ojanen , Ari Harju , Peter Liljeroth

Topological matter is a popular topic in both condensed matter and cold atom research. In the past decades, a variety of models have been identified with fascinating topological features. Some, but not all, of the models can be found in…

Quantum Gases · Physics 2017-01-20 Zhen Zheng , Han Pu , Xubo Zou , Guangcan Guo

This is an introductory review of the physics of topological quantum matter with cold atoms. Topological quantum phases, originally discovered and investigated in condensed matter physics, have recently been explored in a range of different…

Quantum Gases · Physics 2019-04-03 Dan-Wei Zhang , Yan-Qing Zhu , Y. X. Zhao , Hui Yan , Shi-Liang Zhu

Topological phases of matters are of fundamental interest and have promising applications. Fascinating topological properties of light have been unveiled in classical optical materials. However, the manifestation of topological physics in…

Optics · Physics 2015-08-06 Da-Wei Wang , Han Cai , Luqi Yuan , Shi-Yao Zhu , Ren-Bao Liu

We propose an experimental scheme to simulate and detect the properties of time-reversal invariant topological insulators, using cold atoms trapped in one-dimensional bichromatic optical lattices. This system is described by a…

Quantum Gases · Physics 2012-01-30 Feng Mei , Shi-Liang Zhu , Zhi-Ming Zhang , C. H. Oh , N. Goldman

Topological states of matter, as quantum Hall systems or topological insulators, cannot be distinguished from ordinary matter by local measurements in the bulk of the material. Instead, global measurements are required, revealing…

We propose a realization of a two-dimensional higher-order topological insulator with ultracold atoms loaded into orbital angular momentum (OAM) states of an optical lattice. The symmetries of the OAM states induce relative phases in the…

Quantum Gases · Physics 2019-11-11 G. Pelegrí , A. M. Marques , V. Ahufinger , J. Mompart , R. G. Dias

Topological insulators have attracted abundant attention for a variety of reasons -- notably, the possibility for lossless energy transport through edge states `protected' against disorder. Topological effects like the Quantum Hall state…

Mesoscale and Nanoscale Physics · Physics 2016-02-23 Momchil Minkov , Vincenzo Savona

We propose to realize one-dimensional topological phases protected by SU($N$) symmetry using alkali or alkaline-earth atoms loaded into a bichromatic optical lattice. We derive a realistic model for this system and investigate it…

Strongly Correlated Electrons · Physics 2019-02-20 P. Fromholz , S. Capponi , P. Lecheminant , D. J. Papoular , K. Totsuka

In a cold atom gas subject to a 2D spin-dependent optical lattice potential with hexagonal symmetry, trapped atoms undergo orbital motion around the potential minima. Such atoms are elementary quantum rotors. We develop the theory of such…

Quantum Physics · Physics 2019-10-14 I. Kuzmenko , T. Kuzmenko , Y. Avishai , Y. B. Band

We propose and analyze a general scheme to create chiral topological edge modes within the bulk of two-dimensional engineered quantum systems. Our method is based on the implementation of topological interfaces, designed within the bulk of…

Quantum Gases · Physics 2016-10-11 N. Goldman , G. Jotzu , M. Messer , F. Görg , R. Desbuquois , T. Esslinger

Detecting topological order in cold-atom experiments is an ongoing challenge, the resolution of which offers novel perspectives on topological matter. In material systems, unambiguous signatures of topological order exist for topological…

Quantum Gases · Physics 2013-04-25 N. Goldman , J. Dalibard , A. Dauphin , F. Gerbier , M. Lewenstein , P. Zoller , I. B. Spielman

Topological materials hold great promise for developing next-generation devices with transport properties that remain resilient in the presence of local imperfections. However, their susceptibility to thermal noise has posed a major…

Quantum Physics · Physics 2025-09-11 Jiefei Wang , Jianhao Dai , Ruosong Mao , Yunzhou Lu , Xiao Liu , Huizhu Hu , Shi-Yao Zhu , Xingqi Xu , Han Cai , Da-Wei Wang

We propose a scheme involving cold atoms trapped in optical lattices to observe different phenomena traditionally linked to quantum-optical systems. The basic idea consists of connecting the trapped atomic state to a non-trapped state…

Quantum Physics · Physics 2011-11-10 Carlos Navarrete-Benlloch , Inés de Vega , Diego Porras , J. Ignacio Cirac

Topological photonics provides a novel platform to explore topological physics beyond traditional electronic materials and stimulates promising applications in topologically protected light transport and lasers. Classical degrees of freedom…

We propose an experimental scheme to construct an optical lattice where the atoms are confined to the surface of a torus. This construction can be realized with spatially shaped laser beams which could be realized with recently developed…

Quantum Gases · Physics 2018-10-03 Hwanmun Kim , Guanyu Zhu , J. V. Porto , Mohammad Hafezi

We present a proposal for a versatile cold-atom-based quantum simulator of relativistic fermionic theories and topological insulators in arbitrary dimensions. The setup consists of a spin-independent optical lattice that traps a collection…

Topological behavior has been observed in quantum systems including ultracold atoms. However, background harmonic traps for cold-atoms hinder direct detection of topological edge states arising at the boundary because the distortion fuses…

Quantum Gases · Physics 2017-08-17 Mekena Metcalf , Chen-Yen Lai , Kevin Wright , Chih-Chun Chien
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