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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…

Cold-atom experiments in optical lattices offer a versatile platform to realize various topological quantum phases. A key challenge in those experiments is to unambiguously probe the topological order. We propose a method to directly…

Quantum Gases · Physics 2014-11-18 Dong-Ling Deng , Sheng-Tao Wang , Lu-Ming Duan

Topology is an important degree of freedom in characterizing electronic systems. Recently, it also brings new theoretical frontiers and many potential applications in photonics. However, the verification of the topological nature is highly…

Quantum Physics · Physics 2016-06-23 Yan-Pu Wang , Wan-Li Yang , Zheng-Yuan Xue , Yong Hu , Ying Wu

Topological features - global properties not discernible locally - emerge in systems from liquid crystals to magnets to fractional quantum Hall systems. Deeper understanding of the role of topology in physics has led to a new class of…

Mesoscale and Nanoscale Physics · Physics 2015-04-23 M. Hafezi , S. Mittal , J. Fan , A. Migdall , J. Taylor

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

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

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

In this work we provide a general methodology to directly measure topological order in cold atom systems. As an application we propose the realisation of a characteristic topological model, introduced by Haldane, using optical lattices…

Quantum Gases · Physics 2012-01-10 E. Alba , X. Fernandez-Gonzalvo , J. Mur-Petit , J. K. Pachos , J. J. Garcia-Ripoll

Conventional topological insulators exhibit exotic gapless edge or surface states, as a result of non-trivial bulk topological properties. In periodically-driven systems the bulk-boundary correspondence is fundamentally modified and…

The discovery of the quantised Hall effect, and its subsequent topological explanation, demonstrated the important role topology can play in determining the properties of quantum systems. This realisation led to the development of…

Since the experimental realization of synthetic gauge fields for neutral atoms, the simulation of topologically non-trivial phases of matter with ultracold atoms has become a major focus of cold atom experiments. However, several obvious…

Quantum Gases · Physics 2012-06-21 Michael Buchhold , Daniel Cocks , Walter Hofstetter

Topological photonics holds the promise for enhanced robustness of light localization and propagation enabled by the global symmetries of the system. While traditional designs of topological structures rely on lattice symmetries, there is…

The central goal of this thesis is to develop methods to experimentally study topological phases. We do so by applying the powerful toolbox of quantum simulation techniques with cold atoms in optical lattices. To this day, a complete…

Quantum Gases · Physics 2017-09-26 Samuel Mugel

Here we provide a general methodology to directly measure the topological currents emerging in the optical lattice implementation of the Haldane model. Alongside the edge currents supported by gapless edge states, transverse currents can…

Mesoscale and Nanoscale Physics · Physics 2020-07-29 Alvaro Rubio-García , Chris N. Self , Juan Jose García-Ripoll , Jiannis K. Pachos

Recent realizations of exotic topological states in condensed matter and cold atoms have advanced the exploration for topological characteristics, such as invariant topological orders and band inversion. Here we construct a 1D optical…

Optics · Physics 2018-09-14 Jun Jiang , Zhiwei Guo , Weiwei Zhu , Yang Long , Haitao Jiang , Jie Ren , Hong Chen

We propose the realization of topological quantum states with cold atoms trapped in an optical lattice. We discuss an experimental setup that generates a two-dimensional hexagonal lattice in the presence of a light-induced periodic vector…

Mesoscale and Nanoscale Physics · Physics 2009-07-21 Tudor D. Stanescu , Victor Galitski , J. Y. Vaishnav , Charles W. Clark , S. Das Sarma

Cold atom optical lattices allow for the study of quantum localization and mobility edges in a disorder-free environment. We predict the existence of an Anderson-like insulator with sharp mobility edges in a one-dimensional nearly-periodic…

Other Condensed Matter · Physics 2009-11-11 V. W. Scarola , S. Das Sarma

A new class of phenomena stemming from topological states of quantum matter has recently found a variety of analogies in classical systems. Spin-locking and one-way propagation have been shown to drastically alter our view on scattering of…

One of the most striking features of quantum mechanics is the appearance of phases of matter with topological origins. These phases result in remarkably robust macroscopic phenomena such as the edge modes in integer quantum Hall systems,…

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
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