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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

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

We propose an experimental technique for classifying the topology of band structures realized in optical lattices, based on a generalization of topological charge pumping in quantum Hall systems to cold atom in optical lattices.…

Quantum Gases · Physics 2013-04-23 Lei Wang , Alexey A. Soluyanov , Matthias Troyer

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

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

We propose a simple method to detect the antiferromagnetic (AF) state of fermionic atoms in an optical lattice by combining a time-of-flight (TOF) imaging method and a Feshbach resonance. In this scheme, the nontrivial dynamics of fermionic…

Quantum Gases · Physics 2010-12-14 Kensuke Inaba , Makoto Yamashita

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…

The classification of topological Floquet systems with time-periodic Hamiltonians transcends that of static systems. For example, spinless fermions in periodically driven two-dimensional lattices are not completely characterized by the…

Quantum Gases · Physics 2019-07-02 F. Nur Ünal , Babak Seradjeh , André Eckardt

Topological states of fermionic matter can be induced by means of a suitably engineered dissipative dynamics. Dissipation then does not occur as a perturbation, but rather as the main resource for many-body dynamics, providing a targeted…

Quantum Physics · Physics 2015-06-15 C. -E. Bardyn , M. A. Baranov , C. V. Kraus , E. Rico , A. Imamoglu , P. Zoller , S. Diehl

Two-dimensional (2D) particle systems, such as magnetic skyrmions, exhibit topological phase transitions between unique 2D phases. However, a simple and computationally efficient methodology to capture lattice configurational properties and…

We propose a protocol to demonstrate the topological order of a spin-1/2 lattice model with four-body interactions. Unlike other proposals, it does not rely on the controlled movement of quasiparticles, thus eliminating the addressing,…

Strongly Correlated Electrons · Physics 2010-01-15 H. Bombin , M. A. Martin-Delgado

We report on a dynamical mean-field theoretical analysis of emerging low-temperature phases in multicomponent gases of fermionic alkaline-earth(-like) atoms in state-dependent optical lattices. Using the example of $^{173}$Yb atoms, we show…

Quantum Gases · Physics 2020-05-21 Andrii Sotnikov , Nelson Darkwah Oppong , Yeimer Zambrano , Agnieszka Cichy

We present a technique for detecting topological invariants -- Chern numbers -- from time-of-flight images of ultra-cold atoms. We show that the Chern numbers of integer quantum Hall states of lattice fermions leave their fingerprints in…

Quantum Gases · Physics 2012-01-09 Erhai Zhao , Noah Bray-Ali , Carl J. Williams , I. B. Spielman , Indubala I. Satija

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

Laser cooling and trapping are now widely used in atomic physics laboratory. Interestingly, cold atoms in optical lattices are now used in advanced research to mimic phenomena in condensed matter physics and also as a test laboratory for…

Strongly Correlated Electrons · Physics 2008-10-27 G. E. Akpojotor , W. Li

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

We investigate how imposing kinetic restrictions on quantum particles that would otherwise hop freely on a two-dimensional lattice can lead to topologically ordered states. The kinetically constrained models introduced here are derived as a…

Strongly Correlated Electrons · Physics 2015-04-21 Stefanos Kourtis , Claudio Castelnovo

In nearly all experiments with ultracold atoms time-of-flight pictures are the only data available. In this paper we present an analytical strong-coupling calculation for those time-of-flight pictures of bosons in an optical lattice in the…

Statistical Mechanics · Physics 2015-05-13 Alexander Hoffmann , Axel Pelster

We present a novel method to perform quantum state tomography for many-particle systems which are particularly suitable for estimating states in lattice systems such as of ultra-cold atoms in optical lattices. We show that the need for…

Quantum Physics · Physics 2015-06-04 M. Ohliger , V. Nesme , J. Eisert

The modern conception of phases of matter has undergone tremendous developments since the first observation of topologically ordered states in fractional quantum Hall systems in the 1980s. In this paper, we explore the question: How much…

Quantum Physics · Physics 2018-02-05 Zhihuang Luo , Jun Li , Zhaokai Li , Ling-Yan Hung , Yidun Wan , Xinhua Peng , Jiangfeng Du
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