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We describe a scheme to engineer non-Abelian gauge potentials on a square optical lattice using laser-induced transitions. We emphasize the case of two-electron atoms, where the electronic ground state g is laser coupled to a metastable…

Quantum Gases · Physics 2013-08-29 N. Goldman , F. Gerbier , M. Lewenstein

Topological states of matter are peculiar quantum phases showing different edge and bulk transport properties connected by the bulk-boundary correspondence. While non-interacting fermionic topological insulators are well established by now…

Quantum Gases · Physics 2016-10-18 M. Di Liberto , A. Hemmerich , C. Morais Smith

We describe a quasiperiodic optical lattice, created by a physical realization of the abstract cut-and-project construction underlying all quasicrystals. The resulting potential is a generalization of the Fibonacci tiling. Calculation of…

Quantum Gases · Physics 2016-01-18 Kevin Singh , Kush Saha , Siddharth A. Parameswaran , David M. Weld

Topological states of matter are robust quantum phases, characterised by propagating or localised edge states in an insulating bulk. Topological boundary states can be triggered by various mechanisms, for example by strong spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 S. E. Freeney , J. J. van den Broeke , A. J. J. Harsveld van der Veen , I. Swart , C. Morais Smith

We study the finite temperature properties of two-component fermionic atoms trapped in a two-dimensional optical lattice. We apply the self-energy functional approach to the two-dimensional Hubbard model with a harmonic trapping potential,…

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

We propose a scheme to simulate topological physics within a single degenerate cavity, whose modes are mapped to lattice sites. A crucial ingredient of the scheme is to construct a sharp boundary so that the open boundary condition can be…

Quantum Physics · Physics 2017-03-20 Xiang-Fa Zhou , Xi-Wang Luo , Su Wang , Guang-Can Guo , Xingxiang Zhou , Han Pu , Zheng-Wei Zhou

Certain proposed extended Bose-Hubbard models may exhibit topologically ordered ground states with excitations obeying non-Abelian braid statistics. A sufficient tuning of Hubbard parameters could yield excitation braiding rules allowing…

Other Condensed Matter · Physics 2009-11-13 V. W. Scarola , S. Das Sarma

We investigate the one-dimensional Hubbard model with a confining potential, which may describe cold fermionic atoms trapped in an optical lattice. Combining the variational Monte Carlo simulations with the new stochastic reconfiguration…

Statistical Mechanics · Physics 2007-05-23 Yusuke Fujihara , Akihisa Koga , Norio Kawakami

We describe theoretically a setup in which a tapered optical nanofibre is introduced into an optical lattice potential for cold atoms. Firstly, we consider the disturbance to the geometry of the lattice potential due to scattering of the…

Quantum Gases · Physics 2013-05-30 T. Hennessy , Th. Busch

We analyze the energy spectrum and eigenstates of cold atoms in a tilted brick-wall optical lattice. When the tilt is applied, the system exhibits a sequence of topological phase transitions reflected in an abrupt change of the eigenstates.…

Quantum Gases · Physics 2018-07-11 Andrey R. Kolovsky

The topological Kondo (TK) model has been proposed in solid-state quantum devices as a way to realize non-Fermi liquid behaviors in a controllable setting. Another motivation behind the TK model proposal is the demand to demonstrate the…

Mesoscale and Nanoscale Physics · Physics 2016-07-20 F. Buccheri , G. D. Bruce , A. Trombettoni , D. Cassettari , H. Babujian , V. E. Korepin , P. Sodano

We demonstrate the experimental implementation of an optical lattice that allows for the generation of large homogeneous and tunable artificial magnetic fields with ultracold atoms. Using laser-assisted tunneling in a tilted optical…

Quantum Gases · Physics 2013-11-13 M. Aidelsburger , M. Atala , M. Lohse , J. T. Barreiro , B. Paredes , I. Bloch

Ultra-cold atoms in optical lattices realize simple, fundamental models in condensed matter physics. Our 87Rb Bose-Einstein condensate is confined in a harmonic trapping potential to which we add an optical lattice potential. Here we…

Quantum Gases · Physics 2010-09-15 K. Jimenez-Garcia , R. L. Compton , Y. -J. Lin , W. D. Phillips , J. V. Porto , I. B. Spielman

Topological phases are characterized by their entanglement properties, which is manifest in a direct relation between entanglement spectra and edge states discovered by Li and Haldane. We propose to leverage the power of synthetic quantum…

Quantum Gases · Physics 2022-05-04 Torsten V. Zache , Christian Kokail , Bhuvanesh Sundar , Peter Zoller

We investigate a setup where a cloud of atoms is trapped in an optical lattice potential of a standing wave laser field which is created by retro-reflection on a micro-membrane. The membrane vibrations itself realize a quantum mechanical…

Quantum Physics · Physics 2010-08-31 K. Hammerer , K. Stannigel , C. Genes , P. Zoller , P. Treutlein , S. Camerer , D. Hunger , T. W. Haensch

In this work we discuss particular effects that take place in systems of quantum emitters coupled to two-dimensional bosonic topological insulators. For a single emitter coupled to the Haldane model, we find a "fragile" quasibound state…

Mesoscale and Nanoscale Physics · Physics 2023-02-15 Miguel Bello , J. Ignacio Cirac

We propose a realistic scheme to quantum simulate the so-far experimentally unobserved topological Mott insulator phase -- an interaction-driven topological insulator -- using cold atoms in an optical Lieb lattice. To this end, we study a…

Quantum Gases · Physics 2016-04-20 A. Dauphin , M. Müller , M. A. Martin-Delgado

We analyze interacting ultra-cold bosonic atoms in a one-dimensional (1D) super-lattice potential with alternating tunneling rates t_1 and t_2 and inversion symmetry, which is the bosonic analogue of the Su-Schrieffer-Heeger (SSH) model. A…

Quantum Gases · Physics 2014-10-08 Fabian Grusdt , Michael Höning , Michael Fleischhauer

We review recent theoretical advances in cold atom physics concentrating on strongly correlated cold atoms in optical lattices. We discuss recently developed quantum optical tools for manipulating atoms and show how they can be used to…

Other Condensed Matter · Physics 2009-11-10 D. Jaksch , P. Zoller

The concepts of topology have a profound impact on physics research spanning the fields of condensed matter, photonics and acoustics and predicting topological states that provide unprecedented versatility in routing and control of waves of…

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