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We propose to observe and manipulate topological edge spins in 1D optical lattice based on currently available experimental platforms. Coupling the atomic spin states to a laser-induced periodic Zeeman field, the lattice system can be…

Mesoscale and Nanoscale Physics · Physics 2013-02-14 Xiong-Jun Liu , Zheng-Xin Liu , Meng Cheng

The classification of topological insulators predicts the existence of high-dimensional topological phases that cannot occur in real materials, as these are limited to three or fewer spatial dimensions. We use electric circuits to…

Mesoscale and Nanoscale Physics · Physics 2020-06-03 You Wang , Hannah M. Price , Baile Zhang , Y. D. Chong

We present a general framework for engineering two-dimensional (2D) sub-wavelength topological optical lattices using spatially dependent atomic dark states in a $\Lambda$-type configuration of the atom-light coupling. By properly designing…

Quantum Gases · Physics 2025-10-24 Domantas Burba , Gediminas Juzeliūnas

We review recent developments in the physics of ultracold atomic and molecular gases in optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard models, and as such may very well serve to mimic condensed…

Other Condensed Matter · Physics 2007-06-13 Maciej Lewenstein , Anna Sanpera , Veronica Ahufinger , Bogdan Damski , Aditi Sen De , Ujjwal Sen

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

Topological phases of matter give rise to exotic physics that can be leveraged for next generation quantum computation and spintronic devices. Thus, the search for topological phases and the quantum states that they exhibit have become the…

Topological pumping of ultracold atomic gases has recently been demonstrated in two experiments (Nat. Phys. 12, 296; 12, 350 (2016)). Here we study the topological pumping of a single magnon in a dynamically controlled spin-dependent…

Quantum Gases · Physics 2019-01-18 Feng Mei , Gang Chen , Liantuan Xiao , Suotang Jia

We propose a novel approach to study the topological properties of matter. In this approach, fermionic atoms are placed in an external magnetic field and in a two-dimensional spin-dependent optical lattice (SDOL) created by intersecting…

Quantum Gases · Physics 2024-12-13 Igor Kuzmenko , Mirosław Brewczyk , Grzegorz Łach , Marek Trippenbach , Y. B. Band

The search for materials with topological properties is an ongoing effort. In this article we propose a systematic statistical method supported by machine learning techniques that is capable of constructing topological models for a generic…

Mesoscale and Nanoscale Physics · Physics 2021-02-18 Thomas Mertz , Roser Valentí

Rydberg lattice gases are at the forefront of quantum simulation platforms due to their inherent strong dipole-dipole interactions, long life-times and high degree of control currently achievable in experiments. We propose a simple and…

Quantum Physics · Physics 2025-02-24 Mathias B. M. Svendsen , Beatriz Olmos

In the present work we demonstrate how to realize 1d-optical closed lattice experimentally, including a {\it tunable} boundary phase-twist. The latter may induce ``persistent currents'', visible by studing the atoms' momentum distribution.…

Other Condensed Matter · Physics 2009-11-11 Luigi Amico , Andreas Osterloh , Francesco Cataliotti

There is a growing interest in using cold-atom systems to explore the effects of strong interactions in topological band structures. Here we investigate interacting bosons in a Cruetz ladder, which is characterised by topological flat…

Quantum Gases · Physics 2020-10-23 Stuart Flannigan , Andrew J. Daley

We propose an experimental implementation of a topological superfluid with ultracold fermionic atoms. An optical superlattice is used to juxtapose a 1D gas of fermionic atoms and a 2D conventional superfluid of condensed Feshbach molecules.…

Quantum Gases · Physics 2013-08-20 Sylvain Nascimbène

Arrays of individual atoms trapped in optical microtraps with micrometer-scale sizes have emerged as a fundamental, versatile, and powerful platform for quantum sciences and technologies. This platform enables the bottom-up engineering of…

Quantum Gases · Physics 2024-01-10 Shangguo Zhu , Yun Long , Wei Gou , Mingbo Pu , Xiangang Luo

Quantum dimer models are known to host topological quantum spin liquid phases, and it has recently become possible to simulate such models with Rydberg atoms trapped in arrays of optical tweezers. Here, we present large-scale quantum Monte…

Strongly Correlated Electrons · Physics 2022-11-08 Zheng Yan , Rhine Samajdar , Yan-Cheng Wang , Subir Sachdev , Zi Yang Meng

We propose a scheme to realize lattice potentials of sub-wavelength spacing for ultracold atoms. It is based on spin-dependent optical lattices with a time-periodic modulation. We show that the atomic motion is well described by the…

Quantum Gases · Physics 2015-10-07 Sylvain Nascimbene , Nathan Goldman , Nigel R. Cooper , Jean Dalibard

Despite the fact that by now one dimensional and three dimensional systems of interacting particles are reasonably well understood, very little is known on how to go from the one dimensional physics to the three dimensional one. This is in…

Strongly Correlated Electrons · Physics 2009-11-11 M. A. Cazalilla , A. F. Ho , T. Giamarchi

Here, we propose a platform based on ultra-cold fermionic molecules trapped in optical lattices to simulate nonadiabatic effects, as they appear in certain molecular dynamical problems. The idea consists of a judicious choice of two…

Quantum Gases · Physics 2025-09-25 Javier Argüello-Luengo , Alejandro González-Tudela , J. Ignacio Cirac

Topological nodal rings as the simplest topological nodal lines recently have been extensively studied in optical lattices. However, the realization of complex nodal line structures like nodal chains in this system remains a crucial…

Quantum Gases · Physics 2021-03-23 Bei-Bei Wang , Jia-Hui Zhang , Chuanjia Shan , Feng Mei , Suotang Jia

The realization and detection of topological phases with ultracold atomic gases is at the frontier of current theoretical and experimental research. Here, we identify cold atoms in optical ladders subjected to synthetic magnetic fields as…

Quantum Gases · Physics 2015-06-16 Dario Hügel , Belén Paredes