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Related papers: Reaching Fractional Quantum Hall States with Optic…

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Cold atomic gases of interacting bosons subject to rapid rotation and confined in anharmonic traps can theoretically exhibit analogues of the fractional quantum Hall effect for electrons in strong magnetic fields. In this setting the…

Mathematical Physics · Physics 2022-09-29 Nicolas Rougerie , Jakob Yngvason

Control over all internal and external degrees of freedom of molecules at the level of single quantum states will enable a series of fundamental studies in physics and chemistry. In particular, samples of ground-state molecules at ultralow…

Fractional quantum Hall-superconductor heterostructures may provide a platform towards non-abelian topological modes beyond Majoranas. However their quantitative theoretical study remains extremely challenging. We propose and implement a…

Strongly Correlated Electrons · Physics 2018-05-08 C. Repellin , A. M. Cook , T. Neupert , N. Regnault

The Bose-Hubbard model subjected to an effective magnetic field hosts a plethora of phases with different topological orders when tuning the chemical potential. Using the density matrix renormalization group method, we identify several…

Quantum Gases · Physics 2022-02-23 Julian Boesl , Rohit Dilip , Frank Pollmann , Michael Knap

An optical flux lattice is a set of light beams that couple different internal states of an atom, thereby producing topological energy bands. Here we present a configuration in which the atoms exhibit a dark state, i.e. an internal state…

Quantum Gases · Physics 2025-09-04 Sylvain Nascimbene , Jean Dalibard

The realization of synthetic gauge fields for charge neutral ultracold atoms and the simulation of quantum Hall physics has witnessed remarkable experimental progress. Here, we establish key signatures of fractional quantum Hall systems in…

Quantum Gases · Physics 2025-06-17 Caterina Zerba , Alexander Seidel , Frank Pollmann , Michael Knap

The Fibonacci topological order is the simplest platform for a universal topological quantum computer, consisting of a single type of non-Abelian anyon, $\tau$, with fusion rule $\tau\times\tau=1+\tau$. While it has been proposed that the…

Strongly Correlated Electrons · Physics 2021-06-16 Hart Goldman , Ramanjit Sohal , Eduardo Fradkin

Using the parton construction, we build a three-dimensional (3D) multilayer fractional quantum Hall state with average filling \nu = 1/3 per layer that is qualitatively distinct from a stacking of weakly coupled Laughlin states. The state…

Mesoscale and Nanoscale Physics · Physics 2011-08-26 Michael Levin , Matthew P. A. Fisher

A model system is considered where two dimensional electrons are confined by a harmonic potential in one direction, and are free in the other direction. Ground state in strong magnetic fields is investigated through numerical…

Condensed Matter · Physics 2009-10-22 Daijiro Yoshioka

We engineered a two-dimensional magnetic lattice in an elongated strip geometry, with effective per-plaquette flux ~4/3 times the flux quanta. We imaged the localized edge and bulk states of atomic Bose-Einstein condensates in this strip,…

Quantum Gases · Physics 2015-10-05 B. K. Stuhl , H. -I Lu , L. M. Aycock , D. Genkina , I. B. Spielman

Viewpoint on Nigel R. Cooper and Jean Dalibard, "Reaching Fractional Quantum Hall States with Optical Flux Lattices", Phys. Rev. Lett. 110, 185301 (2013), and N. Y. Yao, A. V. Gorshkov, C. R. Laumann, A. M. L\"auchli, J. Ye, and M. D.…

Strongly Correlated Electrons · Physics 2013-05-31 Maria Daghofer , Masudul Haque

Rydberg atom arrays offer promising platforms for quantum simulation of correlated quantum matter and raise great interests. This work proposes a novel stripe-lattice model with Raman superarray of Rydberg atoms to realize bosonic…

Quantum Gases · Physics 2024-12-30 Ting-Fung Jeffrey Poon , Xin-Chi Zhou , Bao-Zong Wang , Tian-Hua Yang , Xiong-Jun Liu

Considerable efforts are currently devoted to the preparation of ultracold neutral atoms in the emblematic strongly correlated quantum Hall regime. The routes followed so far essentially rely on thermodynamics, i.e. imposing the proper…

Quantum Gases · Physics 2012-08-31 Marco Roncaglia , Matteo Rizzi , Jean Dalibard

Fractional quantum Hall systems are among the most exciting strongly correlated systems. Accessing them microscopically via quantum simulations with ultracold atoms would be an important achievement toward a better understanding of this…

We propose and study various realizations of a Hofstadter-Hubbard model on a cylinder geometry with fermionic cold atoms in optical lattices. The cylindrical optical lattice is created by copropagating Laguerre-Gauss beams, i.e.~light beams…

Realizing fractional quantum Hall (FQH) states in ultracold atomic systems remains a major goal despite numerous experimental advances in the last few decades. Recent progress in trap anisotropy control under rapid rotation has renewed…

Quantum Gases · Physics 2025-08-22 Umut Tanyeri , Ahmed Kallushi , Rıfat Onur Umucalılar , Ahmet Keleş

We consider fractional quantum Hall states built on Laughlin's original N-body wave-functions, i.e., they are of the form holomorphic times gaussian and vanish when two particles come close, with a given polynomial rate. Such states appear…

Mathematical Physics · Physics 2016-01-06 Nicolas Rougerie , Jakob Yngvason

We study the phase transitions of bosonic $\nu=1/2$ fractional quantum Hall (FQH) effect in different topological lattice models under the interplay of onsite periodic potential and Hubbard repulsion. Through exact diagonalization and…

Strongly Correlated Electrons · Physics 2021-02-17 Tian-Sheng Zeng

We study the groundstates of cold atomic gases on rotating optical lattices, as described by the Bose-Hubbard model in a uniform effective magnetic field. Mapping the bosons to composite fermions leads to the prediction of quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2009-09-04 Gunnar Moller , Nigel R. Cooper

The construction of fractional quantum Hall (FQH) states from the two-dimensional array of quantum wires provides a useful way to control strong interactions in microscopic models and has been successfully applied to the Laughlin,…

Mesoscale and Nanoscale Physics · Physics 2017-03-29 Y. Fuji , P. Lecheminant