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We present a robust scheme by which fractional quantum Hall states of bosons can be achieved for ultracold atomic gases. We describe a new form of optical flux lattice, suitable for commonly used atomic species with groundstate angular…

Quantum Gases · Physics 2013-05-01 Nigel R. Cooper , Jean Dalibard

We propose a realistic scheme to create motional entangled states of a few bosonic atoms. It can experimentally be realized with a gas of ultra cold bosonic atoms trapped in a deep optical lattice potential. By simultaneously deforming and…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 M. Popp , B. Paredes , J. I. Cirac

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

Strongly interacting topological matter exhibits fundamentally new phenomena with potential applications in quantum information technology. Emblematic instances are fractional quantum Hall states, where the interplay of magnetic fields and…

Atomic vapors can be prepared and manipulated at very low densities and temperatures. When they are rotating, they can reach a quantum Hall regime in which there should be manifestations of the fractional quantum Hall effect. We discuss the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 N. Regnault , Th. Jolicoeur

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 describe a method to create fractional quantum Hall states of atoms confined in optical lattices. We show that the dynamics of the atoms in the lattice is analogous to the motion of a charged particle in a magnetic field if an…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Anders S. Sorensen , Eugene Demler , Mikhail D. Lukin

We propose a scheme to realize the fractional quantum Hall system with atoms confined in a two-dimensional array of coupled cavities. Our scheme is based on simple optical manipulation of atomic internal states and inter-cavity hopping of…

Quantum Physics · Physics 2009-01-20 Jaeyoon Cho , Dimitris G. Angelakis , Sougato Bose

We employ the exact diagonalization method to analyze the possibility of generating strongly correlated states in two-dimensional clouds of ultracold bosonic atoms which are subjected to a geometric gauge field created by coupling two…

Quantum Gases · Physics 2012-05-04 B. Juliá-Díaz , T. Graß , N. Barberán , M. Lewenstein

We present and analyze a protocol in which polaritons in a noncoplanar optical cavity form fractional quantum Hall states. We model the formation of these states and present techniques for subsequently creating anyons and measuring their…

Quantum Gases · Physics 2018-03-16 Shovan Dutta , Erich J. Mueller

We theoretically explore the generation of few-body analogs of fractional quantum Hall states. We consider an array of identical few-atom clusters (n=2,3,4), each cluster trapped at the node of an optical lattice. By temporally varying the…

Quantum Gases · Physics 2009-04-15 Stefan K. Baur , Kaden R. A. Hazzard , Erich J. Mueller

Strong synthetic magnetic fields have been successfully implemented in periodically driven optical lattices. However, the interplay of the driving and interactions introduces detrimental heating, and for this reason it is still challenging…

Quantum Gases · Physics 2019-12-02 Ana Hudomal , Nicolas Regnault , Ivana Vasić

Highly tunable platforms for realizing topological phases of matter are emerging from atomic and photonic systems, and offer the prospect of designing interactions between particles. The shape of the potential, besides playing an important…

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

Preparing fractional quantum Hall (FQH) states represents a key challenge for quantum simulators. While small Laughlin-type states have been realized by manipulating two atoms or two photons, scaling up these settings to larger ensembles…

Quantum Gases · Physics 2025-07-14 Ling-Na Wu , Xikun Li , Nathan Goldman , Botao Wang

Topologically-ordered matter is a novel quantum state of matter observed only in a small number of physical systems, notably two-dimensional electron systems exhibiting fractional quantum Hall effects. It was recently proposed that a simple…

Quantum Gases · Physics 2010-07-19 Nathan Gemelke , Edina Sarajlic , Steven Chu

We study the anisotropic effect of the Coulomb interaction on a 1/3-filling fractional quantum Hall system by using an exact diagonalization method on small systems in torus geometry. For weak anisotropy the system remains to be an…

Strongly Correlated Electrons · Physics 2012-07-18 Hao Wang , Rajesh Narayanan , Xin Wan , Fuchun Zhang

The implementation of the fractional quantum Hall effect in ultracold atomic quantum gases remains, despite substantial advances in the field, a major challenge. Since atoms are electrically neutral, a key ingredient is the generation of…

Quantum Gases · Physics 2020-05-08 Daniel Babik , Roberto Röll , David Helten , Michael Fleischhauer , Martin Weitz

A fundamental requirement for quantum technologies is the ability to coherently control the interaction between electrons and photons. However, in many scenarios involving the interaction between light and matter, the exchange of linear or…

We show how to realize two-component fractional quantum Hall phases in monolayer graphene by optically driving the system. A laser is tuned into resonance between two Landau levels, giving rise to an effective tunneling between these two…

Strongly Correlated Electrons · Physics 2017-12-18 Areg Ghazaryan , Tobias Graß , Michael J. Gullans , Pouyan Ghaemi , Mohammad Hafezi
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