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It has recently been pointed out that phases of matter with intrinsic topological order, like the fractional quantum Hall states, have an extra dynamical degree of freedom that corresponds to quantum geometry. Here we perform extensive…

Strongly Correlated Electrons · Physics 2016-02-17 Sonika Johri , Z. Papic , P. Schmitteckert , R. N. Bhatt , F. D. M. Haldane

We propose a scheme to create an electronic Floquet vortex state by irradiating a two-dimensional semiconductor with the laser light carrying non-zero orbital angular momentum. We analytically and numerically study the properties of the…

Mesoscale and Nanoscale Physics · Physics 2022-02-23 Hwanmun Kim , Hossein Dehghani , Iman Ahmadabadi , Ivar Martin , Mohammad Hafezi

Alkaline-earth(-like) ultracold atoms, trapped in optical lattices and in the presence of an external gauge field, can stabilise Mott insulating phases characterised by density and magnetic order. We show that this property can be used to…

Quantum Gases · Physics 2017-06-14 Luca Taddia , Eyal Cornfeld , Davide Rossini , Leonardo Mazza , Eran Sela , Rosario Fazio

We investigate the ground state properties of a bosonic Harper-Hofstadter model with local interactions on a finite cylindrical lattice with filling fraction $\nu=1/2$. We find that our system supports topologically ordered states by…

Mesoscale and Nanoscale Physics · Physics 2019-03-12 Paolo Rosson , Michael Lubasch , Martin Kiffner , Dieter Jaksch

Model quantum Hall states including Laughlin, Moore-Read and Read-Rezayi states are generalized into appropriate anisotropic form. The generalized states are exact zero-energy eigenstates of corresponding anisotropic two- or multi-body…

Strongly Correlated Electrons · Physics 2012-03-29 R. -Z. Qiu , F. D. M. Haldane , Xin Wan , Kun Yang , Su Yi

Recent progress in nanoscale quantum optics and superconducting qubits has made the creation of strongly correlated, and even topologically ordered, states of photons a real possibility. Many of these states are gapped and exhibit anyon…

Mesoscale and Nanoscale Physics · Physics 2014-09-10 Eliot Kapit , Mohammad Hafezi , Steven H. Simon

A proposal of the existence of an {\em Anomalous} phase ($\mathcal{A}$ phase) [https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.131.056202 Das et al., Phys. Rev. Lett. 131, 056202 (2023)] at the experimental range of moderate…

Mesoscale and Nanoscale Physics · Physics 2024-03-13 Sudipto Das , Sahana Das , Sudhansu S. Mandal

In search of states with non-Abelian statistics, we explore the fractional quantum Hall effect in a system of two-dimensional charge carrier holes. We propose a new method of mapping states of holes confined to a finite width quantum well…

Mesoscale and Nanoscale Physics · Physics 2017-04-26 George Simion , Yuli Lyanda-Geller

We show how dipolar interactions between dysprosium atoms in an optical lattice can be used to obtain fractional quantum Hall states. In our approach, dysprosium atoms are trapped one atom per site in a deep optical lattice with negligible…

The parton theory constructs candidate fractional quantum Hall states by decomposing the physical particles into unphysical partons, placing the partons in integer quantum Hall states, and then gluing the partons back into the physical…

Strongly Correlated Electrons · Physics 2024-12-13 Koji Kudo , Jonathan Schirmer , Jainendra K. Jain

A seminal gedankenexperiment by Laughlin describes the charge transport in quantum Hall systems via the pumping of flux. Here, we propose an optical scheme which probes and manipulates quantum Hall systems in a similar way: When light…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Bin Cao , Tobias Grass , Glenn Solomon , Mohammad Hafezi

For the fast rotating quasi-two-dimensional dipolar fermions in the quantum Hall regime, the interaction between two dipoles breaks the rotational symmetry when the dipole moment has component in the the plane via being tuned by an external…

Strongly Correlated Electrons · Physics 2018-01-23 Zi-Xiang Hu , Qi Li , Lin-Peng Yang , Wu-Qing Yang , Na Jiang , Rui-Zhi Qiu , Bo Yang

We propose a method to stabilize Laughlin states of a large number of strongly interacting photons by combining a frequency-selective incoherent pump with a step-like potential in the angular momentum basis. Analytical expressions for the…

Quantum Gases · Physics 2021-08-10 Rifat Onur Umucalilar , Jonathan Simon , Iacopo Carusotto

A protocol is proposed to generate atomic entangled states in a cavity QED system. It utilizes Raman transitions or stimulated Raman adiabatic passages between two systems to entangle the ground states of two three-state $\Lambda$-type…

Quantum Physics · Physics 2010-04-13 Pengbo Li

We propose an exact model of anyon ground states including higher Landau levels, and use it to obtain fractionally quantized Hall states at filling fractions $\nu=p/(p(m-1)+1)$ with $m$ odd, from integer Hall states at $\nu=p$ through…

Mesoscale and Nanoscale Physics · Physics 2021-11-19 Martin Greiter , Frank Wilczek

We realize a Laughlin state of two rapidly rotating fermionic atoms in an optical tweezer. By utilizing a single atom and spin resolved imaging technique, we sample the Laughlin wavefunction, thereby revealing its distinctive features,…

Quantum Gases · Physics 2025-01-14 Philipp Lunt , Paul Hill , Johannes Reiter , Philipp M. Preiss , Maciej Gałka , Selim Jochim

This article introduces a novel approach to perform the simulation of a single qubit quantum algorithm using laser beams. Leveraging the polarization states of photonic qubits, and inspired by variational quantum eigensolvers, we develop a…

We demonstrate the experimental feasibility of incompressible fractional quantum Hall-like states in ultra-cold two dimensional rapidly rotating dipolar Fermi gases. In particular, we argue that the state of the system at filling fraction…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. A. Baranov , Klaus Osterloh , M. Lewenstein

Cooling atomic gases into strongly correlated quantum phases requires estimates of the entropy to perform thermometry and establish viability. We construct an ansatz partition function for models of Laughlin states of atomic gases by…

Quantum Gases · Physics 2017-03-24 P. T. Raum , V. W. Scarola

We propose a robust and decoherence insensitive scheme to generate controllable entangled states of two three-level atoms interacting with an optical cavity and a laser beam. Losses due to atomic spontaneous transitions and to cavity decay…

Quantum Physics · Physics 2007-05-23 Mahdi Amniat-Talab , Stephane Guerin , Hans-Rudolf Jauslin