Coherent generation of photonic fractional quantum Hall states in a cavity and the search for anyonic quasiparticles

Abstract

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 fractional exchange statistics. In this protocol, we use a rapid adiabatic passage scheme to sequentially add polaritons to the system, such that the system is coherently driven from $n$- to $(n+1)$-particle Laughlin states. Quasiholes are created by slowly moving local pinning potentials in from outside the cloud. They are braided by dragging the pinning centers around one another, and the resulting phases are measured interferometrically. The most technically challenging issue with implementing our procedure is that maintaining adiabaticity and coherence requires that the two-particle interaction energy $V_0$ be sufficiently large compared to the single-polariton decay rate $\gamma$, $V_0/\gamma \gg 10N^2\ln N$, where $N$ is the number of particles in the target state. While this condition is very demanding for present-day experiments where $V_0/\gamma \sim 50$, our protocol presents a significant advance over the existing protocols in the literature.

Published version: 11 pages + references, 10 figures

References in corpus (31)

• Many-Body Physics with Ultracold Gases
• Non-Abelian Anyons and Topological Quantum Computation
• The Quantum Internet
• Topological Photonics
• Topological Photonics
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Quantum fluids of light
• Bose-Einstein condensation of photons in an optical microcavity
• Quantum information transfer using photons
• Observation of Resonant Photon Blockade at Microwave Frequencies using Correlation Function Measurements
• Anyons and the quantum Hall effect - a pedagogical review
• Topologically Robust Transport of Photons in a Synthetic Gauge Field
• Fractional Quantum Hall Effect in Optical Lattices
• Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics
• Fractional Quantum Hall State in Coupled Cavities
• Composite Fermion Theory for Bosonic Atoms in Optical Lattices
• Light Engineering of the Polariton Landscape in Semiconductor Microcavities
• Experimental Evidence for Inhomogeneous-Pumping and Energy-Dependent Effects in Photon Bose-Einstein Condensation
• Induced self-stabilization in fractional quantum Hall states of light
• Quarter-Flux Hofstadter Lattice in Qubit-Compatible Microwave Cavity Array
• Rotating Few-body Atomic Systems in the Fractional Quantum Hall Regime
• Dynamic Stark Effect in Strongly Coupled Microcavity Exciton-Polaritons
• Hall effects in Bose-Einstein condensates in a rotating optical lattice
• Fractional Quantum Hall States of Rydberg Polaritons
• Topological growing of Laughlin states in synthetic gauge fields
• First-order spatial coherence measurements in a thermalized two-dimensional photonic quantum gas
• Generation and spectroscopic signatures of a fractional quantum Hall liquid of photons in an incoherently pumped optical cavity
• Quantum Crystals and Laughlin Droplets of Cavity Rydberg Polaritons
• Stirring trapped atoms into fractional quantum Hall puddles
• Photons and polaritons in a time-reversal-broken non-planar resonator
• Creating fractional quantum Hall states with atomic clusters using light-assisted insertion of angular momentum

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• Time-of-Flight Measurements as a Possible Method to Observe Anyonic Statistics
• Many-Body Open Quantum Systems
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• Anyonic molecules in atomic fractional quantum Hall liquids: a quantitative probe of fractional charge and anyonic statistics
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• Quantum simulation of zero temperature quantum phases and incompressible states of light via non-Markovian reservoir engineering techniques
• Adiabatic flux insertion and growing of Laughlin states of cavity Rydberg polaritons
• Stabilizing the Laughlin state of light: dynamics of hole fractionalization
• Ring-shaped fractional quantum Hall liquids with hard-wall potentials
• Relativistic Anyon Beam: Construction and Properties