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Manipulating anyons in quantum Hall droplets of light using dissipations

2021/06/29 by Yangqian Yan, Qi Zhou, Yan, Yangqian +1
Computer Science · Physics and Astronomy · #Atomic and Subatomic Physics Research #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Neural Networks and Reservoir Computing #Quantum Gases (cond-mat.quant-gas) #Quantum and electron transport phenomena #cond-mat.mes-hall #cond-mat.quant-gas

paper · pdf · doi:10.48550/arxiv.2106.15726

6+5 pages, 3+2 figures

arxiv created 2021/06/29 · openalex publication_date 2021/06/29 · arxiv updated 2021/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Whereas anyons are the building blocks in topological quantum computation, it remains challenging to create and control each anyon individually. Here, we point out that dissipative dynamics in cavities deterministically deliver droplets of light in desired fractional quantum Hall states. In these quantum Hall droplets, both the number and locations of anyons are precisely controllable without requiring extra potentials to imprint and localize such quasiparticles. Using the density profile of light, the anyonic statistics is readily accessible. Moreover, entangling a quantum spin valve with these quantum Hall droplets establishes a direct readout of the braiding statistics. Our work unfolds a promising route for quantum optics to solve challenging problems in quantum Hall physics.

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