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

Authors
Mueller, Erich J 

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Article
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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 V0 be sufficiently large compared to the single-polariton decay rate γ, V0/γ≫10N2ln⁡N, where N is the number of particles in the target state. While this condition is very demanding for present-day experiments where V0/γ∼50, our protocol presents a significant advance over the existing protocols in the literature.

Publication Date
2018
Online Publication Date
2018-03-15
Acceptance Date
2018-02-13
Keywords
cond-mat.quant-gas, cond-mat.quant-gas, physics.optics
Journal Title
PHYSICAL REVIEW A
Journal ISSN
2469-9926
2469-9934
Volume Title
97
Publisher
American Physical Society (APS)
Rights
All rights reserved
Sponsorship
National Science Foundation Grant No. PHY-1508300