dc.contributor.author Dutta, Shovan dc.contributor.author Mueller, Erich J dc.date.accessioned 2019-11-23T00:31:28Z dc.date.available 2019-11-23T00:31:28Z dc.date.issued 2018 dc.identifier.issn 2469-9926 dc.identifier.uri https://www.repository.cam.ac.uk/handle/1810/299189 dc.description.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 $\gamma$, $V_0 /\gamma \gg 10 N^2 \ln N$, 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. dc.description.sponsorship National Science Foundation Grant No. PHY-1508300 dc.publisher American Physical Society (APS) dc.rights All rights reserved dc.subject cond-mat.quant-gas dc.subject cond-mat.quant-gas dc.subject physics.optics dc.title Coherent generation of photonic fractional quantum Hall states in a cavity and the search for anyonic quasiparticles dc.type Article prism.issueIdentifier 3 prism.number ARTN 033825 prism.publicationDate 2018 prism.publicationName PHYSICAL REVIEW A prism.volume 97 dc.identifier.doi 10.17863/CAM.46254 dcterms.dateAccepted 2018-02-13 rioxxterms.versionofrecord 10.1103/PhysRevA.97.033825 rioxxterms.version AM rioxxterms.licenseref.uri http://www.rioxx.net/licenses/all-rights-reserved rioxxterms.licenseref.startdate 2018-03-15 dc.contributor.orcid Dutta, Shovan [0000-0002-3534-6920] dc.identifier.eissn 2469-9934 dc.publisher.url http://dx.doi.org/10.1103/PhysRevA.97.033825 rioxxterms.type Journal Article/Review cam.issuedOnline 2018-03-15 rioxxterms.freetoread.startdate 2019-03-15
﻿