Coherent generation of photonic fractional quantum Hall states in a cavity and the search for anyonic quasiparticles
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Publication Date
2018Journal Title
PHYSICAL REVIEW A
ISSN
2469-9926
Publisher
American Physical Society (APS)
Volume
97
Issue
3
Number
ARTN 033825
Type
Article
This Version
AM
Metadata
Show full item recordCitation
Dutta, S., & Mueller, E. J. (2018). Coherent generation of photonic fractional quantum Hall states in a cavity and the search for anyonic quasiparticles. PHYSICAL REVIEW A, 97 (3. ARTN 033825) https://doi.org/10.1103/PhysRevA.97.033825
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.
Sponsorship
National Science Foundation Grant No. PHY-1508300
Identifiers
External DOI: https://doi.org/10.1103/PhysRevA.97.033825
This record's URL: https://www.repository.cam.ac.uk/handle/1810/299189
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