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Probing Non-Abelian Statistics with Quasiparticle Interferometry

Bonderson, Parsa and Shtengel, Kirill and Slingerland, J. K. (2006) Probing Non-Abelian Statistics with Quasiparticle Interferometry. Physical Review Letters, 97 (1). Art. No. 016401. ISSN 0031-9007.

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We examine interferometric experiments in systems that exhibit non-Abelian braiding statistics, expressing outcomes in terms of the modular S-matrix. In particular, this result applies to fractional quantum Hall interferometry, and we give a detailed treatment of the Read-Rezayi states, providing explicit predictions for the recently observed nu=12/5 plateau.

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Additional Information:©2006 The American Physical Society (Received 28 January 2006; published 5 July 2006) The authors would like to thank E. Ardonne, S.B. Chung, P. Fendley, A. Kitaev, C. Nayak, J. Preskill, and Z. Wang for many illuminating discussions. This work was supported in part by the NSF under Grant No. EIA-0086038. P.B. and K.S. would like to acknowledge the hospitality of Microsoft Project Q and KITP. K.S. is also grateful for the hospitality of the IQI.
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Deposited On:12 Sep 2006
Last Modified:02 Oct 2019 23:17

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