Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.14/161833
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- Title
- Quantum walks with non-Abelian anyons
- Related
- Physical review letters, Vol. 106, No. 23, 230404, (2011), p.230404-1-230404-4
- DOI
- 10.1103/PhysRevLett.106.230404
- Publisher
- American Physical Society
- Date
- 2011
- FoR/RFCD Code(s)
-
010000 Mathematical Sciences
090000 Engineering
020000 Physical Sciences
- Author/Creator
- Lehman, Lauri
- Author/Creator
- Zatloukal, Vaclav
- Author/Creator
- Brennen, Gavin K
- Author/Creator
- Pachos, Jiannis K
- Author/Creator
- Wang, Zhenghan
- Description
- We study the single particle dynamics of a mobile non-Abelian anyon hopping around many pinned anyons on a surface, by modeling it with a discrete time quantum walk. During the evolution, the spatial degree of freedom of the mobile anyon becomes entangled with the fusion degrees of freedom of the collective system. Each quantum trajectory makes a closed braid on the world lines of the particles establishing a direct connection between statistical dynamics and quantum link invariants. We find that asymptotically a mobile Ising model anyon becomes so entangled with its environment that its statistical dynamics reduces to a classical random walk with linear dispersion in contrast to particles with Abelian statistics which have quadratic dispersion.
- Description
- 4 page(s)
- Subject Keyword
- 010000 Mathematical Sciences
- Subject Keyword
- 090000 Engineering
- Subject Keyword
- 020000 Physical Sciences
- Resource Type
- journal article
- Organisation
- Macquarie University. Dept. of Physics and Astronomy
- Identifier
- http://hdl.handle.net/1959.14/161833
- Identifier
- ISSN:0031-9007
- Identifier
- mq-rm-2011002277
- Language
- eng
- Reviewed
