Statistically induced phase transitions and anyons in 1D optical lattices

Keilmann, Tassilo, Lanzmich, Simon, McCulloch, Ian and Roncaglia, Marco (2011) Statistically induced phase transitions and anyons in 1D optical lattices. Nature Communications, 2 1: 361-1-361-7. doi:10.1038/ncomms1353

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Author Keilmann, Tassilo
Lanzmich, Simon
McCulloch, Ian
Roncaglia, Marco
Title Statistically induced phase transitions and anyons in 1D optical lattices
Journal name Nature Communications   Check publisher's open access policy
ISSN 2041-1723
Publication date 2011-06
Sub-type Article (original research)
DOI 10.1038/ncomms1353
Open Access Status File (Publisher version)
Volume 2
Issue 1
Start page 361-1
End page 361-7
Total pages 7
Place of publication London, United Kingdom
Publisher Nature Publishing Group
Collection year 2012
Language eng
Formatted abstract
Anyons-particles carrying fractional statistics that interpolate between bosons and fermions-have been conjectured to exist in low-dimensional systems. In the context of the fractional quantum Hall effect, quasi-particles made of electrons take the role of anyons whose statistical exchange phase is fixed by the filling factor. Here we propose an experimental setup to create anyons in one-dimensional lattices with fully tuneable exchange statistics. In our setup, anyons are created by bosons with occupation-dependent hopping amplitudes, which can be realized by assisted Raman tunnelling. The statistical angle can thus be controlled in situ by modifying the relative phase of external driving fields. This opens the fascinating possibility of smoothly transmuting bosons via anyons into fermions and of inducing a phase transition by the mere control of the particle statistics as a free parameter. In particular, we demonstrate how to induce a quantum phase transition from a superfluid into an exotic Mott-like state where the particle distribution exhibits plateaus at fractional densities. © 2011 Macmillan Publishers Limited. All rights reserved.
Keyword Tonks-girardeau gas
Mott insulator
Fractional statistics
Ultracold atoms
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Article number 361

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2012 Collection
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Citation counts: TR Web of Science Citation Count  Cited 42 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 42 times in Scopus Article | Citations
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