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Local exclusion principle for identical particles obeying intermediate and fractional statistics
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0003-3456-5846
University of Copenhagen.
2013 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 88, no 6, 062106- p.Article in journal (Refereed) Published
Abstract [en]

A local exclusion principle is observed for identical particles obeying intermediate and fractional exchange statistics in one and two dimensions, leading to bounds for the kinetic energy in terms of the density. This has implications for models of Lieb-Liniger and Calogero-Sutherland type and implies a nontrivial lower bound for the energy of the anyon gas whenever the statistics parameter is an odd numerator fraction. We discuss whether this is actually a necessary requirement.

Place, publisher, year, edition, pages
2013. Vol. 88, no 6, 062106- p.
Keyword [en]
anyons, intermediate and fractional statistics, energy bounds, Lieb-Thirring inequalities, many-body quantum mechanics
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:kth:diva-138837DOI: 10.1103/PhysRevA.88.062106ISI: 000328674600004Scopus ID: 2-s2.0-84891691913OAI: oai:DiVA.org:kth-138837DiVA: diva2:681820
Funder
EU, European Research Council, 321029
Note

QC 20140121

Available from: 2013-12-20 Created: 2013-12-20 Last updated: 2017-12-06Bibliographically approved

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Lundholm, Douglas

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