Phys. Rev. A 79, 043633 (2009) [5 pages]

Ground-state properties of hard-core anyons in one-dimensional optical lattices

Abstract

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Yajiang Hao^1,2, Yunbo Zhang³, and Shu Chen^2,*
¹Department of Physics, University of Science and Technology Beijing, Beijing 100083, China
²Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100080, China
³Department of Physics and Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China

Received 7 January 2009; published 30 April 2009

We investigate the ground-state properties of anyons confined in one-dimensional optical lattices with a weak harmonic trap using the exact numerical method based on Jordan-Wigner transformation. It is shown that in the Bose limit (χ=1) and Fermi limit (χ=0) the momentum distributions are symmetric but in between they are asymmetric. It turns out that the origin of asymmetry comes from the fractional statistics that anyons obey. The occupation distribution and the modulus of natural orbitals show crossover behaviors from the Bose limit to the Fermi limit.

URL:

http://link.aps.org/doi/10.1103/PhysRevA.79.043633

DOI:

10.1103/PhysRevA.79.043633

PACS:

03.75.Hh, 05.30.Pr, 05.30.Jp, 05.30.Fk

^*schen@aphy.iphy.ac.cn

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Phys. Rev. A 79, 043633 (2009) [5 pages]

Ground-state properties of hard-core anyons in one-dimensional optical lattices