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

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

2009-01-09

arxiv.org/abs/0901.1224v3

Phys. Rev. A 79, 043633 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 4 figures, published version in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.79.043633

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 ($\chi =1$) and Fermi limit ($\chi=0$) 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 behaviours from the Bose limit to the Fermi limit.

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