Journal
NEW JOURNAL OF PHYSICS
Volume 17, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/17/12/123016
Keywords
anyons; Anyon-Hubbard model; the fractional Jordan-Wigner transformation; the quasi-momentum distribution; one-dimensional lattice
Categories
Funding
- Science Foundation of Heilongjiang [A201002]
- Chinese Scholarship Council (CSC)
- German Research Foundation (DFG) [SFB/TR49]
- Volkswagen Foundation via the German-Uzbek Project Anyon Physics of Ultracold Atomic Gases
Ask authors/readers for more resources
Using the Anyon-Hubbard Hamiltonian, we analyze the ground-state properties of anyons in a one-dimensional lattice. To this end we map the hopping dynamics of correlated anyons to an occupation-dependent hopping Bose-Hubbard model using the fractional Jordan-Wigner transformation. In particular, we calculate the quasi-momentum distribution of anyons, which interpolates between Bose-Einstein and Fermi-Dirac statistics. Analytically, we apply a modified Gutzwiller mean-field approach, which goes beyond a classical one by including the influence of the fractional phase of anyons within the many-body wavefunction. Numerically, we use the density-matrix renormalization group by relying on the ansatz of matrix product states. As a result it turns out that the anyonic quasi-momentum distribution reveals both a peak-shift and an asymmetry which mainly originates from the nonlocal string property. In addition, we determine the corresponding quasi-momentum distribution of the Jordan-Wigner transformed bosons, where, in contrast to the hard-core case, we also observe an asymmetry for the soft-core case, which strongly depends on the particle number density.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available