Hannover 2016 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 46: Quantum Gases: Bosons V

Q 46.1: Vortrag

Donnerstag, 3. März 2016, 11:00–11:15, e001

Ground-State Properties of Anyons in a One-Dimensional Lattice — •Guixin Tang¹, Sebastian Eggert², and Axel Pelster² — ¹Physics Department, Harbin Institute of Technology, China — ²Physics Department and Research Center OPTIMAS, Technische Universität Kaiserslautern, Germany

Using the Anyon-Hubbard Hamiltonian, we analyze the ground-state properties of anyons in a one-dimensional lattice [1]. 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.

[1] G. Tang, S. Eggert, and A. Pelster, New J. Phys. (in press), arXiv:1509.01888