Fractional Excitations in Cold Atomic Gases
Quantum Gases
2015-06-11 v1
Abstract
We study the behavior of excitations in the tilted one-dimensional Bose-Hubbard model. In the phase with broken symmetry, fundamental excitations are domain-walls which show fractional statistics. Using perturbation theory, we derive an analytic model for the time evolution of these fractional excitations, and demonstrate the existence of a repulsively bound state above a critical center of mass momentum. The validity of the perturbative analysis is confirmed by the use of t- DMRG simulations. These findings open the path for experimental detection of fractional particles in cold atomic gases.
Cite
@article{arxiv.1210.1400,
title = {Fractional Excitations in Cold Atomic Gases},
author = {Jens Honer and Jad C. Halimeh and Ian McCulloch and Ulrich Schollwöck and Hans Peter Büchler},
journal= {arXiv preprint arXiv:1210.1400},
year = {2015}
}
Comments
5 pages, 4 figures