Stern-Gerlach splitters for lattice quasispin
Quantum Physics
2016-07-27 v2
Abstract
We design a Stern-Gerlach apparatus that separates quasispin components on the lattice, without the use of external fields. The effect is engineered using intrinsic parameters, such as hopping amplitudes and on-site potentials. A theoretical description of the apparatus relying on a generalized Foldy-Wouthuysen transformation beyond Dirac points is given. Our results are verified numerically by means of wavepacket evolution, including an analysis of Zitterbewegung on the lattice. The necessary tools for microwave realizations, such as complex hopping amplitudes and chiral effects, are simulated.
Cite
@article{arxiv.1603.09417,
title = {Stern-Gerlach splitters for lattice quasispin},
author = {A. S. Rosado and J. A. Franco-Villafañe and C. Pineda and E. Sadurní},
journal= {arXiv preprint arXiv:1603.09417},
year = {2016}
}
Comments
10 pages, 11 figures, added closest version to the published one; corrected typos, formulas and figures rearranged, added appendix