Stern-Gerlach splitters for lattice quasispin
arXiv:1603.09417 · doi:10.1103/PhysRevB.94.045129
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.
10 pages, 11 figures, added closest version to the published one; corrected typos, formulas and figures rearranged, added appendix
References in corpus (12)
- The electronic properties of graphene
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- Tunable gauge potential for neutral and spinless particles in driven lattices
- Measurement of Rashba and Dresselhaus spin-orbit magnetic fields
- 39-K Bose-Einstein condensate with tunable interactions
- Transient Zitterbewegung of charge carriers in graphene and carbon nanotubes
- Observation of a Dirac point in microwave experiments with a photonic crystal modeling graphene
- Dirac Point and Edge States in a Microwave Realization of Tight-Binding Graphene-like Structures
- Playing relativistic billiards beyond graphene
- Beyond Anderson Localization in 1D: Anomalous Localization of Microwaves in Random Waveguides
- Microwave Experiments Simulating Quantum Search and Directed Transport in Artificial Graphene
- Transparent lattices and their solitary waves