Stern-Gerlach splitters for lattice quasispin
A. S. Rosado, J. A. Franco-Villafa\~ne, C. Pineda, E. Sadurn\'i
TL;DR
This paper introduces a lattice-based Stern-Gerlach device that separates quasispin components intrinsically, using engineered parameters without external fields, supported by theoretical and numerical analysis including wavepacket dynamics.
Contribution
The work presents a novel lattice quasispin splitter design that operates without external fields, utilizing intrinsic parameters and advanced theoretical transformations.
Findings
Successful numerical verification of quasispin separation
Analysis of Zitterbewegung effects on the lattice
Simulation of microwave realization tools
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.
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