Hall Effect in spinor condensates
Mathieu Taillefumier, Eskil K. Dahl, Arne Brataas, Walter, Hofstetter

TL;DR
This paper investigates the spin-dependent Hall effect in neutral spinor condensates subjected to a periodic magnetic field, using simulations to quantify the phenomenon and discussing potential experimental setups.
Contribution
It introduces the concept of a spin-dependent Hall effect in spinor condensates induced by a periodic magnetic field, supported by Gross-Pitaevskii simulations.
Findings
Demonstration of a spin-dependent Lorentz force in condensates
Quantitative simulation results of the Hall effect
Discussion of experimental realization methods
Abstract
We consider a neutral spinor condensate moving in a periodic magnetic field. The spatially dependent magnetic field induces an effective spin dependent Lorentz force which in turn gives rise to a spin dependent Hall effect. Simulations of the Gross-Pitaevskii equation quantify the Hall effect. We discuss possible experimental realizations.
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