Spin projection chromatography
Ernesto P. Danieli, Horacio M. Pastawski, Patricia R. Levstein

TL;DR
This paper develops a theoretical framework for spin projection chromatography by analyzing many-body spin dynamics at high temperature using the Keldysh formalism, revealing parity-dependent excitation velocities in small rings.
Contribution
It introduces a novel analytical approach to spin dynamics and demonstrates parity-dependent effects enabling spin projection filtering.
Findings
Analytical expressions for spin dynamics in XY models.
Parity-dependent group velocities in small spin rings.
Potential for dynamical spin projection filtering.
Abstract
We formulate the many-body spin dynamics at high temperature within the non-equilibrium Keldysh formalism. For the simplest XY interaction, analytical expressions in terms of the one particle solutions are obtained for linear and ring configurations. For small rings of even spin number, the group velocities of excitations depend on the parity of the total spin projection. This should enable a dynamical filtering of spin projections with a given parity i.e. a Spin projection chromatography.
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