The polarization behavior of a system of two interacting identical spins 1/2 in adiabatically varying magnetic field

Abstract:We derive the density matrix of a nonstationary system in the adiabatic representation and obtain the corresponding Liouville equation. This representation is particularly suitable when the standard interaction representation is inapplicable. We illustrate the approach with two identical, spatially separated spin-1/2 particles coupled by a magnetic dipole-dipole interaction in a slowly varying external magnetic field. Specifically, we analyze the spin polarization of pseudo-qutrit states in regimes where the states become entangled. The application of the adiabatic representation to calculate the dependence of observed physical quantities on time for quantum systems is illustrated. Our results show that entangled states can significantly modify the behavior of these observables and provide additional opportunities for their control.

arXiv:2610.08147 [quant-ph]

(or arXiv:2610.08147v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2610.08147 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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