Radio-frequency manipulation of state populations in an entangled fluorine-muon-fluorine system
David Billington, Edward Riordan, Majdi Salman, Daniel Margineda,, George J.W. Gill, Stephen P. Cottrell, Iain McKenzie, Tom Lancaster, Michael, J. Graf, and Sean R. Giblin

TL;DR
This paper demonstrates the manipulation of entangled spin states in a fluorine-muon-fluorine system using radio-frequency magnetic fields, enabling spectroscopic probing of quantum entanglement.
Contribution
It introduces a method to control and analyze entangled spin states in a solid using RF magnetic excitation and a semiclassical model for muon spin evolution.
Findings
Radio-frequency fields can manipulate entangled spin populations.
Experimental control of muon spin polarization is achieved.
A semiclassical model explains the observed spin dynamics.
Abstract
Entangled spin states are created by implanting muons into single crystal LiY0.95Ho0.05F4 to form a cluster of correlated, dipole-coupled local magnetic moments. The resulting states have well-defined energy levels allowing experimental manipulation of the state populations by electromagnetic excitation. Experimental control of the evolution of the muon spin polarization is demonstrated through application of continuous, radio-frequency magnetic excitation fields. A semiclassical model of quantum, dipole-coupled spins interacting with a classical, oscillating magnetic field accounts for the muon spin evolution. On application of the excitation field, this model shows how changes in the state populations lead to the experimentally observed effects, thus enabling a spectroscopic probe of entangled spin states with muons.
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