Optimal control of an inhomogeneous spin ensemble coupled to a cavity

TL;DR

This paper develops optimal control methods for inhomogeneous spin ensembles coupled to cavities, demonstrating improved detection sensitivity and robustness against uncertainties through numerical simulations based on recent ESR experiments.

Contribution

It introduces a general procedure for designing robust control strategies for spin-cavity systems, applicable across different coupling regimes.

Findings

Optimal control fields enhance detection sensitivity.

Control strategies are robust against system uncertainties.

Numerical simulations validate the approach in ESR-like conditions.

Abstract

We apply optimal control techniques to an inhomogeneous spin ensemble coupled to a cavity. A general procedure is proposed for designing the control strategies. We numerically show the extent to which optimal control fields robust against system uncertainties help enhancing the sensitivity of the detection process. The parameters of the numerical simulations are taken from recent Electron Spin Resonance experiments. The low and high cooperativity regimes are explored.