Abstract We introduce entropic measures to quantify non-classical resource in hybrid spin-boson systems.We discuss the stabilizer Renyi entropy in the framework of phase space quantisation and definean analogous hybrid magic entropy and a mutual magic entropy that capture the distribution ofquantum magic across spin and bosonic subsystems. We use these entropic measures to demonstratetwo key phenomena: the detection of the superradiant phase transition in the Dicke model and thequantum dynamics of magic in the Jaynes-Cummings model. We develop a Monte Carlo numericalscheme to practically evaluate these entropic measures in interacting many-body systems.
Crew et al. (Tue,) studied this question.