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The ability to modify light-matter coupling in time (e.g. using externalpulses) opens up the exciting possibility of generating and probing new aspectsof quantum correlations in many-body light-matter systems. Here we study theimpact of such a pulsed coupling on the light-matter entanglement in the Dickemodel as well as the respective subsystem quantum dynamics. Our dynamicalmany-body analysis exploits the natural partition between the radiation andmatter degrees of freedom, allowing us to explore time-dependentintra-subsystem quantum correlations by means of squeezing parameters, and theinter-subsystem Schmidt gap for different pulse duration (i.e. rampingvelocity) regimes -- from the near adiabatic to the sudden quench limits. Ourresults reveal that both types of quantities indicate the emergence of thesuperradiant phase when crossing the quantum critical point. In addition, atthe end of the pulse light and matter remain entangled even though they becomeuncoupled, which could be exploited to generate entangled states innon-interacting systems.

Dynamics of Entanglement and the Schmidt Gap in a Driven Light-Matter System