Phase transition in the periodically pulsed Dicke model

We study the effect of pulsed driving and kicked driving of the interaction term on the nonequilibrium phase transition in the Dicke model. Within the framework of Floquet theory, we observe the emergence of new nontrivial phases on impingement by such periodic pulses. Notably, our study reveals that a greater control over the dynamical quantum criticality is possible through the variation of multiple parameters related to the pulse, as opposed to a single parameter control in a monochromatic drive. Furthermore, the probability of the system remaining trapped in a metastable state during the observed first order transition from the superradiant to normal phase is found to be higher for small number of kicks (or pulses) in comparison to the sinusoidal perturbation.