  We establish a set of nonequilibrium quantum phase transitions in the
Lipkin-Meshkov-Glick model under monochromatic modulation of the inter-particle
interaction. We show that the external driving induces a rich phase diagram
that characterizes the multistability in the system. Interestingly, the number
of stable configurations can be tuned by increasing the amplitude of the
driving field. Furthermore, by studying the quantum evolution, we demonstrate
that the system exhibits a set of quantum phases that correspond to dynamically
stabilized states.
