Dynamical phases in the driven-dissipative Lipkin-Meshkov-Glick model
We investigate the dynamical phases that result from driving the spin-spin interaction parameter of the Lipkin-Meshkov-Glick model in the presence of dissipation. Apart from the normal and symmetry-broken phases of the undriven case, we discover two additional phases that are exclusively found when the system is under external driving. We present a set of phase diagrams as a function of the driving amplitude and frequency at different dissipation and interaction strengths. We observe that all four phases are accessible when the interaction term is close to the critical coupling strength of the undriven case, and that the area in the phase diagram occupied by the period-doubling phase is the largest in this regime. In the absence of dissipation, we do not observe any period doubling.