Numerical identification of three distinct phases in a $(2+1)D$ array of quantum dissipative Josephson junctions

We have performed large-scale Monte-Carlo simulations on a model describing a $(2+1)D$ array of quantum dissipative Josephson junctions. With the superconducting phases as our fundamental degrees of freedom we are able to identify three distinct phases as function of Josephson coupling and dissipation strength. Apart from the fully superconducting state, where fluctuations in both space and time are at bay, and the normal phase, characterized by wild fluctuations, we find an additional phase featuring spatial phase coherence coinciding with temporal disorder.