Fig. 4: Proliferation of spacetime vortices in quadrant IV.
From: Multicomponent Kardar-Parisi-Zhang universality in degenerate coupled condensates
SCGLE simulations with parameters vd = 0, kd = ud = μd = 1 and kc = 3, uc = 1.5 and tuning \({\tilde{v}}_{c}\) from 0 to − 1.2. a Probability of a vortex in the spacetime lattice for unrotated θ1, θ2 as a function of interaction \({\tilde{v}}_{c}\). Inline plot shows that tuning \({\tilde{v}}_{c}\) traces a path in the (X, Y) plane from the decoupled point (1, 1), which lies in Quadrant I (KPZ) in blue to Quadrant IV (STV) in red. b, c The autocorrelation Δ(t1 − t2) of the unwound phase for rotated coordinates \({\tilde{\theta }}_{1}\) and \({\tilde{\theta }}_{2}\), respectively, showing a crossover to the STV regime, when tuning \({\tilde{v}}_{c}\) between 0 to − 1.2, plotted from bottom to top. In black we plot the expected relationships for Edwards–Wilkinson (EW), KPZ and the spacetime vortex (STV) phase.
