Fig. 4
From: Statistical control of relaxation and synchronization in open anyonic systems
PT phase diagram: critical isotherms in the \((\theta , \xi )\) plane. Each curve corresponds to a critical boundary at fixed temperature \(kT/\hbar \omega\), above which the system enters the PT-broken regime. At low temperatures, any amount of correlation (\(\xi > 0\)) leads to PT symmetry breaking, especially near the bosonic limit (\(\theta = 0\)). As temperature increases, stronger correlations are needed to overcome thermal noise and induce the transition. For \(kT \gg \hbar \omega\), the statistical deformation saturates and \(\Gamma _\theta\) approaches its fermionic asymptote, suppressing the influence of \(\xi\).
