Scaling Behavior in Noisy Dicke Model Simulations: Parameter Dependence and Phase Diagram Analysis

"We report the systematic characterization of a phase transition in information fragmentation within open quantum systems. Using the Lindblad master equation formalism on NVIDIA A100 GPU hardware, we map the scaling behavior of collective intensity across noise amplitudes ($\gamma_\phi$) from $0.0001$ to $100$. We identify three distinct regimes: Coherent Phase: Stable integration with α ≈ 0. Enhanced Collective Phase: Unexpected super-radiant scaling (α ≈ +1.7$) at intermediate noise. Fragmented Phase: Functional collapse characterized by the '-1.36 scaling law' (observed range -1.12 to -1.58). This repository provides the full QuTiP simulation framework, raw data for the phase diagram, and the manuscript establishing these scaling laws as a quantitative signature for quantum-classical boundaries."