Simulation Framework for Multistability in an Extended Coherent Quantum Field Mean-Field Model

This software package provides a complete numerical simulation framework for investigating multistability in an extended mean-field formulation of coherent quantum field dynamics coupled to dissipative environments. The code implements time-dependent integration of nonlinear mean-field equations, including coherent driving, dissipative feedback, and biologically motivated coupling terms. The framework supports systematic parameter scans, up- and down-sweep protocols for detecting hysteresis, seeded-basin analyses for identifying coexisting stable attractors, and robustness tests under additive stochastic noise. Automated verification routines are included to assess numerical convergence, branch separation, and stability across parameter regimes. The simulations accompanying this software demonstrate genuine multistability in a concrete parameter regime, characterized by the coexistence of distinct stationary attractors at identical control parameters. All scripts, configuration files, and output data are organized to enable full reproducibility of the reported results and to facilitate independent exploration of related dynamical regimes. This software supplement is intended for researchers interested in nonlinear dynamics, open quantum systems, and biologically inspired extensions of mean-field models. It can be used both to reproduce the numerical results reported in the associated theoretical work and as a basis for further investigations of multistable dynamics and noise effects in coupled quantum-field systems.