Microscopic Density-Dependent Feedback in Bosonic Mean-Field Dynamics: A Bounded-Kernel Propagation-of-Chaos Theorem
Authors/Creators
Description
This version presents the Journal of Statistical Physics submission form of the manuscript.
The paper studies propagation of chaos for a bosonic mean-field model with microscopic density-dependent feedback. In the finite-particle dynamics, the additional phase field is generated by the normalized one-particle marginal density of the evolving many-body state itself, rather than being prescribed externally or taken from a limiting reference trajectory.
The result is formulated in the bounded-kernel regime and proves a closed Pickl propagation estimate on fixed time intervals. The main technical point is a feedback closure mechanism: the density mismatch controls the feedback-field error through the trace distance of one-particle marginals, while the off-condensate projection supplies the second factor needed to close the estimate.
This version includes the post-AHP repositioning and the submission-facing framing for Journal of Statistical Physics. The Annales Henri Poincare route is closed; the Journal of Statistical Physics route is active under manuscript ID JOSS-D-26-00226.