Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces
Researchers have developed a novel method to perturb Fokker-Planck dynamics using nonreversible gauge fields, which can deform relaxation spectra while preserving the invariant state. This approach maps reversible Fokker-Planck operators to supersymmetric Hamiltonians, with nonreversible gauges acting as non-Hermitian perturbations. The framework provides a unified language for understanding spectral gaps, probability currents, and control costs, and introduces an actor-critic procedure for learning these gauge fields. AI
IMPACT Introduces a new theoretical framework for understanding and learning dynamics in complex systems, potentially impacting AI research in areas like reinforcement learning and generative models.