Non-Markovian Hamiltonian Dynamics of Boson-Mediated Energy Transfer: Addressing the Warm Quantum Paradox in Photosynthetic Complexes

Photosynthetic light-harvesting complexes exhibit near-unity quantum efficiency at physiological temperatures, a phenomenon that defies classical thermodynamic expectations and challenges standard quantum decoherence models. This “warm quantum” behavior suggests that biological systems have evolved mechanisms to protect fragile electronic coherence against the intense thermal noise of their environment. We propose a unified theoretical framework where bosonic fields (phonons) act not as disruptive noise, but as structured “signals” that direct fermionic workers (excitons) through complex energy landscapes. By implementing a non-Markovian Stochastic Schrödinger Equation (SSE) simulation with Ornstein-Uhlenbeck colored noise, we demonstrate that the protein environment actively modulates system-bath coupling to maintain optimal transport efficiency. Our results reveal that memory effects in the phonon bath serve as a “self-repairing” mechanism, preserving functional coherence for >500 fs. Furthermore, we extend this “boson signal” hypothesis to condensed matter physics, demonstrating via thermodynamic stability analysis that while driven bosonic fields can enhance pairing potentials in synthetic materials, Joule heating imposes a strict “Goldilocks” operational window for photon-induced superconductivity.