# Bio-energy Transport as a Phonon Dressed Vibrational Exciton in Protein Molecules

## TL;DR

This paper models bio-energy transport in proteins as a phonon dressed vibrational exciton, revealing oscillatory behavior, energy gain, and dissipation influenced by temperature and coupling, based on quantum Langevin dynamics.

## Contribution

It introduces a quantum Brownian motion model for vibrational excitons in proteins, analyzing their dynamics and energy exchange with the environment.

## Key findings

- Oscillatory behaviors due to super-diffusive dissipation
- Energy gain from phonon bath depends on temperature
- Energy dissipation and oscillations influenced by phonon-vibron coupling

## Abstract

Following the ideas of Davydov's soliton theory, we study the bio-energy transport in protein molecules. By using a quantum Brownian motion model for a phonon dressed vibrational exciton, we calculate the time-dependence on the mean square distance, diffusion coefficient, and energy of the vibrational exciton. We find the time-dependence by solving the quantum Langevin equation and find oscillatory behaviors due to the super-diffusive non-ohmic dissipation. We find that the vibrational exciton gains an overall energy due to the coupling to the phonon bath; it also dissipates its energy to the environment as it propagates. The amount of energy gain and the oscillatory features depend on both temperature and the phonon-vibron coupling.