Landau-Zener formula and non-secular transitions

TL;DR

This paper explores the connection between the Landau-Zener model and non-secular master equations, providing insights into quantum photosynthesis and energy resonance phenomena involving vibron and exciton states.

Contribution

It introduces a novel approach linking the Landau-Zener formula with non-secular master equations to better understand quantum energy transfer processes.

Findings

Established a theoretical relationship between Landau-Zener transitions and non-secular master equations.

Applied the approach to quantum photosynthesis, explaining vibron-exciton energy resonance.

Enhanced understanding of energy transfer mechanisms in quantum biological systems.

Abstract

The relationship between the Landau-Zener model (which describes transitions between energy levels for a time-dependent Hamiltonian) and non-secular master equations is discussed. This approach allows to describe the widely discussed in the literature on quantum photosynthesis resonance of the energy of the vibron and the difference of exciton energies for transitions between exciton states coupled to the vibron.