# Electronic coherence in mixed-valence systems: Spectral analysis

Source: [Electronic coherence in mixed-valence systems: Spectral analysis](<https://www.sota2.com/research/paper/68fa1fae7a2b558e2932b6c1>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T19:11:38.360Z

Authors: Y. Jung, R. J. Silbey, J. Cao

Published: 2000-08-18T21:56:14.000Z

## Abstract

The electron transfer kinetics of mixed-valence systems is studied via solving the eigen-structure of the two-state non-adiabatic diffusion operator for a wide range of electronic coupling constants and energy bias constants. The calculated spectral structure consists of three branches in the eigen-diagram, a real branch corresponding to exponential or multi-exponential decay and two symmetric branches corresponding to population oscillations between donor and acceptor states. The observed electronic coherence is shown as a result of underdamped Rabi oscillations in an overdamped solvent environment. The time-evolution of electron population is calculated by applying the propagator constructed from the eigen-solution to the non-equilibrium initial preparation, and it agrees perfectly with the result of a direct numerical propagation of the density matrix. The resulting population dynamics confirms that increasing the energy bias destroys electronic coherence.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/physics/0008164>)

[PDF](<https://arxiv.org/pdf/physics/0008164.pdf>)