Optimal Diabatic Bases Via Thermodynamic Bounds
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gb_diabat.pdf
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1.91 MB
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Author(s)
Yeganeh, Sina
Van Voorhis, Troy
Date Issued
September 2010
Journal
Journal of Chemical Physics
Publisher
American Institute of Physics
Citation
Yeganeh, Sina, and Troy Van Voorhis. “Optimal Diabatic Bases via Thermodynamic Bounds.” The Journal of Chemical Physics 135.10 (2011): 104114. Web.
Version
Author's final manuscript
Abstract
Describing kinetic processes within a perturbation theory approach such as Fermi's golden rule requires an understanding of the initial and final states of the system. A number of different methods have been proposed for obtaining these diabatic-like states, but a robust criterion for evaluating their accuracy has not been established. Here, we approach the problem of determining the most appropriate set of diabatic states for use in incoherent rate expressions. We develop a method that rotates an initial set of diabats into an optimized set beginning with a zeroth-order diabatic Hamiltonian and choosing the rotation that minimizes the effect of non-diabatic terms on the thermodynamic free energy. The Gibbs-Bogoliubov (GB) bound on the Helmholtz free energy is thus used as the diabatic criterion. We first derive the GB free energy for a two site system and then find an expression general for any electronic system Hamiltonian. Efficient numerical methods are used to perform the minimization subject to orthogonality constraints, and we examine the resulting diabats for system Hamiltonians in various parameter regimes. The transition from localized to delocalized states is clearly seen in these calculations, and some interesting features are discussed.
MIT Department
Massachusetts Institute of Technology. Department of Chemistry
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1063/1.3626566
