English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

A direct numerical algorithm for solving the time-nonlocal non-Markovianmaster equation in the second Born approximation is introduced and the range ofutility of this approximation, and of the Markov approximation, is analyzed forthe traditional dimer system that models excitation energy transfer inphotosynthesis. Specifically, the coupled integro-differential equations forthe reduced density matrix are solved by an efficient auxiliary function methodin both the energy and site representations. In addition to giving exactresults to this order, the approach allows us to computationally assess therange of the reorganization energy and decay rates of the phononauto-correlation function for which the Markovian Redfield theory and thesecond order approximation is valid. For example, the use of Redfield theoryfor $\lambda> 10 \textrm{cm}^{-1}$ in systems like Fenna-Mathews-Olson (FMO)type systems is shown to be in error. In addition, analytic inequalities areobtained for the regime of validity of the Markov approximation in cases ofweak and strong resonance coupling, allowing for a quick determination of theutility of the Markovian dynamics in parameter regions. Finally, results forthe evolution of states in a dimer system, with and without initial coherence,are compared in order to assess the role of initial coherences.

Non-Markovian Second-Order Quantum Master Equation and Its Markovian Limit: Electronic Energy Transfer in Model Photosynthetic Systems