## Stochastic unravelling and exciton transfer

### This lecture will consist of two main parts:

In the first part
a method for stochastic unraveling of general time-local quantum master
equations (QME) which involve the reduced density operator at time t only
is proposed. The present kind of jump algorithm enables a numerically
efficient treatment of QMEs that are not of Lindblad form. So it opens
large fields of application for stochastic methods. The unraveling can be
achieved by allowing for trajectories with negative weight. We present
results for the quantum Brownian motion and the Redfield QMEs as test
examples. The algorithm can also unravel non-Markovian QMEs when they are
in a time-local form like in the time-convolutionless formalism.

The second part of the lecture deals with a more specific application to
the exciton transfer in the LH2 light-harvesting antenna complex of the
purple bacteria Rhodospirillum molischianum. In a first step I will briefly
describe how the spectral density for this system can be determined from a
combination of molecular dynamics simulations with quantum chemistry
calculations. In a second step I will (if time permits) describe how to
calculate the anisotropy of fluorescence in such a light-harvesting complex
and how this compares to experiment.

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