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要旨:
In this thesis models for clouds of Rydberg atoms with strong interaction effects are investigated.
Since the capabilities of straightforward calculations in many-body systems
are limited in general, we discuss simplified models, which approximate correlations
between the atoms. In addition, we present an enhanced version of the rate equation
model which takes into account higher order, namely exact two-body correlations.
Different methods to improve the runtime of the models are suggested. We exploit
the facts that some correlations can be neglected for large atomic seperations and that
different Monte Carlo algorithms can be used to propagate into the steady state.
The models are analysed and compared from a technical and a physical point of view
with the aim to decide which model is most appropriate for a given setup. We identify
fundamental limitations and estimate the range of validity in the field of parameters.
The models are used to calculate different observables which gives an understanding
of their capabilities. In particular, we find resonance conditions in the pair correlation
function and explain the super- and sub-Poissonian characters of excitation counts.
