A hybrid model for Rydberg gases including exact two-body correlations
K. P. Heeg, M. G\"arttner, J. Evers

TL;DR
This paper introduces a hybrid simulation model for Rydberg gases that combines exact two-body correlations with approximate methods, efficiently predicting multi-atom features and higher-order correlations at various densities.
Contribution
The paper presents a novel hybrid modeling approach that accurately captures two-body and multi-atom correlations in Rydberg gases, improving upon existing models.
Findings
Predicts features in pair correlation functions from multi-atom processes
Higher-order correlations are significant even at low densities
Efficient steady-state computation using a time-independent Monte Carlo method
Abstract
A model for the simulation of ensembles of laser-driven Rydberg-Rydberg interacting multi-level atoms is discussed. Our hybrid approach combines an exact two-body treatment of nearby atom pairs with an effective approximate treatment for spatially separated pairs. We propose an optimized evolution equation based only on the system steady state, and a time-independent Monte Carlo technique is used to efficiently determine this steady state. The hybrid model predicts features in the pair correlation function arising from multi-atom processes which existing models can only partially reproduce. Our interpretation of these features shows that higher-order correlations are relevant already at low densities. Finally, we analyze the performance of our model in the high-density case.
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