# Stuttgart 2012 – wissenschaftliches Programm

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# Q: Fachverband Quantenoptik und Photonik

## Q 34: Poster 1

### Q 34.56: Poster

### Dienstag, 13. März 2012, 16:30–19:00, Poster.I+II

**Effects of geometry, size and dimensionality on the dynamics of correlated Rydberg gases** — •Martin Gärttner^{1,2}, Thomas Gasenzer^{2}, and Jörg Evers^{1} — ^{1}Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, D-69117 Heidelberg — ^{2}Institut für Theoretische Physik, Ruprecht-Karls-Universität Heidelberg, Philosophenweg 16, D-69120 Heidelberg

We study the coherent dynamics of a finite laser-driven cloud of ultra-cold Rydberg atoms by calculating the time evolution from the full many body Hamiltonian. Using the frozen gas approximation and treating the atoms as effective two level systems, we are mainly interested in the spatially resolved properties of the gas in its thermalized state. The time evolution of various observables such as the appearance of correlations are investigated. For resonant excitation the pair correlation function quickly builds up a sequence of maxima indicating the emergence of long range order. For non-zero detuning these long range correlations get even more pronounced due to resonant coupling to higher excited states [2]. We find that the Rydberg excitation in our calculation deviates from the algebraic scaling laws predicted in [1]. This and many other features we observe can be attributed to the finite size of the Rydberg cloud we consider. Finally, we investigate the effects of inhomogeneous density, system geometry and dimensionality on our observables.

[1] H. Weimer *et al.*, Phys. Rev. Lett. 101, 250601 (2008)

[2] T. Pohl *et al.*, Phys. Rev. Lett. 104, 043002 (2010)