# Hannover 2010 – wissenschaftliches Programm

## Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe

# Q: Fachverband Quantenoptik und Photonik

## Q 9: Ultracold Atoms: Rydberg Gases / Miscellaneous (with A)

### Q 9.6: Vortrag

### Montag, 8. März 2010, 18:00–18:15, A 320

**Occupation statistics of a Bose-Einstein condensate in a driven double-well potential** — •Moritz Hiller^{1}, Katrina Smith-Mannschott^{2,3}, Maya Chuchem^{4}, Tsampikos Kottos^{2}, and Doron Cohen^{4} — ^{1}Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg — ^{2}Department of Physics, Wesleyan University, CT, USA — ^{3}MPI für Dynamik und Selbstorganisation, Bunsenstraße 10, 37073 Göttingen — ^{4}Department of Physics, Ben-Gurion University, Beer-Sheva, Israel

We consider the occupation statistics *P*_{t}(*n*) of a Bose-Einstein condensate consisting of
*N* particles loaded in a double-well trap with inter-site coupling *K*. Two dynamical scenarios
are investigated: a) wave-packet dynamics and b) linear variation of the bias between the on-site
energies of the two wells. In the latter case, we resolve three different behaviors as we increase
the driving rate for intermediate values of the inter-atomic interaction *K*/*N* < *U* < *N* *K*: quantum
adiabatic, diabatic, and sudden regime. We find that during the adiabatic to diabatic crossover,
many-body Landau-Zener transitions play a dominant role, resulting in oscillations of the second
moment of the occupation statistics. In contrast, the crossover to the sudden regime is characterized
by a broad distribution *P*_{t→∞}(*n*) which is reflected in a global maximum of its second moment.