Datensatz

Zusammenfassung

In this work numerical methods for solving the problem of two ultracold correlated fermionic ⁶Li atoms in a one-dimensional optical dipole trap are described. The underlying quantum mechanical model contains the typical approximation of a pointlike interaction for ultracold gases and the exact shape of the trap potential, which is known from the experiment. Using these methods, in which solving the time-dependent Schrödinger equation plays a central role, it was possible to obtain the characteristical energy spectrum dependent on the interaction strength and the significant eigenstates. On the basis of these results typical features of a transition called “Fermionization“ have been observed and reference values could be determined. In addition latest tunneling experiments were simulated, which are used to prove the Fermionization. For this purpose the decay characteristics of the prepared two-particle states in the trap potential with a potenial barrier were observed.