# Hannover 2013 – wissenschaftliches Programm

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# A: Fachverband Atomphysik

## A 6: Ultra-cold atoms, ions and BEC II (with Q)

### A 6.4: Vortrag

### Montag, 18. März 2013, 14:45–15:00, F 428

**Two-component few-fermion mixtures in a one-dimensional trap** — •Ioannis Brouzos and Peter Schmelcher — Zentrum für Optische Quantentechnologien, Universität Hamburg

We explore a few-fermion mixture consisting of two components which are repulsively interacting and confined in a one-dimensional harmonic trap. Different scenarios of population imbalance ranging from the completely imbalanced case where the physics of a single impurity in the Fermi-sea is discussed to the partially imbalanced and equal population configurations are investigated. For the numerical calculations the multi-configurational time-dependent Hartree (MCTDH) method is employed, extending its application to few-fermion systems. Apart from numerical calculations we generalize our Ansatz for a correlated pair wave-function proposed in [1] for bosons to mixtures of fermions. From weak to strong coupling between the components the energies, the densities and the correlation properties of one-dimensional systems change vastly. The numerical and analytical treatments are in good agreement with respect to the description of this crossover. We show that for equal populations each pair of different component atoms splits into two single peaks in the density while for partial imbalance additional peaks and plateaus arise for very strong interaction strengths. The case of a single impurity atom shows rich behaviour of the energy and density as we approach fermionization, and is directly connected to recent experiments.

[1] I. Brouzos and P. Schmelcher, PRL 108, 045301 (2012).