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Few-fermion quantum systems: How may are many?

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In our experiments we deterministically prepare ultracold ensembles of 1-10 fermionic Lithium-6 atoms in two different spin states. We tune the interparticle interaction using Feshbach resonances and trap the atoms in a quasi 1-dimensional optical potential. In my talk I will present results obtained with a strongly imbalanced sample, for which we prepare a mixture of one single minority spin down particle embedded in a sample of 1-5 majority spin up atoms, and measure the interaction energy as a function of particle number and repulsive interaction strength. We observe that this energy very quickly converges to the many particle limit in one dimension. If we tune the repulsion beyond infinity we find ferromagnetic correlations, and thus realize the Stoner model of itinerant ferromagnetism in a finite system.

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