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Q: Fachverband Quantenoptik und Photonik

Q 50: Ultracold Matter (Fermions) I (joint session Q/A)

Q 50.7: Vortrag

Donnerstag, 13. März 2025, 12:30–12:45, HS V

Exploring Integer and Fractional Quantum Hall states with six rapidly rotating Fermions — •Paul Hill, Johannes Reiter, Jonas Drotleff, Philipp Lunt, Maciej Galka, and Selim Jochim — Physikalisches Institut, Universität Heidelberg, Im Neuenheimer Feld 226, 69120 Heidelberg (Germany)

The quantum Hall effect features remarkable states that due to their exotic topological properties and strongly correlated nature have stimulated a rich body of research going far beyond the condensed matter community, where the effect was originally discovered. The effect manifests in two forms: the integer (IQH) and fractional (FQH) quantum Hall effect, distinguished by the significance of repulsive particle interactions. In earlier experiments, we have realized a two-particle Laughlin (FQH) state by rapidly rotating two interacting spinful fermions confined in a tight optical tweezer. Building on this technique, we now present first results for a larger system consisting of six particles: the realization of a two-component IQH state comprising 3+3 spinful fermions. Through imaging of the individual atoms, we capture snapshots of the many-body density and observe a hallmark feature of IQH states--a uniform flattening of the particle density distribution. Our result not only highlights the scalability of the approach but also paves the way for studying FQH states due to the tunability of the interactions between the particles. This brings within reach the realization of a three-particle Laughlin state and the observation of a quantum phase transition between IQH states of weakly interacting fermions and FQH states of interacting bosonic molecules.

Keywords: Quantum Hall Effect; Quantum Simulation; Ultracold Atoms; Quantum Phase Transition