Freiburg 2024 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 28: Fermionic Quantum Gases I (joint session Q/A)
Q 28.6: Talk
Wednesday, March 13, 2024, 12:15–12:30, HS 1199
Realisation of a two-particle Laughlin state with rapidly rotating fermions — •Paul Hill1, Philipp Lunt1, Johannes Reiter1, Maciej Galka1, Philipp Preiss2, and Selim Jochim1 — 1Physikalisches Institut Heidelberg — 2Max-Planck-Institut für Quantenoptik
The fractional quantum Hall (FQH) effect features remarkable states that due to their strongly correlated nature and exotic topological properties have stimulated a rich body of research going far beyond the condensed matter community, where the effect was originally discovered. One fundamental class of FQH states is described by the celebrated Laughlin wavefunction, which accounts for a large number of plateaus in the Hall resistivity and already exhibits interesting anionic, fractionally charged quasi-particle excitations.
Here we present the direct realisation of the two-particle Laughlin wavefunction by rapid rotation of two interacting spinful fermions in a tight optical tweezer. We owe this result to our newly established experimental tools allowing us to precisely shape and modulate our optical potentials using coherently interfering laser fields.
Our observations reveal distinctive features of the Laughlin wavefunction, including a ground state distribution in the center-of-mass motion, a vortex distribution in the relative motion, correlations in the relative angle of the two particles, and the suppression of inter-particle interactions. This achievement represents a significant step towards scalable experiments, enabling the atom-by-atom assembly of fermionic fractional quantum Hall states in quantum simulators.
Keywords: Fractional Quantum Hall Effect; Topological Phases; Ultracold Quantum Gas Experiment; Laughlin State; Few-Body Physics