Freiburg 2024 – scientific programme
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A: Fachverband Atomphysik
A 32: Quantum Gases (joint session Q/A)
A 32.1: Talk
Thursday, March 14, 2024, 14:30–14:45, Aula
Braiding Laughlin quasi-holes in ultracold atoms using Ramsey interferometry — •Felix Palm1,2, Nader Mostaan1,2, Nathan Goldman2, and Fabian Grusdt1 — 1LMU Munich & MCQST, Munich, Germany — 2CENOLI, Université Libre de Bruxelles, Brussels, Belgium
Braiding non-Abelian anyons in topologically ordered systems has been proposed as a possible route towards topologically protected quantum computing. While recent experiments based on various platforms have made significant progress towards this goal, coherent control over individual anyonic excitations has still not been achieved today. At the same time, progress in cold-atom quantum simulators resulted in the realization of a two-boson ν=1/2-Laughlin state, a paradigmatic fractional quantum Hall state hosting Abelian anyonic quasi-holes.
Here we show that cold atoms in quantum gas microscopes are a suitable platform to create and manipulate these quasi-holes. First, we show that a Laughlin state of eight bosons can be realized by connecting small patches accessible in experiments. Next, we demonstrate that two cross-shaped pinning potentials are sufficient to create two quasi-holes in this Laughlin state. Starting with these two quasi-holes we numerically perform an adiabatic exchange procedure, and reveal their semionic braiding statistics for various exchange paths, thus clarifying the topological nature of these excitations. Finally, we propose an experimentally feasible interferometry protocol to probe the braiding phase in quantum gas microscopes, using a two-level impurity immersed in the fractional quantum Hall fluid.
Keywords: Fractional quantum Hall; Laughlin state; anyons