Mainz 2026 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 75: Quantum Systems between Bose and Fermi Statistics
Q 75.4: Talk
Friday, March 6, 2026, 11:45–12:00, P 11
Three-body bound states in the anyon-Hubbard model — •Isaac Tesfaye1, Joyce Kwan2, Markus Greiner2, Luis Santos3, André Eckardt1, and Brice Bakkali-Hassani2 — 1Institut für Physik und Astronomie, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany — 2Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA — 3Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstr. 2, 30167 Hannover, Germany
Quantum statistics in low-dimensional systems predicts anyonic particles with fractional exchange statistics, which are neither bosons nor fermions. While anyons are typically found in 2D, as excitations of topologically ordered states of matter, recently anyon-like exchange has also been observed in two different experimental realizations of the anyon-Hubbard model (AHM). The AHM can be formulated in terms of bosons featuring density-dependent Peierls phases, described by a statistical phase angle θ. This angle has been shown to control asymmetric transport and the formation of dynamically bound pairs at finite momentum. Here, we show theoretically that the AHM also hosts three-body bound states in and outside the continuum. We provide a simple approximation to these three-body bound states using a variational ansatz and explain their binding mechanism. Moreover, we reveal that the signatures of three-body bound states in the AHM can be directly probed experimentally from the expansion dynamics starting from three localized particles.
Keywords: 1D anyons; density-dependent gauge potentials; anyon-Hubbard; bound states; quantum gas microscope