Quantum 2025 – wissenschaftliches Programm
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MON: Monday Contributed Sessions
MON 15: Many-Body Quantum Dynamics II
MON 15.7: Vortrag
Montag, 8. September 2025, 18:00–18:15, ZHG003
Many-body interference of anyons on a one-dimensional lattice — •Peter Robert Förderer1, Gabriel Dufour1, and Andreas Buchleitner1,2 — 1Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Straße 3, 79104 Freiburg, Germany — 2EUCOR Centre for Quantum Science and Quantum Computing, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Straße 3, 79104 Freiburg, Germany
In addition to bosons and fermions, one- or two-dimensional systems can host anyons with non-trivial exchange phase ϕ. Here, we theoretically explore the dynamics of anyons on a one-dimensional lattice. This anyon-Hubbard model can be mapped onto a generalized Bose-Hubbard model with an occupation-dependent tunneling phase. In particular, we study the Hong-Ou-Mandel interference of two anyons scattering on a potential barrier. We show that the anyonic phase not only enables to interpolate between bosonic bunching and fermionic antibunching but also introduces new effects such as the formation of bound states and preferential scattering in one direction.
Keywords: anyons; anyon-Hubbard; Many-body interference