Freiburg 2024 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 50: Quantum Gases (joint session Q/A)

Q 50.3: Vortrag

Donnerstag, 14. März 2024, 15:00–15:15, Aula

The anyon-Hubbard model: From few to many-body — •Martin Bonkhoff — I. Institut für Theoretische Physik, Universität Hamburg

Recent experimental progress in the engineering of density-dependent Peierls phases has rekindled the interest in one-dimensional anyonic lattice models of the Hubbard type. We review specific ground-state properties of such anyons on hand of the single-species anyon-Hubbard model. Thereby we focus primarily on the distinction between few-particle systems, or very small system sizes, and a real many-body setting [2,3]. For the former case we use integrable techniques to study the properties of the model, which is contrasted then with field-theoretical methods for long-wavelengths. The emphasis is thereby on the coherence properties of the model that are intrigiungly modified by the statistical interactions in contrast to ordinary, local inter-particle interactions. We find a quite different phenomenology for the two regimes and discuss related experimental challenges.

[1] Martin Bonkhoff, Simon B. Jäger, Imke Schneider, Axel Pelster, and Sebastian Eggert, Phys. Rev. B 108, 155134 (2023)

[2] Martin Bonkhoff, Kevin Jägering, Sebastian Eggert, Axel Pelster, Michael Thorwart, and Thore Posske, Phys. Rev. Lett. 126, 163201 (2021)

Keywords: Anyons; Optical lattices; density-dependent Peierls phases