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Q: Fachverband Quantenoptik und Photonik

Q 13: Ultracold Matter (Bosons) I (joint session Q/A)

Q 13.6: Vortrag

Montag, 10. März 2025, 18:15–18:30, HS I PI

Correlation functions of the anyon-Hubbard model from Bogoliubov theory — •Binhan Tang¹, Axel Pelster¹, and Martin Bonkhoff² — ¹Physics Department and Research Center Optimas, Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau, 67663 Kaiserslautern, Germany — ²I. Institut für Theoretische Physik, Universität Hamburg, 22607 Hamburg, Germany

Applying a modified Bogoliubov theory to the bosonic representation of the anyon-Hubbard model faithfully describes its characteristic low-energy properties. These are manifested by an asymmetric dispersion of the Bogoliubov particles, which arises due to the breaking of parity and time reversal symmetry. Furthermore, statistical interactions cause a depletion of both the condensate and the superfluid densities even in the absence of any Hubbard interaction. On the basis of this Bogoliubov theory we determine then characteristic correlation functions as, for instance, density-density correlations, which are experimentally accessible via quantum gas microscopes. In view of recent experimental progress, we re-investigate a quantity previously declared as unobservable, the anyonic quasi-momentum distribution.

Keywords: 1D anyons; Bogoliubov theory; Correlation functions