Mainz 2026 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 75: Quantum Systems between Bose and Fermi Statistics
Q 75.6: Vortrag
Freitag, 6. März 2026, 12:15–12:30, P 11
Estimating universal parameters of 1D anyons via Bogoliubov theory — •Bin-Han Tang1, Axel Pelster2, and Martin Bonkhoff3 — 1University of Trento, Italy — 2RPTU Kaiserslautern-Landau, Germany — 3University of Hamburg, Germany
Recently, the one-dimensional anyon-Hubbard model was realized in a seminal experiment with Cs-atoms [1]. This allowed to confirm previous theoretical predictions that the quasi-momentum distribution is asymmetric for intermediate statistical angles, reflecting inherent spatio-temporal asymmetry. In one-dimensional systems of infinite extent, Bose-Einstein condensation is precluded by strong quantum fluctuations, and the Luttinger paradigm is the governing principle instead. However, for non-integrable models the coupling constants of the theory are only known analytically in weak-coupling limit, and have to be deduced numerically or with approximate methods in general. To this end, we use a thermodynamic description via a Landau potential, which has to be extremal with respect to both the density and the wave vector characterizing the effective condensate in [1]. The latter induces a current-density coupling as an additional response coefficient, apart from the ordinary density stiffness and phase stiffness. Imposing thermodynamic stability then implies different sound velocities for the propagation to the left or the right. And we compare the stiffnesses with the predictions of Luttinger liquid theory for the anyon-Hubbard model in the dilute limit, where we can slightly extend to higher filling fractions [2]. [1] S. Dhar et al., Nature 642, 53 (2025). [2] M. Bonkhoff et al. Phys. Rev. Lett. 126, 163201 (2021).
Keywords: anyon-Hubbard model; quasi-momentum distribution; thermodynamic stability; sound velocities; Luttinger parameter