Bonn 2025 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 23: Ultra-cold Atoms, Ions and BEC II (joint session A/Q)

Q 23.4: Vortrag

Dienstag, 11. März 2025, 12:00–12:15, KlHS Mathe

Anyonic phase transitions in the 1D extended Hubbard model with fractional statistics — •Sebastian Eggert¹, Martin Bonkhoff², Kevin Jägering¹, Shi-Jie Hu³, Axel Pelster¹, and Imke Schneider¹ — ¹University of Kaiserslautern-Landau — ²Theoretische Physik, Univ. Hamburg — ³Beijing Computational Science Research Center

Recent advances in quantum technology allow the realization of "lattice anyons", which have enjoyed large interest as particles which interpolate between bosonic and fermionic behavior. We now study the interplay of such fractional statistics with strong correlations in the one-dimensional extended Anyon Hubbard model at unit filling by developing a tailored bosonization theory and employing large-scale numerical simulations. The resulting quantum phase diagram shows several distinct phases, which show an interesting transition through a multicritical point. As the anyonic exchange phase is tuned from bosons to fermions, an intermediate coupling phase changes from Haldane insulator to a dimerized phase. Detailed results on the universality classes of the phase transitions are presented.

Keywords: Quantum Phase Transitions; 1D Hubbard Model; Bosonization; Anyons and Fractional Statistics; Density Matrix Renormalization Group