Mainz 2026 – wissenschaftliches Programm

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SYMB: Symposium One-Dimensional Quantum Many-Body Systems between Bose and Fermi Statistics

SYMB 1: One-Dimensional Quantum Many-Body Systems between Bose and Fermi Statistics

SYMB 1.3: Hauptvortrag

Donnerstag, 5. März 2026, 15:30–16:00, P 1

Exotic Quantum Statistics in Strongly Interacting 1D Bose Gases — •Hanns-Christoph Nägerl — Institut für Experimentalphysik, Universität Innsbruck, Innsbruck, Austria

Exotic quantum statistics extend beyond the familiar dichotomy of bosons, which may occupy a single quantum state, and fermions, which must each occupy different ones. Between these extremes lie anyons, allowing particles to partially share one state, and fractional Fermi seas, where particles occupy several states. My talk explores how strongly interacting 1D Bose gases provide a platform to realize unconventional statistics. I present the observation of emergent anyonic correlations induced by spin-charge separation, where a mobile impurity generates a system with a tunable statistical phase [1], providing a continuous transmutation from bosons through anyons to fermions, revealed through an asymmetric momentum-distribution and dynamical fermionization. I then report the realization of fractional Fermi seas using holonomy cycles [2,3]. Friedel-like oscillations in the one-body correlations directly expose this exotic exclusion statistics. Together, these results demonstrate a powerful and controllable route to exploring the full landscape of low-dimensional quantum statistics beyond the boson-fermion paradigm.

[1] S. Dhar et al., Observing anyonization of bosons in a quantum gas, Nature 642, 53 (2025). [2] Y. Zeng et al., Realization of Fractional Fermi Seas, manuscript in preparation. [3] M. Marciniak et al., Fermionizing the ideal Bose gas via topological pumping, arXiv:2504.19569.

Keywords: quantum gases; low-dimensional quantum many-body systems; unconventional quantum statistics; fermionization; anyonization