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 23.7: Vortrag
Dienstag, 11. März 2025, 12:45–13:00, KlHS Mathe
Chirality-protected state manipulation by tuning one-dimensional statistics — Friethjof Teel1, •Martin Bonkhoff2, Peter Schmelcher1,3, Thore Posske2,3, and Nathan Harshman4 — 1Center for Optical Quantum Technologies, Department of Physics, University of Hamburg, Luruper Chaussee 149, 22761 Hamburg Germany — 2I. Institute for Theoretical Physics, Universität Hamburg, Notkestraße 9, 22607 Hamburg, Germany — 3The Hamburg Centre for Ultrafast Imaging, University of Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany — 4Physics Department, American University, Washington, DC 20016, USA
Chiral symmetry is broken by typical interactions in lattice models, but the statistical interactions embodied in the anyon-Hubbard model are an exception. It is an example of a correlated hopping model in which chiral symmetry protects a degenerate zero-energy subspace. Complementary to the traditional approach of anyon braiding in real space, we adiabatically evolve the statistical parameter in the anyon-Hubbard model and we find non-trivial Berry phases and holonomies in this chiral subspace. States in this subspace possess stationary checkerboard patterns in their N-particle densities which are preserved under adiabatic manipulation. We give an explicit protocol for how these chirally-protected zero energy states can be prepared, observed, validated, and controlled.
Keywords: anyon-Hubbard; non-abelian holonomies; quantum gas microscope; chiral symmetry; density-dependent gauge phases