Chirally-protected state manipulation by tuning one-dimensional statistics

• URL: http://arxiv.org/abs/2412.01517v2
• Date: Mon, 16 Dec 2024 15:31:07 GMT
• Title: Chirally-protected state manipulation by tuning one-dimensional statistics
• Authors: F. Theel, M. Bonkhoff, P. Schmelcher, T. Posske, N. L. Harshman,
• Abstract summary: We adiabatically evolve the statistical parameter in the anyon-Hubbard model. We find non-trivial Berry phases and holonomies in this chiral subspace. The corresponding states possess stationary checkerboard pattern in their $N$-particle densities.
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• Abstract: 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. The corresponding states possess stationary checkerboard pattern 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.

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