Perfect Particle Transmission through Duality Defects
High Energy Physics - Theory
2025-11-25 v3 Strongly Correlated Electrons
Quantum Physics
Abstract
We study wavepackets that propagate across (a) topological interfaces in quantum spin systems exhibiting non-invertible symmetries and (b) duality defects coupling dual theories. We demonstrate that the transmission is always perfect, and that a particle traversing the interface is converted into a nonlocal string-like excitation. We give a systematic way of constructing such a defect by identifying its Hilbert space with the virtual bond dimension of the matrix product operator representing defect lines. Our work both gives an operational meaning to topological interfaces, and provides a lattice analogue of recent results solving the monopole paradox in quantum field theory.
Cite
@article{arxiv.2510.26780,
title = {Perfect Particle Transmission through Duality Defects},
author = {Atsushi Ueda and Vic Vander Linden and Laurens Lootens and Jutho Haegeman and Paul Fendley and Frank Verstraete},
journal= {arXiv preprint arXiv:2510.26780},
year = {2025}
}