Perfect Particle Transmission through Duality Defects

Fuente: arXiv
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Hauptverfasser: Ueda, Atsushi, Linden, Vic Vander, Lootens, Laurens, Haegeman, Jutho, Fendley, Paul, Verstraete, Frank
Format: Preprint
Veröffentlicht: 2025
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author Ueda, Atsushi
Linden, Vic Vander
Lootens, Laurens
Haegeman, Jutho
Fendley, Paul
Verstraete, Frank
author_facet Ueda, Atsushi
Linden, Vic Vander
Lootens, Laurens
Haegeman, Jutho
Fendley, Paul
Verstraete, Frank
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_26780
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Perfect Particle Transmission through Duality Defects
Ueda, Atsushi
Linden, Vic Vander
Lootens, Laurens
Haegeman, Jutho
Fendley, Paul
Verstraete, Frank
High Energy Physics - Theory
Strongly Correlated Electrons
Quantum Physics
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.
title Perfect Particle Transmission through Duality Defects
topic High Energy Physics - Theory
Strongly Correlated Electrons
Quantum Physics
url https://arxiv.org/abs/2510.26780