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Perfect particle transmission through duality defects

(2025)
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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.

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Citation

Please use this url to cite or link to this publication:

MLA
Ueda, Atsushi, et al. Perfect Particle Transmission through Duality Defects. 2025.
APA
Ueda, A., Vander Linden, V., Lootens, L., Haegeman, J., Fendley, P., & Verstraete, F. (2025). Perfect particle transmission through duality defects.
Chicago author-date
Ueda, Atsushi, Vic Vander Linden, Laurens Lootens, Jutho Haegeman, Paul Fendley, and Frank Verstraete. 2025. “Perfect Particle Transmission through Duality Defects.”
Chicago author-date (all authors)
Ueda, Atsushi, Vic Vander Linden, Laurens Lootens, Jutho Haegeman, Paul Fendley, and Frank Verstraete. 2025. “Perfect Particle Transmission through Duality Defects.”
Vancouver
1.
Ueda A, Vander Linden V, Lootens L, Haegeman J, Fendley P, Verstraete F. Perfect particle transmission through duality defects. 2025.
IEEE
[1]
A. Ueda, V. Vander Linden, L. Lootens, J. Haegeman, P. Fendley, and F. Verstraete, “Perfect particle transmission through duality defects.” 2025.
@misc{01KEHW5SFJMWSYHGCHCVMZBJJ2,
  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.}},
  author       = {{Ueda, Atsushi and Vander Linden, Vic and Lootens, Laurens and Haegeman, Jutho and Fendley, Paul and Verstraete, Frank}},
  language     = {{eng}},
  pages        = {{8}},
  title        = {{Perfect particle transmission through duality defects}},
  year         = {{2025}},
}