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Duality defect in a deformed transverse-field Ising model

Fei Yan1,*, Robert Konik1, and Aditi Mitra2

  • *Contact author: fyan@bnl.gov
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Phys. Rev. Research 7, 033198 – Published 27 August, 2025

DOI: https://doi.org/10.1103/ctxg-k3b6

Abstract

Physical quantities with long lifetimes have both theoretical significance in the study of quantum many-body systems and practical implications for quantum technologies. In this manuscript, we investigate the roles played by topological defects in the construction of quasiconserved quantities, using as a prototypical example the Kramers-Wannier duality defect in a deformed one-dimensional quantum transverse-field Ising model. We construct the duality defect Hamiltonian in three different ways: half-chain Kramers-Wannier transformation, utilization of techniques in the Ising fusion category, and defect-modified weak integrability breaking deformation. The third method is also applicable for the study of generic integrable defects under weak integrability breaking deformations. We also work out the deformation of defect-modified higher charges in the model and study their slower decay behavior. Furthermore, we consider the corresponding duality defect twisted deformed Floquet transverse-field Ising model and investigate the stability of the isolated zero mode associated with the duality defect in the integrable Floquet Ising model, under such weak integrability breaking deformation.

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Phys. Rev. Research 7, 033198– Published 27 August, 2025
  • Received 17 December 2024
  • Accepted 5 August 2025
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