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Boundary Strong Zero Modes

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arxiv 2305.16382 v1 pith:WAYPZLIE submitted 2023-05-25 quant-ph cond-mat.mes-hallcond-mat.stat-mechcond-mat.str-el

Christopher T. Olund , Norman Y. Yao , Jack Kemp This is my paper · ORCID
classification quant-phcond-mat.mes-hallcond-mat.stat-mechcond-mat.str-el
keywords strongzeromodesboundaryinterfaceedgemodeordered
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Strong zero modes are edge-localized degrees of freedom capable of storing information at infinite temperature, even in systems with no disorder. To date, their stability has only been systematically explored at the physical edge of a system. Here, we extend the notion of strong zero modes to the boundary between two systems, and present a unifying framework for the stability of these boundary strong zero modes. Unlike zero-temperature topological edge modes, which are guaranteed to exist at the interface between a trivial and topological phase, the robustness of boundary strong zero modes is significantly more subtle. This subtlety is perhaps best illustrated by the following dichotomy: we find that the interface between a trivial and ordered phase does not guarantee the existence of a strong zero mode, while the interface between two ordered phases can, in certain cases, lead to an exact strong zero mode.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Strong zero modes in integrable spin-S chains

    cond-mat.stat-mech 2025-12 conditional novelty 7.0 of 10

    Exact strong zero modes exist for integrable spin-S XXZ chains with open boundaries; for integer S they localize in a weak Hilbert-Schmidt sense, not as sharp edge operators.

  2. Strong Zero Modes in Supersymmetry-Inspired Quantum Circuits

    quant-ph 2026-07 accept novelty 6.5 of 10

    SUSY-inspired brick-wall circuits support both edge-localized and ballistically propagating strong zero modes that can be steered by mass parameters and used for quantum-information transport.

  3. Almost Strong Zero Modes at Finite Temperature

    cond-mat.str-el 2025-01 conditional novelty 6.0 of 10

    For the Kitaev-Hubbard chain, the finite-temperature decay rate of the Majorana edge mode follows an Arrhenius law with an effective gap systematically larger than the many-body gap.

  4. The Ising dual-reflection interface: $\mathbb{Z}_4$ symmetry and Majorana strong zero modes

    cond-mat.str-el 2024-12 accept novelty 6.0 of 10

    An Ising chain with a Kramers-Wannier-plus-reflection interface has an exact Z4 symmetry whose Majorana formulation hosts robust strong zero modes.

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