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Continuous extension of the discrete shift translations on one-dimensional quantum lattice systems

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arxiv 2405.01001 v2 pith:O3QADTXZ submitted 2024-05-02 math-ph math.MP

Hajime Moriya , Heide Narnhofer This is my paper · ORCID
classification math-phmath.MP
keywords continuousdiscreteextensionlatticeone-dimensionalquantumshiftsystems
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We study the continuous extension of discrete shift translations on one-dimensional quantum lattice systems.

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  1. D-grading and quasifree evolution

    math-ph 2025-05 conditional novelty 6.0 of 10

    For a spin system with dimension d, the paper constructs a d-graded algebra with quasifree evolutions that are norm asymptotically abelian on the gauge invariant subalgebra.

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