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Robustness of quantum symmetries against perturbations

Quantum Physics 2025-03-25 v1 Mathematical Physics math.MP

Abstract

We investigate quantum symmetries in terms of their large-time stability with respect to perturbations of the Hamiltonian. We find a complete algebraic characterization of the set of symmetries robust against a single perturbation and we use such result to characterize their stability with respect to arbitrary sets of perturbations.

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Cite

@article{arxiv.2411.18529,
  title  = {Robustness of quantum symmetries against perturbations},
  author = {Paolo Facchi and Marilena Ligabò and Vito Viesti},
  journal= {arXiv preprint arXiv:2411.18529},
  year   = {2025}
}

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24 pages