Wandering range of robust quantum symmetries

• URL: http://arxiv.org/abs/2604.13894v1
• Date: Wed, 15 Apr 2026 14:01:45 GMT
• Title: Wandering range of robust quantum symmetries
• Abstract summary: This quantity measures how the perturbed time evolution $mathrmemathrmit(H+varepsilon V)$ deviates from its unperturbed counterpart $mathrmemathrmi t(H+varepsilon V)$.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: This paper introduces the concept of the wandering range of a robust symmetry $S$ of a Hamiltonian $H$. This quantity measures how the perturbed time evolution $\mathrm{e}^{\mathrm{i}t(H+\varepsilon V)} S \mathrm{e}^{-\mathrm{i} t(H+\varepsilon V)}$ deviates from its unperturbed counterpart $\mathrm{e}^{\mathrm{i} tH} S\mathrm{e}^{-\mathrm{i} tH} = S$. Although the wandering range does not necessarily scale linearly with the perturbation strength $\varepsilon$, we identify conditions under which this linear behavior is recovered and we obtain explicit nonperturbative bounds.

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