Wandering range of robust quantum symmetries
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866915938742304768 |
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| author | Burgarth, Daniel Facchi, Paolo Ligabò, Marilena Viesti, Vito Yuasa, Kazuya |
| author_facet | Burgarth, Daniel Facchi, Paolo Ligabò, Marilena Viesti, Vito Yuasa, Kazuya |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_13894 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Wandering range of robust quantum symmetries Burgarth, Daniel Facchi, Paolo Ligabò, Marilena Viesti, Vito Yuasa, Kazuya Quantum Physics Mathematical Physics 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. |
| title | Wandering range of robust quantum symmetries |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2604.13894 |