Symmetric Resourceful Steady States via Non-Markovian Dissipation
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914411588878336 |
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| author | Debecker, Baptiste Serrano-Ensástiga, Eduardo Bastin, Thierry Damanet, François Martin, John |
| author_facet | Debecker, Baptiste Serrano-Ensástiga, Eduardo Bastin, Thierry Damanet, François Martin, John |
| contents | We prove a no-go theorem for symmetry-based dissipative engineering of collective-spin steady states: in spin-only Lindblad dynamics with jump operators linear in the collective-spin operators, any unique steady state exhibiting at least $\mathbb{Z}_2 \times \mathbb{Z}_2$ symmetry is necessarily the maximally mixed state. We then show that bath memory lifts this obstruction, enabling unique entangled steady states with a prescribed symmetry and a metrological gain, and providing a steady-state witness of non-Markovianity. Notably, this framework is largely insensitive to the microscopic details of the bath. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_20091 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Symmetric Resourceful Steady States via Non-Markovian Dissipation Debecker, Baptiste Serrano-Ensástiga, Eduardo Bastin, Thierry Damanet, François Martin, John Quantum Physics We prove a no-go theorem for symmetry-based dissipative engineering of collective-spin steady states: in spin-only Lindblad dynamics with jump operators linear in the collective-spin operators, any unique steady state exhibiting at least $\mathbb{Z}_2 \times \mathbb{Z}_2$ symmetry is necessarily the maximally mixed state. We then show that bath memory lifts this obstruction, enabling unique entangled steady states with a prescribed symmetry and a metrological gain, and providing a steady-state witness of non-Markovianity. Notably, this framework is largely insensitive to the microscopic details of the bath. |
| title | Symmetric Resourceful Steady States via Non-Markovian Dissipation |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2603.20091 |