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Open Quantum Systems Decoherence

Symmetric Resourceful Steady States via Non-Markovian Dissipation

arXiv
Authors: Baptiste Debecker, Eduardo Serrano-Ensástiga, Thierry Bastin, François Damanet, John Martin

Year

2026

Paper ID

35946

Status

Preprint

Abstract Read

~2 min

Abstract Words

86

Citations

N/A

Abstract

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.

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  • 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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2603.20091 [2] arXiv https://arxiv.org/abs/2603.20091 [3] Publisher https://arxiv.org/abs/2603.20091

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