Symmetric Resourceful Steady States via Non-Markovian Dissipation
Quantum Physics
2026-03-23 v1
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 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.
Cite
@article{arxiv.2603.20091,
title = {Symmetric Resourceful Steady States via Non-Markovian Dissipation},
author = {Baptiste Debecker and Eduardo Serrano-Ensástiga and Thierry Bastin and François Damanet and John Martin},
journal= {arXiv preprint arXiv:2603.20091},
year = {2026}
}
Comments
5 pages and 4 figures (main); 6 pages and 1 figure (supplemental)