English

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 Z2×Z2\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.

Keywords

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)