Constrained dissipation and the lifetime of quantum many-body scars

@misc{ccuiro2026constrained,
  title = {{Constrained dissipation and the lifetime of quantum many-body scars}},
  author = {Weyner Ccuiro and Rosario Fazio and Alessandro Silva},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.22223},
  eprint = {2610.22223},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.22223},
}

TY  - UNPB
TI  - Constrained dissipation and the lifetime of quantum many-body scars
AU  - Weyner Ccuiro
AU  - Rosario Fazio
AU  - Alessandro Silva
PY  - 2026
DA  - 2026/10/16
PB  - arXiv
DO  - 10.48550/arxiv.2610.22223
UR  - https://arxiv.org/abs/2610.22223
AB  - We investigate the fate of quantum many-body scars in the PXP model subject to Markovian dissipation. We show that when local jump operators respect the same symmetries of the Hamiltonian the full Liouvillian spectrum displays a tower of states with properties analogous to standard quantum scars: large overlaps with Néel states and equally spaced gaps in the imaginary part of the eigenvalues, set by a single frequency. Whether the long-time dynamics is dominated by scars is determined by the real parts of the eigenvalues, which are set by the ratio between the two relaxation rates γ_± describing spin flips down-to-up or up-to-down respectively. For asymmetric dissipation (γ_+ > γ_-) the scarred eigenvalues have the smallest real parts: the resulting enhanced fidelity oscillations are further stabilized by staggered jump operators. In contrast, replacing the full projection operator in the dissipators with a partial one breaks the symmetries of the problem and is seen to destroy dissipative scars altogether.
ER  -