Constrained dissipation and the lifetime of quantum many-body scars

Abstract: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 $\gamma_{\pm}$ describing spin flips down-to-up or up-to-down respectively. For asymmetric dissipation ($\gamma_+ > \gamma_-$) 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.

arXiv:2610.22223 [quant-ph]

(or arXiv:2610.22223v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2610.22223 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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