Equilibrium states as quantum many-body scars

Dualities between open many-body systems and closed bilayer systems are discussed. It is shown, that under appropriate duality, the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) generator satisfying the detailed balance condition on one side becomes a self-adjoint Hamiltonian on the other side. Moreover, the identity operator on the open system side maps to the thermofield double state, which turns out to be a quantum many-body scar of the dual Hamiltonian. A broad class of many-body open systems with nontrivial explicit eigenoperators of the GKSL generator is identified. Under the above duality, these eigenoperators give rise to additional scar towers.
The talk is based on the work:
A. Teretenkov, O. Lychkovskiy, Duality between open systems and closed bilayer systems: Thermofield double states as quantum many-body scars, Phys. Rev. B, 110 (2024), 241105; arXiv: 2304.03155.