We show that the dynamical symmetry exists in dissipative quantum many-body systems. Under constraints on both Hamiltonian and dissipation parts, time evolution of particular observables can be symmetric between repulsive attractive interactions Hubbard model, or ferromagnetic anti-ferromagnetic Ising model with external fields. present a theorem to determine existence This is also responsible ...

We find that a flat-band fermion system with interactions and without disorders exhibits nonthermalized ergodicity-breaking dynamics, an analog of many-body localization (MBL). In the previous works we observed (FMBL) in Creutz ladder model. The origin FMBL is compact localized state governed by local integrals motion (LIOMs), which are to be obtained explicitly. this work clarify dynamical asp...