Quantum many-body scars in spin-1 Kitaev chains

To provide a physical example of quantum scars, we study the many-body scars in spin-1 Kitaev chain where so-called PXP Hamiltonian is exactly embedded spectra. Regarding conserved quantities, Hilbert space fragmented into disconnected subspaces and explore associated constrained dynamics. The continuous revivals fidelity entanglement entropy when initial state prepared $\vert\mathbb{Z}_k\rangle$ ($k=2,3$) illustrate essential physics model. We phase transitions one-dimensional Kitaev-Heisenberg model using density-matrix renormalization group Lanczos exact diagonalization methods, determine diagram. parametrize two terms by angle $\phi$, term $K\equiv\sin(\phi)$ competes with Heisenberg $J\equiv\cos(\phi)$ term. One finds rich ground diagram as function $\phi$. Depending on ratio $K/J\equiv\tan(\phi)$, system either breaks symmetry to one distinct broken phases, or preserves spin liquid frustrated interactions. find that scarred stable for perturbations which obey $\mathbb{Z}_2$-symmetry, while it becomes unstable against Heisenberg-type perturbations.\\ \textit{Accepted publication Physical Review Research}