“…A promising solution is to exploit quantum many-body scarring (QMBS) states that were first discovered in a 51 Rydberg-atom chain [14] and explained based on the effective PXP model [15,16]. While breaking the thermalization rendered ergodicity, the QMBS states are distinct from the quantum states in classically integrable systems and from quantum many-body localized states as well [17][18][19][20]. Theoretically, QMBS states have been studied in diverse systems ranging from the Heisenberg spin [21,22], Affleck-Kennedy-Lieb-Tasaki [23,24], extended Hubbard [25][26][27] and Ising [28] models to frustrated [29,30] and topological [31,32] lattices, quantum Hall systems [33,34], Floquet-driven systems [35,36], systems with a flat band [29,37,38], and two-dimensional systems [39].…”