Local Integrals of Motion in Dipole-Conserving Models with Hilbert Space Fragmentation
Local Integrals of Motion in Dipole-Conserving Models with Hilbert Space Fragmentation
Hilbert space fragmentation is an ergodicity-breaking phenomenon, in which the Hamiltonian shatters into exponentially many dynamically disconnected sectors. In many fragmented systems, these sectors can be labeled by statistically localized integrals of motion, which are nonlocal operators. We study the paradigmatic nearest-neighbor pair hopping model exhibiting the so-called strong fragmentation. …