Quantum Dynamics of Tilted Bose-Hubbard Models

We will discuss the out-of-equilibrium quantum dynamics of the tilted Bose-Hubbard model (subjected to ramps, quenches, and periodic drives of the tilt), initialized in Mott insulator and superfluid states. In this system, emergent restricted mobility, and thereby Hilbert space fragmentation, leads to non-thermalizing behavior. Using numerical (DMRG and TDVP) and analytical methods, we explore the dynamical phase diagram, quantum phase transitions, and the onset and stability of emergent non-thermal behavior expected in this system.