Speaker
Description
Understanding the dynamics of closed many-body quantum systems out of equilibrium remains a central challenge in modern physics. Thermalizing behavior is captured by the Eigenstate Thermalization Hypothesis (ETH), which predicts that individual eigenstates of a quantum many-body Hamiltonian locally reproduce thermal expectation values. In recent years, violations of ETH have been observed in phenomena such as many-body localization (MBL), sparking broad interest in nonthermalizing dynamics. Kinetically constrained models are particularly rich in this regard, as they can host both thermalizing and non- thermalizing regimes — the latter arising from mechanisms such as Hilbert space fragmentation (HSF), where the many-body Hilbert space breaks into dynamically disconnected sectors, causing the long-time behavior to depend strongly on the initial state. Such phenomena have recently become experimentally accessible, with ultracold atoms in optical lattices providing an ideal platform for quantum simulation of Hubbard-type models, owing to their tunable parameters and single-site addressability. In this work, we present a viable route to engineer kinetically constrained dynamics based on a two-species Bose-Fermi-Hubbard Hamiltonian. We study the resulting non-equilibrium dynamics using a combination of analytical and numerical methods, with the aim of characterizing thermalizing and non- thermalizing regimes. Our results may guide the exploration of ongoing two-species experiments in optical lattices such as the Erbium-Lithium experiment.