Minimal Hubbard Models of Maximal Hilbert Space Fragmentation
Yves H. Kwan, Patrick Wilhelm, Sounak Biswas, S. A. Parameswaran
Abstract
We show that Hubbard models with nearest-neighbor hopping and a nearest-neighbor hardcore constraint exhibit "maximal" Hilbert space fragmentation in many lattices of arbitrary dimension d. Focusing on the d=1 rhombus chain and the d=2 Lieb lattice, we demonstrate that the fragmentation is strong for all fillings in the thermodynamic limit, and explicitly construct all emergent integrals of motion, which include an extensive set of higher-form symmetries. Blockades consisting of frozen particles partition the system in real space, leading to anomalous dynamics. Our results are potentially relevant to optical lattices of dipolar and Rydberg-dressed atoms.
Topics & Concepts
Hubbard modelFragmentation (computing)PhysicsHilbert spaceSpace (punctuation)Quantum mechanicsComputer scienceSuperconductivityOperating systemQuantum many-body systemsAlgebraic structures and combinatorial modelsModel Reduction and Neural Networks