Related Experiment Video
Updated: May 29, 2025

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
Published on: March 1, 2022
Minimal Hubbard Models of Maximal Hilbert Space Fragmentation
Yves H Kwan1, Patrick H Wilhelm2, Sounak Biswas3
1Princeton University, Princeton Center for Theoretical Science, Princeton, New Jersey 08544, USA.
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.
Related Concept Videos
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
Mechanistic Models: Overview of Compartment Models
Multicompartment Models: Overview
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
Clearance Models: Compartment Models
Three-Compartment Open Model
Clearance Models: Noncompartmental Models
The noncompartmental approach capitalizes on extensive sampling data, correlating the volume of distribution to systemic exposure and the administered dosage. This method enables...

