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Minimal Hubbard models of maximal Hilbert Space fragmentation

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.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/PhysRevLett.134.010411

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Oxford college:
Hertford College
Role:
Author
ORCID:
0000-0002-5055-5528


More from this funder
Funder identifier:
https://ror.org/0472cxd90
Grant:
804213
More from this funder
Funder identifier:
https://ror.org/0439y7842
Grant:
EP/S020527/1


Publisher:
American Physical Society
Journal:
Physical Review Letters More from this journal
Volume:
134
Issue:
1
Article number:
010411
Publication date:
2025-01-09
Acceptance date:
2024-12-12
DOI:
EISSN:
1079-7114
ISSN:
0031-9007


Language:
English
Pubs id:
2070401
Local pid:
pubs:2070401
Deposit date:
2024-12-12

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