Desaules, J-Y orcid.org/0000-0002-3749-6375, Bull, K, Daniel, A et al. (1 more author) (2022) Hypergrid subgraphs and the origin of scarred quantum walks in many-body Hilbert space. Physical Review B: Condensed Matter and Materials Physics, 105 (24). 245137. ISSN 1098-0121
Abstract
Following the recent observation of wave function revivals in large Rydberg atom quantum simulators, much effort has focused on understanding the emergence of many-body scars in nonintegrable quantum systems. Here we explore the origin of scarred wave function revivals in a family of models obtained by deforming the graph adjacency matrix of the PXP model—the effective model of Rydberg atoms in the strong Rydberg blockade regime. We consider deformations that either enhance the Rydberg constraint, ultimately resulting in an effective tight-binding model of two hypercubes joined at a single vertex, or relax the constraint until reaching the free spin-1/2 model. In the former case, we argue that the model of two joined hypercubes captures the essential features of many-body scarring present in the PXP model. On the other hand, relaxing the constraint leads to a sequence of new scarred models, some with more robust scarring signatures than the PXP model, as can be understood from the graph-theoretic viewpoint. Our results shed light on the nature of scarring in the PXP model by identifying its simple parent model, while also highlighting its distinction from the free-spin precession.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | ©2022 American Physical Society. This is an author produced version of an article, published in Physical Review B: Condensed Matter and Materials Physics. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Physics and Astronomy (Leeds) > Theoretical Physics (Leeds) |
Funding Information: | Funder Grant number EPSRC (Engineering and Physical Sciences Research Council) EP/R020612/1 Leverhulme Trust RL-2019-015 |
Depositing User: | Symplectic Publications |
Date Deposited: | 20 Jul 2022 15:12 |
Last Modified: | 20 Jul 2022 15:12 |
Status: | Published |
Publisher: | American Physical Society |
Identification Number: | 10.1103/physrevb.105.245137 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:189238 |