• Corpus ID: 245124033

Hypergrid subgraphs and the origin of scarred quantum walks in the many-body Hilbert space

@inproceedings{Desaules2021HypergridSA,
  title={Hypergrid subgraphs and the origin of scarred quantum walks in the many-body Hilbert space},
  author={Jean-Yves Desaules and Kieran Bull and Aiden Daniel and Zlatko Papi'c},
  year={2021}
}

• Jean-Yves Desaules, Kieran Bull, +1 author Zlatko Papi'c
• Published 13 December 2021
• Physics

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 non-integrable quantum systems. Here we explore the origin of scarred wavefunction 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 integrable 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.