Disorder enhanced quantum many-body scars in Hilbert hypercubes

van Voorden, Bart; Marcuzzi, Matteo; Schoutens, Kareljan; Minář, Jiří

Abstract

We consider a model arising in facilitated Rydberg chains with positional disorder which features a Hilbert space with the topology of a d-dimensional hypercube. This allows for a straightforward interpretation of the many-body dynamics in terms of a single-particle one on the Hilbert space and provides an explicit link between the many-body and single-particle scars. Exploiting this perspective, we show that an integrability-breaking disorder enhances the scars followed by inhibition of the dynamics due to strong localization of the eigenstates in the large disorder limit. Next, mapping the model to the spin-1/2 XX Heisenberg chain offers a simple geometrical perspective on the recently proposed Onsager scars [Phys. Rev. Lett. 124, 180604 (2020)], which can be identified with the scars on the edge of the Hilbert space. This makes apparent the origin of their insensitivity to certain types of disorder perturbations.

• Journal Article Type: Article
• Acceptance Date: May 17, 2021
• Online Publication Date: Jun 3, 2021
• Publication Date: Jun 1, 2021
• Deposit Date: Jul 14, 2021
• Publicly Available Date: Jul 20, 2021
• Journal: Physical Review B
• Print ISSN: 2469-9950
• Electronic ISSN: 2469-9969
• Publisher: American Physical Society (APS)
• Peer Reviewed: Peer Reviewed
• Volume: 103
• Issue: 22
• Article Number: L220301
• DOI: https://doi.org/10.1103/physrevb.103.l220301
• Public URL: https://nottingham-repository.worktribe.com/output/5747415
• Publisher URL: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.103.L220301