Journal
PHYSICAL REVIEW B
Volume 103, Issue 22, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.103.L220301
Keywords
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Funding
- Dutch Ministry of Education, Culture and Science (OCW)
- University of Nottingham under a Nottingham Research Fellowship scheme
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The model considers facilitated Rydberg chains with positional disorder, featuring a Hilbert space with the topology of a d-dimensional hypercube. Integrability-breaking disorder enhances scars and inhibits dynamics due to strong localization of eigenstates in the large disorder limit. Mapping the model to the spin-1/2 XX Heisenberg chain provides a geometrical perspective on the Onsager scars, identifying them with scars on the edge of the Hilbert space and revealing their insensitivity to certain types of disorder perturbations.
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.
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