Disorder enhanced quantum many-body scars in Hilbert crystals

• URL: http://arxiv.org/abs/2012.05310v1
• Date: Wed, 9 Dec 2020 20:42:13 GMT
• Title: Disorder enhanced quantum many-body scars in Hilbert crystals
• Authors: Bart van Voorden, Matteo Marcuzzi, Kareljan Schoutens, and Ji\v{r}\'i Min\'a\v{r}
• Abstract summary: 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. 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.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 [PRL ${\bf 124}$, 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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