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arXiv · 2012.05310

Disorder enhanced quantum many-body scars in Hilbert crystals

Bart van Voorden·Matteo Marcuzzi·Kareljan Schoutens·Jiří Minář
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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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Bart van Voorden, Matteo Marcuzzi, Kareljan Schoutens, Jiří Minář. 2020-12-09. Disorder enhanced quantum many-body scars in Hilbert crystals. https://doi.org/10.1103/physrevb.103.l220301

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