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arXiv · 2102.08241

Stability of scar states in 2D PXP model against random disorders

Ke Huang·Yu Wang·Xiao Li
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Abstract

Recently a class of quantum systems exhibiting weak ergodicity breaking has attracted much attention. These systems feature a special band of eigenstates called quantum many-body scar states in the energy spectrum. In this work we study the fate of quantum many-body scar states in a two-dimensional lattice against random disorders. We show that in both the square lattice and the honeycomb lattice the scar states can persist up to a finite disorder strength, before eventually being erased by the disorder. We further study the localization properties of the system in the presence of even stronger disorders and show that whether a full localization transition occurs depends on the type of disorder we introduce. Our study thus reveals the fascinating interplay between disorder and quantum many-body scarring in a two-dimensional system.

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Ke Huang, Yu Wang, Xiao Li. 2021-12-25. Stability of scar states in 2D PXP model against random disorders. https://doi.org/10.1103/physrevb.104.214305

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