English

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

Disordered Systems and Neural Networks 2021-12-28 v2 Statistical Mechanics

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.

Keywords

Cite

@article{arxiv.2102.08241,
  title  = {Stability of scar states in 2D PXP model against random disorders},
  author = {Ke Huang and Yu Wang and Xiao Li},
  journal= {arXiv preprint arXiv:2102.08241},
  year   = {2021}
}

Comments

11 pages, 11 figures, published version