Quantum many-body scars in a Landau level on a thin torus

@article{Moudgalya2019QuantumMS,
  title={Quantum many-body scars in a Landau level on a thin torus},
  author={Sanjay Moudgalya and Bogdan Andrei Bernevig and Nicolas Regnault},
  journal={arXiv: Strongly Correlated Electrons},
  year={2019}
}
We study a kinetically constrained pair hopping model that arises within a Landau level in the quantum Hall effect. At filling $\nu = 1/3$, the model exactly maps onto the so-called ``PXP model", a constrained model for the Rydberg atom chain that is numerically known to exhibit ETH-violating states in the middle of the spectrum or quantum many-body scars. Indeed, particular charge density wave configurations exhibit the same revivals seen in the PXP model. We generalize the mapping to fillings… 

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