Number of zero-energy eigenstates in the PXP model
arXiv:2203.09264 · doi:10.1103/PhysRevB.106.045104
Abstract
The PXP model is paradigmatic in the field of quantum many-body scars. This model has a number of zero-energy eigenstates that is exponentially large in system size. Lower bounds on the number of zero-energy eigenstates are obtained for both open and periodic (zero and -momentum sectors) boundary conditions. These bounds are found to be tight up to system sizes accessible by numerical exact diagonalization, and can be expected to be tight in general. In addition to previous results, separate lower bounds are obtained for the spatial inversion-symmetric and inversion-antisymmetric symmetry sectors. Furthermore, the derivations improve on previous ones as these are free of assumptions.
10 pages, 3 figures
References in corpus (7)
- Probing many-body dynamics on a 51-atom quantum simulator
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
- Controlling many-body dynamics with driven quantum scars in Rydberg atom arrays
- Quantum scars from zero modes in an Abelian lattice gauge theory on ladders
- Exact many-body scars and their stability in constrained quantum chains
- Area-law entangled eigenstates from nullspaces of local Hamiltonians