TY - JOUR
T1 - Quantum many-body scars with chiral topological order in two dimensions and critical properties in one dimension
AU - Srivatsa, N. S.
AU - Wildeboer, Julia
AU - Seidel, Alexander
AU - Nielsen, Anne E.B.
N1 - Publisher Copyright:
© 2020 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by the Max Planck Society.
PY - 2020/12/1
Y1 - 2020/12/1
N2 - We construct few-body, interacting, nonlocal Hamiltonians with a quantum scar state in an otherwise thermalizing many-body spectrum. In one dimension, the embedded state is a critical state, and in two dimensions, the embedded state is a chiral topologically ordered state. The models are defined on slightly disordered lattices, and the scar state appears to be independent of the precise realization of the disorder. A parameter allows the scar state to be placed at any position in the spectrum. We show that the level spacing distributions are Wigner-Dyson and that the entanglement entropies of the states in the middle of the spectrum are close to the Page value. Finally, we confirm the topological order in the scar state by showing that one can insert anyons into the state.
AB - We construct few-body, interacting, nonlocal Hamiltonians with a quantum scar state in an otherwise thermalizing many-body spectrum. In one dimension, the embedded state is a critical state, and in two dimensions, the embedded state is a chiral topologically ordered state. The models are defined on slightly disordered lattices, and the scar state appears to be independent of the precise realization of the disorder. A parameter allows the scar state to be placed at any position in the spectrum. We show that the level spacing distributions are Wigner-Dyson and that the entanglement entropies of the states in the middle of the spectrum are close to the Page value. Finally, we confirm the topological order in the scar state by showing that one can insert anyons into the state.
UR - https://www.scopus.com/pages/publications/85097640702
U2 - 10.1103/PhysRevB.102.235106
DO - 10.1103/PhysRevB.102.235106
M3 - Article
AN - SCOPUS:85097640702
SN - 2469-9950
VL - 102
JO - Physical Review B
JF - Physical Review B
IS - 23
M1 - 235106
ER -