Flat Band Quantum Scar
Quantum Gases
2021-01-04 v1 Disordered Systems and Neural Networks
Materials Science
Statistical Mechanics
Strongly Correlated Electrons
Abstract
We show that a quantum scar state, an atypical eigenstate breaking eigenstate thermalization hypothesis embedded in a many-body energy spectrum, can be constructed in flat band systems. The key idea of our construction is to make use of orthogonal compact localized states. We concretely discuss our construction scheme, taking a saw-tooth flat lattice system as an example, and numerically demonstrate the presence of a quantum scar state. Examples of higher-dimensional systems are also addressed. Our construction method of quantum scar has broad applications to various flat band systems.
Keywords
Cite
@article{arxiv.2010.02044,
title = {Flat Band Quantum Scar},
author = {Yoshihito Kuno and Tomonari Mizoguchi and Yasuhiro Hatsugai},
journal= {arXiv preprint arXiv:2010.02044},
year = {2021}
}
Comments
5+2 pages, 3+4 figures