@article{nokey,
title = {Sublattice scars and beyond in two-dimensional 𝑈(1) quantum link lattice gauge theories},
author = {Sau, I. and Stornati, P. and Banerjee, D. and Sen, A. },
url = {https://journals.aps.org/prd/abstract/10.1103/PhysRevD.109.034519},
doi = {doi.org/10.1103/PhysRevD.109.034519},
year = {2024},
date = {2024-02-27},
urldate = {2024-02-27},
journal = {Physical Review Research},
volume = {109},
number = {34519},
issue = {3},
abstract = {In this article, we elucidate the structure and properties of a class of anomalous high‑energy states of matter‑free U(1) quantum link gauge theory Hamiltonians using numerical and analytical methods. Such anomalous states, known as quantum many‑body scars in the literature, have generated a lot of interest due to their athermal nature.
Our starting Hamiltonian is H = Oₖᵢₙ + λ Oₚₒₜ, where λ is a real‑valued coupling, and Oₖᵢₙ (off‑diagonal) and Oₚₒₜ (diagonal) are summed local operators in the electric flux basis acting on the elementary plaquette □.
The spectrum of the model in its spin‑½ representation on Lₓ × Lᵧ lattices reveals the existence of sublattice scars |ψₛ⟩, which satisfy Oₚₒₜ,□ |ψₛ⟩ = |ψₛ⟩ on one sublattice and Oₚₒₜ,□ |ψₛ⟩ = 0 on the other, while being simultaneous zero modes or nonzero integer‑valued eigenstates of Oₖᵢₙ. We demonstrate a “triangle relation” connecting the sublattice scars with nonzero integer eigenvalues of Oₖᵢₙ to particular scars with Oₖᵢₙ = 0 eigenvalues.
A fraction of the sublattice scars admit a simple description in terms of emergent short singlets, on which we place analytic bounds. We further construct a long‑ranged parent Hamiltonian for which all sublattice scars in the null space of Oₖᵢₙ become unique ground states and elucidate some properties of its spectrum. In particular, zero‑energy states of this parent Hamiltonian turn out to be exact scars of another U(1) quantum link model with a staggered short‑ranged diagonal term.},
keywords = {ICFO-4.16},
pubstate = {published},
tppubtype = {article}
}