Quantum phase transition from bounded to extensive entanglement entropy in a frustration-free spin chain
Quantum Physics
2016-06-27 v1 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We introduce a continuous family of frustration-free Hamiltonians with exactly solvable ground states. We prove that the {ground state of our model is non-degenerate and exhibits} a novel quantum phase transition from bounded entanglement entropy to a massively entangled state with volume entropy scaling. The ground state may be interpreted as a deformation away from the uniform superposition of colored Motzkin paths, showed by Movassagh and Shor to have a large (square-root) but sub-extensive scaling of entanglement into a state with an extensive entropy.
Keywords
Cite
@article{arxiv.1606.07795,
title = {Quantum phase transition from bounded to extensive entanglement entropy in a frustration-free spin chain},
author = {Zhao Zhang and Amr Ahmadain and Israel Klich},
journal= {arXiv preprint arXiv:1606.07795},
year = {2016}
}