Eigenstate localization in a many-body quantum system
Statistical Mechanics
2024-09-24 v2 Mathematical Physics
math.MP
Quantum Physics
Abstract
We prove the existence of extensive many-body Hamiltonians with few-body interactions and a many-body mobility edge: all eigenstates below a nonzero energy density are localized in an exponentially small fraction of "energetically allowed configurations" within Hilbert space. Our construction is based on quantum perturbations to a classical low-density parity check code. In principle, it is possible to detect this eigenstate localization by measuring few-body correlation functions in efficiently preparable mixed states.
Keywords
Cite
@article{arxiv.2405.12279,
title = {Eigenstate localization in a many-body quantum system},
author = {Chao Yin and Rahul Nandkishore and Andrew Lucas},
journal= {arXiv preprint arXiv:2405.12279},
year = {2024}
}
Comments
5+8 pages, 1+0 figures. Published version