Eigenstate localization in a many-body quantum system
arXiv:2405.12279 · doi:10.1103/PhysRevLett.133.137101
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.
5+8 pages, 1+0 figures. Published version
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