Eigenstate localization in a many-body quantum system

• URL: http://arxiv.org/abs/2405.12279v2
• Date: Mon, 23 Sep 2024 16:26:51 GMT
• Title: Eigenstate localization in a many-body quantum system
• Authors: Chao Yin, Rahul Nandkishore, Andrew Lucas,
• Abstract summary: 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.
• Score: 0.24999074238880484
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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