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arXiv · 2405.12279

Eigenstate localization in a many-body quantum system

Chao Yin·Rahul Nandkishore·Andrew Lucas
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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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Chao Yin, Rahul Nandkishore, Andrew Lucas. 2024-05-20. Eigenstate localization in a many-body quantum system. https://doi.org/10.1103/physrevlett.133.137101

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