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Published on: May 27, 2020
Eigenstate Localization in a Many-Body Quantum System
Chao Yin1, Rahul Nandkishore1, Andrew Lucas1
1Department of Physics and Center for Theory of Quantum Matter, <a href="https://ror.org/02ttsq026">University of Colorado</a>, Boulder, Colorado 80309, USA.
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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