Yin Chao, Nandkishore Rahul, Lucas Andrew
Department of Physics and Center for Theory of Quantum Matter, <a href="https://ror.org/02ttsq026">University of Colorado</a>, Boulder, Colorado 80309, USA.
Phys Rev Lett. 2024 Sep 27;133(13):137101. doi: 10.1103/PhysRevLett.133.137101.
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.
在非零能量密度以下的所有本征态都局域在希尔伯特空间中“能量允许构型”的指数小部分内。我们的构造基于对经典低密度奇偶校验码的量子微扰。原则上，通过在高效制备的混合态中测量少体关联函数，有可能检测到这种本征态局域化。
