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Eigenstate localization in a many-body quantum system
- Publication Year :
- 2024
-
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.<br />Comment: 5+8 pages, 1+0 figures
- Subjects :
- Condensed Matter - Statistical Mechanics
Mathematical Physics
Quantum Physics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2405.12279
- Document Type :
- Working Paper