Eigenstate localization in a many-body quantum system

Autor:	Yin, Chao, Nandkishore, Rahul, Lucas, Andrew
Rok vydání:	2024
Předmět:	Condensed Matter - Statistical Mechanics Mathematical Physics Quantum Physics
Zdroj:	Phys. Rev. Lett. 133, 137101 (2024)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevLett.133.137101
Popis:	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. Comment: 5+8 pages, 1+0 figures. Published version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.12279 Zobrazit plný text záznamu View this record from Arxiv