Skip to main content
. Author manuscript; available in PMC: 2022 Dec 13.
Published in final edited form as: Nature. 2021 Nov 17;599(7885):393–398. doi: 10.1038/s41586-021-03988-0

TABLE I.

Comparison of disordered MBL and Stark MBL requirements, focusing on applications with near-term quantum devices. Quasi-periodic MBL occupies an intermediate position from this perspective, with some of the advantages of both disordered and disorder-free localization. For all types of MBL, questions about the conditions for asymptotic stability of localization remain, particularly in long-range interactions or more than one dimension [4, 41, 46].

Disordered MBL Stark MBL
Ergodicity breaking Yes [2] Yes [4, 5]
Slow entanglement growth Yes [2] Yes [5]
Max. potential 𝓞 (J0) 𝓞 (NJ0)
Requires site-resolved field Yes No
Rare-region effects Yes [41, 46] No [4]