Stabilization mechanism for many-body localization in two dimensions

Autor: D. C. W. Foo, N. Swain, P. Sengupta, G. Lemarié, S. Adam
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Physical Review Research, Vol 5, Iss 3, p L032011 (2023)
Druh dokumentu: article
ISSN: 2643-1564
DOI: 10.1103/PhysRevResearch.5.L032011
Popis: Experiments in cold-atom systems see almost identical signatures of many-body localization (MBL) in both one-dimensional (d=1) and two-dimensional (d=2) systems despite the thermal avalanche hypothesis showing that the MBL phase is unstable for d>1. Underpinning the thermal avalanche argument is the assumption of exponential localization of local integrals of motion (LIOM). In this Letter we demonstrate that the addition of a confining potential—as is typical in experimental setups—allows a noninteracting disordered system to have superexponentially (Gaussian) localized wave functions, and an interacting disordered system to undergo a localization transition. Moreover, we show that Gaussian localization of MBL LIOM shifts the quantum avalanche critical dimension from d=1 to d=2, potentially bridging the divide between the experimental demonstrations of MBL in these systems and existing theoretical arguments that claim that such demonstrations are impossible.
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