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Universal Anderson localization in one-dimensional unitary maps

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Title
Universal Anderson localization in one-dimensional unitary maps
Author(s)
Ihor Vakulchyk; Sergej Flach
Publication Date
2023-08
Journal
CHAOS, v.33, no.8
Publisher
AIP Publishing
Abstract
We study Anderson localization in discrete-time quantum map dynamics in one dimension with nearest-neighbor hopping strength ? and quasienergies located on the unit circle. We demonstrate that strong disorder in a local phase field yields a uniform spectrum gaplessly occupying the entire unit circle. The resulting eigenstates are exponentially localized. Remarkably this Anderson localization is universal as all eigenstates have one and the same localization length L-loc. We present an exact theory for the calculation of the localization length as a function of the hopping, 1/L-loc = |ln (| sin(?)|) , which is tunable between zero and infinity by variation of the hopping ?.
URI
https://pr.ibs.re.kr/handle/8788114/14079
DOI
10.1063/5.0141808
ISSN
1054-1500
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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