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Floquet Anderson localization of two interacting discrete time quantum walks

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Title
Floquet Anderson localization of two interacting discrete time quantum walks
Author(s)
Merab Malishava; Ihor Vakulchyk; Mikhail Fistul; Sergej Flach
Subject
COHERENT PROPAGATION, ; PARTICLES
Publication Date
2020-04
Journal
PHYSICAL REVIEW B, v.101, no.14, pp.144201
Publisher
AMER PHYSICAL SOC
Abstract
© 2020 American Physical Society. We study the interplay of two interacting discrete time quantum walks in the presence of disorder. Each walk is described by a Floquet unitary map defined on a chain of two-level systems. Strong disorder induces a novel Anderson localization phase with a gapless Floquet spectrum and one unique localization length xi(1) for all eigenstates for noninteracting walks. We add a local contact interaction which is parametrized by a phase shift gamma. A wave packet is spreading subdiffusively beyond the bounds set by xi(1) and saturates at a new length scale xi(2) >> xi(1). In particular we find xi(2) similar to xi(1.2)(2) for gamma = pi. We observe a nontrivial dependence of xi(2) on gamma, with a maximum value observed for y values which are shifted away from the expected strongest interaction case gamma = pi. The novel Anderson localization regime indicates violation of single parameter scaling for both interacting and noninteracting walks
URI
https://pr.ibs.re.kr/handle/8788114/8653
DOI
10.1103/PhysRevB.101.144201
ISSN
2469-9950
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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