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Quantum subdiffusion with two- and three-body interactions

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Title
Quantum subdiffusion with two- and three-body interactions
Author(s)
Igor I. Yusipov; Tetyana V. Laptyeva; Anna Yu. Pirova; Iosif B. Meyerov; Sergej Flach; Mikhail V. Ivanchenko
Publication Date
2017-04
Journal
EUROPEAN PHYSICAL JOURNAL B, v.90, no.4, pp.66 -
Publisher
SPRINGER
Abstract
We study the dynamics of a few-quantum-particle cloud in the presence of two- and three-body interactions in weakly disordered one-dimensional lattices. The interaction is dramatically enhancing the Anderson localization length ξ1 of noninteracting particles. We launch compact wave packets and show that few-body interactions lead to transient subdiffusion of wave packets, m2 ∼ tα, α < 1, on length scales beyond ξ1. The subdiffusion exponent is independent of the number of particles. Two-body interactions yield α ≈ 0.5 for two and three particles, while three-body interactions decrease it to α ≈ 0.2. The tails of expanding wave packets exhibit exponential localization with a slowly decreasing exponent. We relate our results to subdiffusion in nonlinear random lattices, and to results on restricted diffusion in high-dimensional spaces like e.g. on comb lattices. c EDP Sciences, Societ`a Italiana di Fisica, Springer-Verlag 2017
URI
https://pr.ibs.re.kr/handle/8788114/3426
ISSN
1434-6028
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Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > Journal Papers (저널논문)
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