Quantum subdiffusion with two- and three-body interactions

被引：0

作者：

Igor I. Yusipov

Tetyana V. Laptyeva

Anna Yu. Pirova

Iosif B. Meyerov

Sergej Flach

Mikhail V. Ivanchenko

机构：

[1] Lobachevsky State University of Nizhny Novgorod,Department of Applied Mathematics

[2] Theory of Control and Dynamical Systems Department,Department of Mathematical Software and Supercomputing Technologies

[3] Lobachevsky State University of Nizhny Novgorod,undefined

[4] Lobachevsky State University of Nizhny Novgorod,undefined

[5] Center for Theoretical Physics of Complex Systems,undefined

[6] Institute for Basic Science,undefined

来源：

The European Physical Journal B | 2017年 / 90卷

关键词：

Solid State and Materials;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

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