Quantum transport with long-range steps on Watts–Strogatz networks

Yan Wang and Xin-Jian Xu
Additional contact information
Yan Wang: Department of Computer Science Guangdong Polytechnic Normal University Guangzhou 510665, P. R. China
Xin-Jian Xu: Department of Mathematics, Shanghai University Shanghai 200444, P. R. China

International Journal of Modern Physics C (IJMPC), 2016, vol. 27, issue 02, 1-9

Abstract: We study transport dynamics of quantum systems with long-range steps on the Watts–Strogatz network (WSN) which is generated by rewiring links of the regular ring. First, we probe physical systems modeled by the discrete nonlinear schrödinger (DNLS) equation. Using the localized initial condition, we compute the time-averaged occupation probability of the initial site, which is related to the nonlinearity, the long-range steps and rewiring links. Self-trapping transitions occur at large (small) nonlinear parameters for coupling ϵ=−1 (1), as long-range interactions are intensified. The structure disorder induced by random rewiring, however, has dual effects for ϵ=−1 and inhibits the self-trapping behavior for ϵ=1. Second, we investigate continuous-time quantum walks (CTQW) on the regular ring ruled by the discrete linear schrödinger (DLS) equation. It is found that only the presence of the long-range steps does not affect the efficiency of the coherent exciton transport, while only the allowance of random rewiring enhances the partial localization. If both factors are considered simultaneously, localization is greatly strengthened, and the transport becomes worse.

Keywords: Self-trapping; quantum walks; complex networks (search for similar items in EconPapers)
Date: 2016
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183116500157
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:27:y:2016:i:02:n:s0129183116500157

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183116500157

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().