Author:
Shapira Dekel,Cohen Doron
Abstract
AbstractThe spreading of a particle along a chain, and its relaxation, are central themes in statistical and quantum mechanics. One wonders what are the consequences of the interplay between coherent and stochastic transitions. This fundamental puzzle has not been addressed in the literature, though closely related themes were in the focus of the Physics literature throughout the last century, highlighting quantum versions of Brownian motion. Most recently this question has surfaced again in the context of photo-synthesis. Here we consider both an infinite tight-binding chain and a finite ring within the framework of an Ohmic master equation. With added disorder it becomes the quantum version of the Sinai-Derrida-Hatano-Nelson model, which features sliding and delocalization transitions. We highlight non-monotonic dependence of the current on the bias, and a counter-intuitive enhancement of the effective disorder due to coherent hopping.
Publisher
Springer Science and Business Media LLC
Reference63 articles.
1. Hartmann, T., Keck, F., Korsch, H. J. & Mossmann, S. Dynamics of bloch oscillations. New Journal of Physics 6, 2–2 (2004).
2. Dubin, F. et al. Macroscopic coherence of a single exciton state in an organic quantum wire. Nature Physics 2, 32 (2006).
3. Nelson, T. R. et al. Coherent exciton-vibrational dynamics and energy transfer in conjugated organics. Nature communications 9, 2316 (2018).
4. Dekorsy, T. et al. Coupled bloch-phonon oscillations in semiconductor superlattices. Physical review letters 85, 1080 (2000).
5. Madhukar, A. & Post, W. Exact solution for the diffusion of a particle in a medium with site diagonal and off-diagonal dynamic disorder. Physical Review Letters 39, 1424 (1977).
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献