Coherent transport of waves in disordered systems with nonlinearity and interactions

具有非线性和相互作用的无序系统中波的相干传输

• 批准号: 163842026
• 负责人: Professor Dr. Andreas Buchleitner
• 金额: --
• 依托单位: Fraunhofer-Institut für Angewandte Festkörperphysik (IAF)
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2010
• 资助国家: 德国
• 起止时间: 2009-12-31 至 2013-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/163842026?language=en
• 关键词: Coherent; transport; waves; disordered; systems

We want to investigate the interplay between disorder and nonlinearity or interactions in the propagation of waves through random media. We are especially interested in coherent effects due to wave interference, which, as well known from the case of linear or non-interacting systems, may modify or even completely change the character of wave transport as compared to the incoherent regime, for example turn diffusion into localization. By means of nonlinear diagrammatic scattering theory in connection with numerical simulations, we will analyze the impact of nonlinearities and interactions on those coherent effects, both for propagation of waves in classical nonlinear media and for interacting many-particle quantum systems. In particular, we want to examine whether - contrary to common belief - wave localization can be favored rather than hindered by properly chosen nonlinearities, as suggested by our previous work on nonlinear coherent backscattering.

我们想要研究波在随机介质中传播时的无序和非线性或相互作用之间的相互作用。我们对由波干涉引起的相干效应特别感兴趣，众所周知，从线性或非相互作用系统的情况来看，与非相干状态相比，波干涉可能会改变甚至完全改变波输运的特征，例如将扩散转化为局部化。通过非线性图解散射理论与数值模拟相结合，我们将分析非线性和相互作用对波在经典非线性介质中的传播和相互作用的多粒子量子系统中的相干效应的影响。特别是，我们想要检查是否-与普遍的信念相反-波定位可以被适当选择的非线性所支持而不是阻碍，正如我们之前关于非线性相干后向散射的工作所建议的那样。

项目成果

Weak disorder corrections of the scattering and transport mean free path

散射和传输平均自由程的弱无序校正

• DOI: 10.1088/1751-8113/45/39/395101
• 发表时间: 2012
• 期刊: Journal of Physics A: Mathematical and Theoretical
• 作者: F. Eckert;A. Buchleitner;T. Wellens
• 通讯作者: T. Wellens

Bunching and anti-bunching of localised particles in disordered media

• DOI: 10.1209/0295-5075/99/14001
• 发表时间: 2012-04
• 期刊: Europhysics Letters
• 作者: F. Schlawin;N. Cherroret;A. Buchleitner

Microscopic scattering theory for interacting bosons in weak random potentials

弱随机势相互作用玻色子的微观散射理论

• DOI: 10.1088/1367-2630/15/11/115015
• 发表时间: 2013
• 期刊: New Journal of Physics
• 影响因子: 3.3
• 作者: T. Geiger;A. Buchleitner;T. Wellens
• 通讯作者: T. Wellens

Controlled engineering of extended states in disordered systems

• DOI: 10.1103/physrevb.86.085119
• 发表时间: 2012-06
• 期刊: Physical Review B
• 影响因子: 3.7
• 作者: Alberto Rodríguez;A. Chakrabarti;R. A. Romer

Inelastic multiple scattering of interacting bosons in weak random potentials.

• DOI: 10.1103/physrevlett.109.030601
• 发表时间: 2012-03
• 期刊: Physical review letters
• 影响因子: 8.6
• 作者: T. Geiger;T. Wellens;A. Buchleitner