Non Hermitian dynamics of disordered media and interacting atomic Bose-Einstein Condensates

无序介质和相互作用的原子玻色-爱因斯坦凝聚体的非厄米动力学

• 批准号: 40137112
• 负责人: Dr. Ragnar Fleischmann
• 金额: --
• 依托单位: Max-Planck-Institut für Dynamik und Selbstorganisation (MPIDS)
• 依托单位国家: 德国
• 项目类别: Research Units
• 财政年份: 2007
• 资助国家: 德国
• 起止时间: 2006-12-31 至 2014-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/40137112?language=en
• 关键词: Non; Hermitian; dynamics; disordered; media

The propagation of waves through complex media is an interdisciplinary problem that addresses areas as diverse as electronic and atomic-matter waves, to light propagation used to transmit energy and information. Despite this diversity, the wave character of these systems provides a common framework for understanding their transport properties and often leads to new applications. In this project, we focus our research efforts in understanding wave propagation in disordered media while at the same time we investigate how non-linearities due to Kerr effect or due to atom-atom interactions affect the transport. Specifically, we address the following questions : (a) branching of electron flow in semiconductor nanostructures due to scattering from smoothly correlated disorder; (b) propagation of photons in coupled waveguides with anti-linear symmetries; (c) non-hermitian dynamics of atomic BECs in optical lattices with gain/loss; (d) chaotic scattering from a BEC loaded in small optical lattices and (e) Aharonov-Bohm oscillations in disordered non-linear ring geometries.

波在复杂介质中的传播是一个跨学科的问题，涉及到电子和原子物质波，以及用于传输能量和信息的光传播等不同领域。尽管存在这种多样性，这些系统的波特征提供了一个共同的框架来理解它们的传输特性，并经常导致新的应用。在这个项目中，我们的研究重点是理解无序介质中的波传播，同时我们研究由于克尔效应或原子-原子相互作用引起的非线性如何影响输运。具体而言，我们解决了以下问题：（a）由于光滑关联无序散射导致的半导体纳米结构中电子流的分支;（B）光子在具有反线性对称性的耦合波导中的传播;（c）具有增益/损耗的光晶格中原子BEC的非厄米动力学;（d）小光学晶格中BEC的混沌散射和（e）无序非线性环形几何中的Aharonov-Bohm振荡。

项目成果

Matter-wave scattering on a BEC in a double-well potential

双势阱 BEC 上的物质波散射

• DOI: 10.1140/epjd/e2011-10639-9
• 发表时间: 2011
• 期刊: The European Physical Journal D
• 作者: S. Hunn;M. Hiller;A. Buchleitner;D. Cohen;T. Kottos
• 通讯作者: T. Kottos

Inelastic chaotic scattering on a Bose–Einstein condensate

玻色爱因斯坦凝聚上的非弹性混沌散射

• DOI: 10.1088/0953-4075/45/8/085302
• 发表时间: 2012
• 期刊: Journal of Physics B: Atomic, Molecular and Optical Physics
• 作者: S. Hunn;M. Hiller;D. Cohen;T. Kottos;A. Buchleitner
• 通讯作者: A. Buchleitner

Scaling theory of heat transport in quasi-one-dimensional disordered harmonic chains.

准一维无序调和链中热传输的标度理论

• DOI: 10.1103/physreve.87.020101
• 发表时间: 2013
• 期刊: Physical review. E, Statistical, nonlinear, and soft matter physics
• 作者: J. D. Bodyfelt;M. C. Zheng;R. Fleischmann;T. Kottos
• 通讯作者: T. Kottos

Intensity Fluctuations of Waves in Random Media: What Is the Semiclassical Limit?

• DOI: 10.1103/physrevlett.111.013901
• 发表时间: 2013-07-02
• 期刊: PHYSICAL REVIEW LETTERS
• 影响因子: 8.6
• 作者: Metzger, Jakob J.;Fleischmann, Ragnar;Geisel, Theo
• 通讯作者: Geisel, Theo