Spectral properties of interacting cold atoms in optical lattices

光学晶格中相互作用的冷原子的光谱特性

• 批准号: 5454459
• 负责人: Professor Dr. Andreas Buchleitner
• 金额: --
• 依托单位: Arbeitsgruppe Quantenoptik und -statistik
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 财政年份: 2005
• 资助国家: 德国
• 起止时间: 2004-12-31 至 2008-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/5454459?language=en
• 关键词: Spectral; properties; interacting; cold; atoms

Bose Einstein Condensates of cold atomic gases provide an experimental tool for testing various predictions of condensed matter theory, quantum statistics, and quantum transport theory, with unpreceded control and accuracy. Furthermore, quantum opticians now contemplate to engineer many-particle systems of finite size - by loading a well defined number of ultracold interacting particles into confining potentials - with emerging (and addressable) characteristic properties of the condensed phase, which typically are described by quantum statistical observables. In our present proposal, we want to address the transition from few- to many-particle dynamics for cold atomic gases loaded into optical lattices, on the basis of a detailed study of the spectral structure of such finite size many-particle problems, generated by perfectly deterministic microscopic Hamiltonians. We wish to investigate the spectrum of the Bose Hubbard and of the Fermi Hubbard model, in order to identify the spectral backbone of characteristic dynamical features observed in the laboratory. Specifically, we will address (i) the resonance structure of the many-particle Wannier Stark problem realized with BEC¿s loaded into tilted optical lattices, (ii) the interaction induced decoherence of Bloch oscillations for Bose and nonpolarized Fermi atoms (and mixtures thereof), and (iii) microscopic models for the conductivity of matter waves across optical potentials.

冷原子气体的Bose Einstein冷凝物提供了一种实验工具，可用于测试凝集物质理论，量子统计和量子转运理论的各种预测，并具有未经预言的控制和准确性。此外，量子能力医生现在正在考虑工程师的许多有限尺寸的颗粒系统 - 通过将明确定义的超数相互作用颗粒加载到限制电位中 - 在我们的建议中，我们希望解决凝结阶段的特征（和可寻址）的特征，我们希望解决从几乎没有的元素进行过渡到详细的动力学，以解决元素的动力学，以使元素的动力学构成元素的动力学，以元素为基础，以元素的元素为基础。这种有限尺寸的多粒子问题的频谱结构，由完全确定性的微观哈密顿人产生。我们希望研究Bose Hubbard和Fermi Hubbard模型的光谱，以确定实验室中观察到的特征动态特征的光谱骨干。具体而言，我们将解决（i）通过将BEC插入倾斜的光学晶格中实现的许多粒子旺尼斯塔克问题的共振结构，（ii）BLOCH振荡的相互作用诱导的玻色和非极化FERMI原子的振荡的反振荡性（其中）和（III II II III）的势率是跨度的，以及（III II），跨度差异。