Generation, Measurement, and Preservation of Entanglement Using Cavity QED And Optical Lattices

我们将研究一个简单的开放系统，原子在一个受驱动的腔中，具有外部囚禁势，包括自发辐射和腔损耗。这项工作将探索如何量化混合量子态的纠缠，这仍然是一个悬而未决的问题。一个由多个原子组成的系统也将促进对多体纠缠的研究，这也是目前还不太清楚的。该项目首先使用关联函数研究单原子腔QED中的纠缠，到囚禁在光腔势垒中的几个原子的系统。这将扩展我们对开放量子系统和多体系统中纠缠的了解。正如Lukin，Kimble和Kuzmich小组实验研究的那样，纠缠的概率产生及其分布将被处理。在腔QED中实验证明了反馈保护量子态。许多反馈和控制方案使用高斯白噪声近似；这项工作将超越这一点，观察由几个原子/光子组成的系统。在该项目的第二阶段，将研究用于各种团簇状态和单向量子计算方案的原子腔态，以及CQED系统的量子网络的实现。该腔可用于几个目的：与光学模式的强耦合可用于获得关于原子状态的信息(通过监视，例如，透射光)，否则可能难以访问；它还可提供一种操纵联合原子态的方法，并制备感兴趣的或有用的纠缠原子叠加。最后，我们将考察在强耦合极限之外的腔的量子信息处理，因为它们更容易在实验上实现。与马里兰大学的路易斯·奥罗斯科等人的实验小组的密切合作将有助于将工作重点放在物理上可实现的方案上。

Examination of a simple open system, atoms in a driven cavity, withexternal trapping potentials, including spontaneous emission and cavity loss, will be investigated. The work will explore how to quantify entanglement for mixed quantum states, which is still an open question. A system with many atoms will also facilitate studies of multipartite entanglement, also not well understood to date.The project begins with studies of entanglement in single atom cavity QED usingcorrelation functions, to systems of a few atoms, trapped inside potential wells in anoptical cavity. This will extend our knowledge of entanglement in open quantum systems,and multipartite systems. Probabilistic generation of entanglement andits distribution, as studied experimentally by the groups of Lukin, Kimble andKuzmich, will be treated. Feedback to protect quantum states has been experimentallydemonstrated in cavity QED. Many feedback and control schemes utilize a Gaussiannoise approximation; the work will go beyond that, looking at systems of a few atoms/photons. In the second phase of the project investigations of atom cavity states useful for variouscluster state and one-way quantum computation schemes, as well as implementations ofquantum networks of CQED systems, will be studied. The cavity may serve several purposes: the strong coupling to the optical mode may be used to obtain information on the atomic state (bymonitoring, e.g., the transmitted light) that might be difficult to access otherwise; it mayalso provide a way to manipulate the joint atomic state, and prepare interesting or usefulentangled atomic superpositions. Finally, quantum information processingwith cavities outside the strong coupling limit, will be examined, as they are much easier to implement experimentally. Close collaboration with the experimental group of Luis Orozco at theUniversity of Maryland, and others, will help focus the work on physically realizableschemes.