Quantum Field Theory of Atomic, Molecular and Solid State Condensates.

拟开展的研究涉及冷原子气体和固态微结构中玻色凝聚、相干效应和量子关联的理论研究，特别是，我打算发展冷费米气体中原子BCS和分子BEC之间交叉的场论，该交叉具有与最近的实验相关的复杂但现实的相互作用。我还计划研究原子BEC与光的相互作用，特别是微腔中原子和极化激元的叠加凝聚体的形成，以鼓励在这个方向上的实验努力。最后，我打算研究半导体极化激元凝聚体的相动力学，光子统计和量子相关性，以帮助解决当前关于极化激元系统中最新发现的解释的争论。来自凝聚态背景，并在牛津大学原子和激光物理系工作，我打算研究如何在这些领域之间交换思想和技术。除了提出的具体项目，在奖学金的过程中，我打算探索如何在超冷原子气体的最新实验进展可以帮助发展成功的理论solidstate系统，以及什么有趣的量子现象，已知的凝聚态物质，可以实现在光学陷阱。

Proposed research is concerned with theoretical study of Bose condensation, coherence effects and quantum correlations in cold atomic gases and solid state microstructures.In particular, I intend to develop field theory of a cross-over between atomic BCS and molecular BEC in cold Fermi gases with complex but realistic interactions relevant to recent experiments. I also plan to study interactions of atomic BEC with light in particular the formation of superposition condensate of atoms and polaritons in microcavity to encourage experimental effort in this direction. Finally I intend to investigate phase dynamics, photon statistics and quantum correlations of semiconductor polariton condensate to help in resolving on-going controversy on the interpretations of recent findings in polariton systems.Coming from the condensed matter background and working in the Atomic and Laser Physics sub-department in Oxford I intend to investigate how the ideas and techniques can be exchanged between these areas. Apart from specific projects proposed, during the course of the fellowship, I intend to explore how recent experimental advances in ultra-cold atomic gases can help in developing successful theories of solidstate systems as well as what interesting quantum phenomena, known in condensed matter, can be realised in optical traps.