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

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.