Many-body physics and quantum-information processing with quantum-optical systems.
These are the things I have been busy with recently
Hybrid quantum magnetism in circuit-QED: from spin-photon waves to many-body spectroscopy. A. Kurcz, A. Bermudez, and J.J. Gacría-Ripoll, arXiv:1310.8173(2013).
Lieb-Robinson bounds for spin-boson lattice models and ion traps. J. Juenemann, A. Cadarso, D. Perez-Garcia, A. Bermudez, and J.J. Garcia-Ripoll, arXiv:1307.1992(2013).
Controlling and measuring quantum transport of heat in trapped-ion crystal. A. Bermudez, M. Bruderer, and M.B. Plenio, arXiv:1304.0011(2013).
Dissipative ground-state preparation of a spin chain by a structured environment. C. Cormick, A. Bermudez, S.F. Huelga, and M.B. Plenio, arXiv:1304.2201(2013).
Driven geometric phase gates with trapped ions. A. Lemmer, A. Bermudez, and M.B. Plenio, arXiv:1303.5770(2013).
For a complete list of publications, please check arXiv and Google Scholar links above.
For a complete CV, please check bermudez_cv_july_2013
Are you looking for a Master's resarch project? If the answer is yes, and you are interested in pluridisciplinar research (see the figure) at the verge of quantum optics, condensed-matter & high-energy physics
Then, you might consider joining QUINFOG for a Master Thesis on the following topic: "Quantum Simulations of many-body systems with trapped ions" (contact me for further details).