The study of cold atomic gases is exploding, driven largely by the rapid experimental developments. This field has become highly interdisciplinary, connecting a great variety of interesting problems: weakly and strongly correlated quantum condensed matters, nuclear matters, and physics of low dimensions. In this talk, I will focus on one of the hottest topics in the field --- fermionic superfluidity. After describing the current developments in this area, I would adventure into a new direction called "breached pairing". This ground state of fermions contains both a superfluid and a normal Fermi liquid, with both gapped and gapless quasiparticle excitations. I will describe a scheme on how to realize the new state in optical lattices, and show how it provides a direct, robust signature of the atomic superfluidity that has been known to be difficult to detect.
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POTR 234, Purdue University, West Lafayette, IN