During the last few years A. Bulgac together with his graduate student Y. Yu have formulated and implemented the first theoretically consistent local energy density functional approach to nuclear superfluid properties. Surprisingly, the approach is both simple and at the same the most accurate so far in describing one- and two-nucleon separation energies for a large set of nuclei. Moreover, unlike previous attempts, this approach preserves all know nuclear symmetries. A. Bulgac and Y. Yu have shown that a vortex in low density matter (neutron stars) has an unexpected feature, a major density depeletion at its core, a qualitatively new feature of superfluid Fermi superfluids in general, which is expected to influence appreaciably a number of neutron star properties. A. Bulgac in collaboration with Y. Yu, P.F. Bedaque and G. Rupak have studied a variety of properties of Bose, Fermi and Bose-Fermi dilute atomic systems. Several new states of matter have been predicted and some of their properties have been discussed. One of these papers was featured in AIP Physics News Update and a number of other media.
A. Bulgac together with P. Magierski and P.H. Heenen have shown that inhomogeneous neutron matter has a structure closer to disordered rather than crystalline, as previously predicted. A. Bulgac and A. Wirzba have developed new simple and accurate techniques to calculate Casimir energies in QFT for complicated geometries.