I work in atomic physics, and I too am interested in this question. While my research right now involves the trapping and manipulation of atoms for fundamental physics research, I'm always interested in learning ways my sub-field can move us closer to immortality. Many of my coworkers are also interested in combining atomic and subatomic physics with medical research. Of what I know, there are a few applications to medical technology in general, but I haven't heard of any specifically targeting immortality. For example, on of my former coworkers is now doing R&D on a SERF Magnetometer (
http://en.wikipedia.org/wiki/SERF), which is basically an extremely sensitive (but not too expensive) device for measuring magnetic fields using the manipulation of atoms. The goal of the research is to monitor fetal heartbeats in pregnant mothers--the fetus's heart produces a bit of current each time it contracts, which in turn produces a magnetic field, which can be measured with an array of magnetometers outside the mother (i.e. no invasive surgery needed). So using atomic physics techniques you can identify problems in a fetus early, and take the appropriate action. But as I said, the goal is not immortality, just health in general.
I do think physics has lots to offer medical research indirectly--for example, modern technologies like cell phones, airplanes, and the Internet all required physics research, and now are used by doctors and medical researchers routinely. CAT scans, MRI's, and artificial organs are other examples of modern technologies that required advances in physics to be invented.
I'd be interested to hear other ideas people have--if for no other reason than possible future career options.