Ira Rothstein (Carnegie Mellon U.)

Response function sum rules for Ultra-Cold Atoms

Abstract: The scattering lengths of ultra cold atoms can be tuned to be arbitrarily large leading to strongly interacting many body systems. What makes these systems particularly compelling is that at infinite scattering length they manifest Schrodinger symmetry which is the non-relativistic analogue of conformal symmetry. As such many field theoretic techniques which previously had no physical applications, can now be tested in the laboratory. In this talk I will discuss how one can use the operator product expansion in conjunction with dispersion relations to generate sum rules for dynamical response functions in a first principles systematic fashion.

Feb 10 at 2pm in Geo/Phys Room 407 

Link to the slides