Exciting BEC's with Spin Orbit Coupling

In this talk, I will discuss the theory behind several techniques for exciting and manipulating Bose Einstein Condensates (BECs) with Spin-Orbit Coupling (SOC). In particular, I shall discuss how the SOC can be used to engineer a dispersion relationship to realize a system with negative-mass hydrodynamics, and then how to probe properties of this unique system by dynamically varying the SOC parameters and manipulating the optical potentials so as to produce shockwaves, solitons, and turbulence. This theory will be compared with experimental results from P. Engels group, and features of their experiment will be explained.