Cold Atoms in Rings: Luttinger Liquids and Rotation Sensing
Recent experiments have realized ring shaped traps for ultracold atoms in which the atoms can be manipulated in many interesting ways. These traps suggest an analogy to SQUIDs which have been used for precision sensing for decades. While cold atoms have also been very successful in sensing, in typical cold atom interferometers atomic interactions are an obstacle to sensitivity. I'll explore the possibility that interactions could be helpful in engineering the entanglement necessary to enhance sensitivity over a small bandwidth. In particular, I consider a 1D ring of cold atoms with a moving weak barrier within the framework of Luttinger liquid theory. I'll give a brief introduction to Luttinger Liquid theory and show that strongly repulsive atoms can be made into a entanglement-enhanced rotation sensor. I’ll comment on noise and give a comparison with traditional atom interferometers.
College Park, MD 20742