What becomes of vortices when they grow giant?


Penin, A. (2023). What becomes of vortices when they grow giant?. Perimeter Institute. https://pirsa.org/23110048


Penin, Alexander. What becomes of vortices when they grow giant?. Perimeter Institute, Nov. 06, 2023, https://pirsa.org/23110048


          @misc{ pirsa_PIRSA:23110048,
            doi = {10.48660/23110048},
            url = {https://pirsa.org/23110048},
            author = {Penin, Alexander},
            keywords = {Particle Physics},
            language = {en},
            title = {What becomes of vortices when they grow giant?},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {nov},
            note = {PIRSA:23110048 see, \url{https://pirsa.org}}

Alexander Penin University of Alberta

Talk Type Scientific Series


Quantum vortices are two-dimensional solitons which carry a topological charge - the first Chern number n. They play a crucial role in many physical concepts from cosmic strings to mirror symmetry and dualities of supersymmetric models. When n grows the vortices become giant. The giant vortices are observed experimentally in a variety of quantum systems. Thus, it is quite appealing to identify their characteristic features and universal properties, which is quite a challenging mathematical problem. Though the nonlinear vortex equations may look deceptively simple, their analytic solution is not available. In this talk I demonstrate how by borrowing the asymptotic methods of fluid dynamics such a solution can be found in the large-n limit. I then construct a systematic expansion in inverse powers of the topological charge about this asymptotic solution which works amazingly well all the way down to the elementary vortex with n=1. I use this result to study the Majorana zero modes bound to giant vortices. The resulting local density of states has a number of features which give remarkable signatures for an experimental observation of the "Majorana fermions" in two dimensions.


Zoom link https://pitp.zoom.us/j/98994856372?pwd=ZFBOemRZQS9WbHAzMTN6R2lKZEdXQT09