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Quantum Fields and Strings Group Journal Club and Seminar
Timecrystalline vortices, stagnation points and the Poincare Index Formula
Timecrystalline vortices, stagnation points and the Poincare Index Formula
Organizer
Speaker
Antti Niemi
Time
Thursday, November 28, 2024 10:00 AM - 11:30 AM
Venue
A6-101
Online
Zoom 462 110 5973
(BIMSA)
Abstract
Using the two dimensional Gross-Pitaevskii (a.k.a. nonlinear Schroedinger) equation as a concrete example, we explain the concepts of Hamiltonian time crystals and anyons. Specifically, we first review the phenomenology of the GP equation, the way it describes vortices in cold atom Bose-Einstein condensates. We then expand the conventional point of view, and show that the minimum energy states are time crystalline vortices. We proceed to show that their exchange statistics has anyon structure. We then identify a Kosterlitz-Thouless topological transition and explain how it can be analyzed using the Poincare index formula.