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From higher rank symmetry to field theory of the Tkachenko mode

演講者 : Yi-Hsien Du 博士生 (Kadanoff Center for Theoretical Physics, University of Chicago)
演講時間 : 2022 / 08 / 12 11:10
理學教學新大樓物理系 5F 36567會議室
We demonstrate nonlinear higher rank gauge symmetry with volume-preserving diffeomorphism as the symmetry group. We show that various condensed matter systems, including fractional quantum Hall effect and vortex crystal in a rotating Bose gas, possess this symmetry. Based on the symmetry, we construct an effective field theory describing the Tkachenko mode, which is the elastic wave propagating on a vortex lattice of a rotating Bose-Einstein condensate. We derive an estimate for the lifetime of the mode.