Title: Noncommutative Field Theory of the Tkachenko Mode: Symmetries and Decay Rate
Speaker: Prof. Dam Thanh Son (University of Chicago)
Time: 2023/03/15, 16:00-17:00
Venue: NCTS Physics Lecture Hall, 4F, Chee-Chun Leung Cosmology Hall, NTU
Online: https://nationaltaiwanuniversity-zbh.my.webex.com/nationaltaiwanuniversity-zbh.my/j.php?MTID=md2a2ad7c92123834e9574b4b9ed531a5

Abstract:
We construct an effective field theory describing the collective Tkachenko oscillation mode of a vortex lattice in a two-dimensional rotating Bose-Einstein condensate in the long-wavelength regime. The theory has the form of a noncommutative field theory of a Nambu-Goldstone boson, which exhibits a noncommutative version of dipole symmetry. From the effective field theory, we show that, at zero temperature, the decay width of the Tkachenko mode scales as the cube of its energy in the low-energy limit. We also discuss the width of the Tkachenko mode at a small temperature.