Noncommutative Field Theory of the Tkachenko Mode: Symmetries and Decay Rate

Autor: Du, Yi-Hsien, Moroz, Sergej, Nguyen, Dung Xuan, Son, Dam Thanh
Rok vydání: 2022
Předmět:
Zdroj: Phys. Rev. Research 6, L012040 (2024)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevResearch.6.L012040
Popis: 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 $\Gamma$ of the Tkachenko mode scales with its energy $E$ as $\Gamma\sim E^3$ in the low-energy limit. We also discuss the width of the Tkachenko mode at a small temperature.
Comment: 6+8 pages. Accepted version to Physical Review Research Letters!
Databáze: arXiv