Noncommutative Field Theory of the Tkachenko Mode: Symmetries and Decay Rate
Autor: | Du, Yi-Hsien, Moroz, Sergej, Nguyen, Dung Xuan, Son, Dam Thanh |
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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 |
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