Noncommutative field theory of the Tkachenko mode: Symmetries and decay rate

Du, Yi-Hsien; Moroz, Sergej; Nguyen, Dung Xuan; Son, Dam Thanh

doi:10.1103/PhysRevResearch.6.L012040

Noncommutative field theory of the Tkachenko mode: Symmetries and decay rate

Journal Article · Mon Feb 26 00:00:00 EST 2024 · Physical Review Research

DOI:https://doi.org/10.1103/PhysRevResearch.6.L012040· OSTI ID:2311911

; Moroz, Sergej; ; Son, Dam Thanh

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 $Γ$ of the Tkachenko mode scales with its energy $E$ as $Γ \sim E^{3}$ in the low-energy limit. We also discuss the width of the Tkachenko mode at a small temperature.

Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0009924

OSTI ID:: 2311911

Journal Information:: Physical Review Research, Journal Name: Physical Review Research Journal Issue: 1 Vol. 6; ISSN 2643-1564; ISSN PPRHAI

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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