Noncommutative field theory of the Tkachenko mode [Elektronisk resurs] Symmetries and decay rate

• 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∼E3 in the low-energy limit. We also discuss the width of the Tkachenko mode at a small temperature. 

Ämnesord

Natural Sciences  (hsv)

Physical Sciences  (hsv)

Subatomic Physics  (hsv)

Naturvetenskap  (hsv)

Fysik  (hsv)

Subatomär fysik  (hsv)

Physics  (kau)

Fysik  (kau)

Genre

government publication  (marcgt)

Indexterm och SAB-rubrik

Bose-Einstein condensation

Decay (organic)

Lattice theory

Bose-Einstein condensates

Decay rate

Effective field theory

Field theory

Long wavelength

Non-commutative; Oscillation mode; Tkachenko modes

Two-dimensional

Vortex lattices

Statistical mechanics