Attractive interaction between vortex and anti-vortex in holographic superfluid

Abstract

Abstract Annihilation of vortex and anti-vortex in two dimensional turbulent superfluid are important phenomena which reduce the topological defects. In this paper, we report new findings on the annihilation process of a pair of vortices in holographic superfluid. The process is found to consist of two stages which are amazingly separated by vortex size 2r. The separation distance δ(t) between vortex and anti-vortex as a function of time is well fitted by α(t 0 − t) n , where the scaling exponent n = 1/2 for δ(t) > 2r, and n = 2/5 for δ(t) < 2r. Thus the attractive force between vortex and anti-vortex is derived as f(δ) ∝ 1/δ 3 for the first stage, and f(δ) ∝ 1/δ 4 for the second stage. Successfully, we present physical interpretation for the theorem that the annihilation rate of vortices in turbulent superfluid obeys the two-body decay law when the vortex density is low.

Keywords

• AdS-CFT Correspondence
• Holography and condensed matter physics (AdS/CMT)