Nonlinear vortex-phonon interactions in a Bose–Einstein condensate. (24th June 2016)

• Record Type: Journal Article
• Authors: Mendonça, J T; Haas, F; Gammal, A
• Is Part Of: Journal of physics. Volume 49:Number 14(2016:Jul. 15)
• Publication Date: 2016-06-24
• Subjects: Bose–Einstein -- condensates -- vortices -- turbulence -- phonons -- bogolons; 03.75.Lm -- 47.32.cb -- 67.10.Fj -- 67.85.De; Atoms -- Periodicals; Molecules -- Periodicals; Optics -- Periodicals; Nuclear physics -- Periodicals; 539.6
• DOI: 10.1088/0953-4075/49/14/145302
• Languages: English
• ISSNs: 0953-4075

Abstract

Abstract: We consider the nonlinear coupling between an exact vortex solution in a Bose–Einstein condensate and a spectrum of elementary excitations in the medium. These excitations, or Bogoliubov–de Gennes modes, are indeed a special kind of phonons. We treat the spectrum of elementary excitations in the medium as a gas of quantum particles, sometimes also called bogolons . An exact kinetic equation for the bogolon gas is derived, and an approximate form of this equation, valid in the quasi-classical limit, is also obtained. We study the energy transfer between the vortex and the bogolon gas, and establish conditions for vortex instability and damping.