Alexander L Fetter and Anatoly A Svidzinsky 2001 J. Phys.: Condens. Matter 13 R135 doi:10.1088/0953-8984/13/12/201
Alexander L Fetter and Anatoly A Svidzinsky
Show affiliationsWe review the theory of vortices in trapped dilute Bose-Einstein condensates and compare theoretical predictions with existing experiments. Mean-field theory based on the time-dependent Gross-Pitaevskii equation describes the main features of the vortex states, and its predictions agree well with available experimental results. We discuss various properties of a single vortex, including its structure, energy, dynamics, normal modes, and stability, as well as vortex arrays. When the nonuniform condensate contains a vortex, the excitation spectrum includes unstable (`anomalous') mode(s) with negative frequency. Trap rotation shifts the normal-mode frequencies and can stabilize the vortex. We consider the effect of thermal quasiparticles on vortex normal modes as well as possible mechanisms for vortex dissipation. Vortex states in mixtures and spinor condensates are also discussed.
67.25.dk Vortices and turbulence
Issue 12 (26 March 2001)
Received 29 November 2000, in final form 2 February 2001
Alexander L Fetter and Anatoly A Svidzinsky 2001 J. Phys.: Condens. Matter 13 R135
V Matveev and R Shrock 1995 J. Phys. A: Math. Gen. 28 L533
V Matveev and R Shrock 1995 J. Phys. A: Math. Gen. 28 5235
V Matveev and R Shrock 1995 J. Phys. A: Math. Gen. 28 4859
Timothy Saunders and Martin Howard 2009 Phys. Biol. 6 046020
A Müller and B Aschenbach 2007 Class. Quantum Grav. 24 2637
Avishay Gal-Yam et al. 2007 ApJ 656 372
Uwe C Täuber et al 2005 J. Phys. A: Math. Gen. 38 R79
Victor Matveev and Robert Shrock 1996 J. Phys. A: Math. Gen. 29 803
V Matveev and R Shrock 1995 J. Phys. A: Math. Gen. 28 1557