Joachim Brand and William P Reinhardt 2001 J. Phys. B: At. Mol. Opt. Phys. 34 L113 doi:10.1088/0953-4075/34/4/105
Joachim Brand and William P Reinhardt
Show affiliationsWe propose a simple stirring experiment to generate quantized ring currents and solitary excitations in Bose-Einstein condensates in a toroidal trap geometry. Simulations of the three-dimensional Gross-Pitaevskii equation show that pure ring current states can be generated efficiently by adiabatic manipulation of the condensate, which can be realized on experimental timescales. This is illustrated by simulated generation of a ring current with winding number two. While solitons can be generated in quasi-one-dimensional tori, we show the even more robust generation of hybrid, solitonic vortices (svortices) in a regime of wider confinement. Svortices are vortices confined to essentially one-dimensional dynamics, which obey a similar phase-offset-velocity relationship as solitons. Marking the transition between solitons and vortices, svortices are a distinct class of symmetry-breaking stationary and uniformly rotating excited solutions of the two-dimensional and three-dimensional Gross-Pitaevskii equation in a toroidal trapping potential. Svortices should be observable in dilute-gas experiments.
Issue 4 (28 February 2001)
Received 19 January 2001
Joachim Brand and William P Reinhardt 2001 J. Phys. B: At. Mol. Opt. Phys. 34 L113
A Bhouri et al 2002 J. Phys.: Condens. Matter 14 7017
Joachim Brand 2004 J. Phys. B: At. Mol. Opt. Phys. 37 S287
M Jaros 1972 J. Phys. C: Solid State Phys. 5 1985
J.T. Scoville and R.J. La Haye 2003 Nucl. Fusion 43 250
Jose M Moran-Mirabal et al 2007 Nanotechnology 18 195101
Jeffrey C. Hall and Jeffrey B. Wolovitz 1998 The Astronomical Journal 115 2571
Jacco Vink and Aya Bamba 2009 ApJ 707 L148
X M Wen et al 2009 J. Phys. D: Appl. Phys. 42 045115
Brian O'Neill et al 2008 Environ. Res. Lett. 3 045012