Aranya B Bhattacherjee et al 2004 J. Phys. B: At. Mol. Opt. Phys. 37 2355 doi:10.1088/0953-4075/37/11/012
Aranya B Bhattacherjee1, O Morsch and E Arimondo
Show affiliationsWe study the dynamics of a BEC with a singly quantized vortex, placed in the combined potential of a 1D (2D) optical lattice and an axi-symmetric harmonic trap. A time-dependent variational Lagrangian analysis shows that an optical lattice helps to stabilize the vortex which in the absence of the optical lattice is unstable. We find that the normal modes are stable only if the depth of the optical potential is more than a certain critical value. This critical value of the optical potential depends on the 2D interaction parameter. In general, the higher the interaction parameter, the lower the value of the optical potential required to stabilize the vortex. The BEC with the singly quantized vortex is found to be relatively more unstable in a 2D optical lattice compared to a 1D optical lattice.
03.75.Kk Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow
37.10.Vz Mechanical effects of light on atoms, molecules, and ions
Issue 11 (14 June 2004)
Received 27 January 2004, in final form 22 March 2004
Published 17 May 2004
Aranya B Bhattacherjee et al 2004 J. Phys. B: At. Mol. Opt. Phys. 37 2355
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