Vortex-antivortex wavefunction of a degenerate quantum gas

Details Vortex-antivortex wavefunction of a degenerate quantum gas Vortex-antivortex wavefunction of a degenerate quantum gas

2009-08-03

arxiv.org/abs/0908.0237v1

Laser Physics, 2009, Vol. 19, No. 8, pp. 1796-1803

Nonlinear Sciences

Pattern Formation and Solitons

11 pages, 5 figures

Scientific paper

A mechanism of a pinning of the quantized matter wave vortices by optical vortices in a specially arranged optical dipole traps is discussed. The vortex-antivortex optical arrays of rectangular symmetry are shown to transfer angular orbital momentum and form the "antiferromagnet"-like matter waves. The separable Hamiltonian for matter waves in pancake trapping geometry is proposed and 3D-wavefunction is factorized in a product of wavefunctions of the 1D harmonic oscillator and 2D vortex-antivortex quantum state. The 2D wavefunction's phase gradient field associated via Madelung transform with the field of classical velocities forms labyrinth-like structure. The macroscopic quantum state composed of periodically spaced counter-rotating BEC superfluid vortices has zero angular momentum and nonzero rotational energy.

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