We discuss a possibility of a pinning of quantized matter wave vortices by optical vortices in specially arranged optical dipole traps. The vortex-antivortex optical arrays of rectangular symmetry are shown to transfer angular orbital momentum to support "antiferromagnet-like" matter waves. The separable Hamiltonian for matter waves is proposed which allows to factorize of the 3D - wavefunction exactly in a product of 1D - harmonic oscillator's ground state and 2D - vortex-antivortex wavefunction. The wavefunction's phase gradient field associated with the field of classical velocities via Madelung transformation forms labyrinth-like structure. The macroscopic wavefunction of periodically spaced BEC superfluid vortices appears to be less influenced by decoherence.

Date Published: 29 April 2008
PDF: 11 pages
Proc. SPIE 7023, Quantum Informatics 2007, 70230G (29 April 2008); doi: 10.1117/12.801910

Published in SPIE Proceedings Vol. 7023:
Quantum Informatics 2007
Yuri I. Ozhigov, Editor(s)