Cold matter trapping via slowly rotating helical potential

Details Cold matter trapping via slowly rotating helical potential Cold matter trapping via slowly rotating helical potential

2010-05-23

arxiv.org/abs/1005.4213v15

Phys.Lett.A, v.376, 650-655 (2012)

Physics

Atomic Physics

6 pages, 1 figure, Physics Letters, A, November (2011), accepted

Scientific paper

10.1016/j.physleta.2011.11.033

We consider the cold bosonic ensemble trapped by a helical interference pattern in the optical \textit{loop} scheme. This rotating helical potential is produced by the two slightly detuned counter propagating Laguerre-Gaussian laser beams with counter directed orbital angular momenta $\pm \ell\hbar $. The detuning $\delta \omega$ may occur due to rotational Doppler effect. The superfluid hydrodynamics is analysed for the large number of trapped atoms in Thomas-Fermi approximation. For the highly elongated trap the Gross-Pitaevskii equation is solved in a slowly varying envelope approximation. The speed of axial translation and angular momenta of interacting atomic cloud are evaluated. In the $T \rightarrow 0$ limit the angular momentum of the helical cloud is expected to be zero while toroidal trapping geometry leads to $2\ell \hbar$ angular momentum per trapped atom.

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