Cold matter trapping via slowly rotating helical potential

Abstract

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 $\pm \ell \hslash$. 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 $T\to 0$ limit the angular momentum of the helical cloud is expected to be zero while toroidal trapping geometry leads to $2\ell \hslash$ angular momentum per trapped atom.

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

References in corpus (13)

• Conservation of Angular Momentum, Transverse Shift, and Spin Hall Effect in Reflection and Refraction of Electromagnetic Wave Packet
• Quantized Rotation of Atoms From Photons with Orbital Angular Momentum
• Observation of Vortex Pinning in Bose-Einstein Condensates
• Vortex proliferation in the Berezinskii-Kosterlitz-Thouless regime on a two-dimensional lattice of Bose-Einstein condensates
• Trapping and observing single atoms in the dark
• Angular Momentum of a Photon and Phase Conjugation
• Lattice with a Twist : Helical Waveguides for Ultracold Matter
• Guiding-center solitons in rotating potentials
• Twisted speckle entities inside wavefront reversal mirrors
• Localized matter-waves patterns with attractive interaction in rotating potentials
• All-optical 3D atomic loops generated with Bessel light fields
• Phase-conjugation of the isolated optical vortex using a flat surfaces
• Laser Singular Theta-Pinch

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• Quantum single-particle properties in a one-dimensional curved space
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