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Journal of the Optical Society of America B

Lamb–Dicke localization of cold atoms in Ferris wheel optical dipole potential

V. E. Lembessis, A. Lyras, Omar Marzook Al-Dossary

Published Nov 1, 2021• 3 citations
Publisher

Abstract

We investigate the possibility of strong localization, of the Lamb–Dicke type, for cold atoms trapped by a far off-resonant Ferris wheel optical dipole potential. This optical dipole potential light field is created when a light field generated by the superposition of two similar co-propagating Laguerre–Gaussian beams, with opposite winding numbers, interacts with a two-level atom. We show that strong confinement of atoms in such a light field is possible when the light field is tightly focused, for low values of the winding number and relatively high values of power. We show that a combination of a Ferris wheel with an ordinary axial Gaussian optical lattice provides 3D cylindrically symmetric optical lattices in which the Lamb–Dicke limit can be reached for typically used experimental parameter values.

DOI
10.1364/josab.443903

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We investigate the possibility of strong localization, of the Lamb–Dicke type, for cold atoms trapped by a far off-resonant Ferris wheel optical dipole potential. This optical dipole potential light field is created when a light field generated by the superposition of two similar co-propagating Laguerre–Gaussian beams, with opposite winding numbers, interacts with a two-level atom. We show that strong confinement of atoms in such a light field is possible when the light field is tightly focused, for low values of the winding number and relatively high values of power. We show that a combination of a Ferris wheel with an ordinary axial Gaussian optical lattice provides 3D cylindrically symmetric optical lattices in which the Lamb–Dicke limit can be reached for typically used experimental parameter values.
We propose a scheme for the creation of stable optical Ferris wheel (OFW) solitons in a nonlocal Rydberg electromagnetically induced transparency (EIT) medium. Depending on a careful optimization of both the atomic density and the one-photon detuning, we obtain an appropriate nonlocal potential provided by the strong interatomic interaction in Rydberg states that can perfectly compensate for the diffraction of the probe OFW field. Numerical results show that the fidelity remains larger than 0.96, while the propagation distance has exceeded 160 diffraction lengths. Higher-order OFW solitons with arbitrary winding numbers are also discussed. Our study provides a straightforward route to generate spatial optical solitons in the nonlocal response region of cold Rydberg gases.
Abstract Counter-propagating co-axial Laguerre–Gaussian (LG) beams are considered, not in the familiar scenario where the focal planes coincide at z = 0, but when they are separated by a finite axial distance d . The simplest case is where both beams are doughnut beams which have the same linear polarisation. The total fields of this system are shown to display novel amplitude and phase distributions and are shown to give rise to a ring or a finite ring lattice composed of double rings and single central ring. When the beams have slightly different frequencies the ring lattice pattern becomes a finite set of rotating Ferris wheels and the whole pattern also moves axially between the focal planes. We show that the fields of such an axially shifted pair of counter-propagating LG beams generate trapping potentials due to the dipole force which can trap two-level atoms in the components of the ring lattice. We also highlight a unique feature of this system which involves the creation of a new longitudinal optical atom trapping potential due to the scattering force which arises solely when d ≠ 0 . The results are illustrated using realistic parameters which also confirm the importance of the Gouy and curvature effects in determining the ring separation both radially and axially and gives rise to the possibility of atom tunnelling between components of the double rings.
We propose and demonstrate a scheme for strong radial confinement of a single 87 Rb atom by a bichromatic far-off resonance optical dipole trap (BFORT). The BFORT is composed of a blue-detuned Laguerre-Gaussian LG01 beam and a red-detuned Gaussian beam. The atomic oscillation frequency measurement shows that the effective trapping dimension is much sharper than that from a diffraction-limited microscopic objective. Theory shows that the added scattering rate due to imposing blue-detuned light is negligible when the temperature of the single atoms is close to ground state temperature. By carrying out sub-Doppler cooling, the mean energy of single atoms trapped in the BFORT is reduced to 15 ± 1 μK. The corresponding mean quantum number of radial vibration n is about 1.65, which satisfies the Lamb-Dicke regime. We conclude that the BFORT is a suitable Lamb-Dicke trap for further cooling a single neutral atom down to the ground state and for further application in quantum information processing.
We consider the creation of artificial gauge magnetic and electric fields created when a two-level atom interacts with an optical Ferris wheel light field. These fields have the spatial structure of the optical Ferris wheel field intensity profile. It is shown, we believe for first time, that when this optical field pattern is made to rotate, then we have the creation of artificial electromagnetic fields that propagate in curved paths. The properties as well the limitations of these artificial electromagnetic fields are investigated and discussed.
We are exploring the possibilities offered by Spatial Light Modulators to create dipole potentials with arbitrary shape in order to apply to cold atoms. As a first experiment we have realized a guide for atoms by shaping the laser beam into a Laguerre-Gaussian mode, creating a sort of tube, empty of light, where the atoms rest confined during their flight in the gravity field. We are, now, creating new potentials by modifying the Laguerre-Gaussian hologram in order to create new original traps for atoms.
We study the formation of spatially dependent electromagnetically induced transparency (EIT) patterns from pairs of Laguerre-Gauss (LG) modes in an ensemble of cold interacting Rydberg atoms. The EIT patterns can be generated when two-photon detuning does not compensate for the Rydberg level energy shift induced by van der Waals interaction. Depending on the topological numbers of each LG mode, we can pattern dark and bright Ferris-wheel-like structures in the absorption profile with tunable barriers between sites, providing confinement of Rydberg atoms in transverse direction while rendering them transparent to light at specific angular positions. We also show how the atomic density may affect the azimuthal modulation of the absorption profile.