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arXiv:1303.2922 · New Journal of Physics

Integrated optical dipole trap for cold neutral atoms with an optical waveguide coupler

J Lee, D H Park, S Mittal, M. Dagenais, S. L. Rolston

Published Apr 9, 2013• 24 citations
arXivHTMLPDF

Abstract

An integrated optical dipole trap uses two-color (red and blue-detuned) traveling evanescent wave fields for trapping cold neutral atoms. To achieve longitudinal confinement, we propose using an integrated optical waveguide coupler, which provides a potential gradient along the beam propagation direction sufficient to confine atoms. This integrated optical dipole trap can support an atomic ensemble with a large optical depth due to its small mode area. Its quasi- TE 0 waveguide mode has an advantage over the HE 11 mode of a nanofiber, with little inhomogeneous Zeeman broadening at the trapping region. The longitudinal confinement eliminates the need for a one dimensional optical lattice, reducing collisional blockaded atomic loading, potentially producing larger ensembles. The waveguide trap allows for scalability and integrability with nano-fabrication technology. We analyze the potential performance of such integrated atom traps.

DOI
10.1088/1367-2630/15/4/043010

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An integrated optical dipole trap uses two-color (red and blue-detuned) traveling evanescent wave fields for trapping cold neutral atoms. To achieve longitudinal confinement, we propose using an integrated optical waveguide coupler, which provides a potential gradient along the beam propagation direction sufficient to confine atoms. This integrated optical dipole trap can support an atomic ensemble with a large optical depth due to its small mode area. Its quasi- TE 0 waveguide mode has an advantage over the HE 11 mode of a nanofiber, with little inhomogeneous Zeeman broadening at the trapping region. The longitudinal confinement eliminates the need for a one dimensional optical lattice, reducing collisional blockaded atomic loading, potentially producing larger ensembles. The waveguide trap allows for scalability and integrability with nano-fabrication technology. We analyze the potential performance of such integrated atom traps.
Integrated optical structures offer the intriguing potential of compact, reproducible waveguide arrays, rings, Y junctions, etc., that could be used to design evanescent field traps to transport, store, and interact atoms in networks as complicated as any integrated optical waveguide circuit. We theoretically investigate three approaches to trapping atoms above linear integrated optical waveguides. A two-color scheme balances the decaying evanescent fields of red- and blue-detuned light to produce a potential minimum above the guide. A one-color surface trap proposal uses blue-detuned light and the attractive surface interaction to provide a potential minimum. A third proposal uses blue-detuned light in two guides positioned above and below one another. The atoms are confined to the ``dark'' spot in the vacuum gap between the guides. We find that all three approaches can be used to trap atoms in two or three dimensions with approximately 100 mW of laser power. We show that the dark spot guide is robust to light scatter and provides the most viable approach for constructing integrated optical circuits that could be used to transport and manipulate atoms in a controlled manner.
The trapping of ultra-cold atoms using two-color evanescent light waves formed by propagating modes of suspended optical rib waveguides is modeled in different configurations. Reducing the anisotropy of the two-color evanescent optical dipole potential requires two laser light components with a large frequency difference. The upper frequency is guided in the two lowest transverse waveguide modes, and the lower frequency propagates in a single-mode regime. This increases the depth of the dipole potential in the lateral direction. An additional increase in the optical dipole potential can be achieved by tuning the frequencies of the two modes to two different atomic transitions. When applied to rubidium, the total depth of the corresponding surface optical dipole traps can reach 0.3 mK or greater under reasonable conditions.
We propose an optical dipole trap for cold, neutral atoms based on the electric field produced from the evanescent fields in a hollow, rectangular slot cut through an optical nanofibre. In particular, we discuss the trap performance in relation to laser-cooled rubidium atoms and show that a far off-resonance, blue-detuned field combined with the attractive surface-atom interaction potential from the dielectric material forms a stable trapping configuration. With the addition of a red-detuned field, we demonstrate how three dimensional confinement of the atoms at a distance of 140–200 nm from the fibre surface within the slot can be accomplished. This scheme facilitates optical coupling between the atoms and the nanofibre that could be exploited for quantum communication schemes using ensembles of laser-cooled atoms.
We analyze evanescent fields of laser written waveguides and show that they can be used to trap atoms close to the surface of an integrated optical atom chip. In contrast to subwavelength nanofibres it is generally not possible to create a stable trapping potential using only the fundamental modes. This is why we create a stable trapping potential by using two different laser colors, such that the waveguide supports two modes for the blue detuned laser, while for the red detuned light the waveguide has only a single mode. In particular, we study such a two-color trap for Cesium atoms, and calculate both the potential and losses for the set of parameters that are within experimental reach. We also optimize system parameters in order to minimize trap losses due to photon scattering and tunneling to the surface.
We propose an optical dipole trap for cold neutral atoms based on the electric field produced from the evanescent fields in a hollow rectangular slot cut through an optical nanofibre. In particular, we discuss the trap performance in relation to laser-cooled rubidium atoms and show that a far off-resonance, blue-detuned field combined with the attractive surface-atom interaction potential from the dielectric material forms a stable trapping configuration. With the addition of a red-detuned field, we demonstrate how three dimensional confinement of the atoms at a distance of 140 - 200 nm from the fibre surface within the slot can be accomplished. This scheme facilitates optical coupling between the atoms and the nanofibre that could be exploited for quantum communication schemes using ensembles of laser-cooled atoms.
We propose a dipole-force linear waveguide which confines neutral atoms up to $\ensuremath{\lambda}/2$ above a microfabricated single-mode dielectric optical guide. The optical guide carries far blue-detuned light in the horizontally-polarized TE mode and far red-detuned light in the vertically-polarized TM mode, with both modes close to optical cut-off. A trapping minimum in the transverse plane is formed above the optical guide due to the differing evanescent decay lengths of the two modes. This design allows manufacture of mechanically stable atom-optical elements on a substrate. We calculate the full vector bound modes for an arbitrary guide shape using two-dimensional non-uniform finite elements in the frequency-domain, allowing us to optimize atom waveguide properties. We find that a rectangular optical guide of $0.8\ensuremath{\mu}\mathrm{m}$ by $0.2\ensuremath{\mu}\mathrm{m}$ carrying 6 mW of total laser power (detuning $\ifmmode\pm\else\textpm\fi{}15\mathrm{nm}$ about the D2D2D2 line) gives a trap depth of $200\ensuremath{\mu}\mathrm{K}$ for cesium atoms (mF=0),{(m}_{F}=0),(mF​=0), transverse oscillation frequencies of fx=40kHz{f}_{x}=40\mathrm{kHz}fx​=40kHz and fy=160kHz,{f}_{y}=160\mathrm{kHz},fy​=160kHz, collection area $\ensuremath{\sim}1\ensuremath{\mu}{\mathrm{m}}^{2}$ and coherence time of 9 ms. We discuss the effects of non-zero mF,{m}_{F},mF​, the D1D1D1 line, surface interactions, heating rate, the substrate refractive index, and the limits on waveguide bending radius.