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arXiv:2012.09465 · Physical Review A

Chirality-enabled optical dipole potential energy for two-level atoms

V. E. Lembessis, Koray Köksal, J. Yuan, M. Babiker

Published Jan 13, 2021• 16 citations
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Abstract

We consider the optical dipole potential energy, which arises from the interaction of a two-level atom with a circularly polarized Laguerre-Gaussian laser beam of small waist. The beam is characterized by the existence of a longitudinal electric field component which is responsible for the appearance of a chiral term in the optical dipole potential energy. This term reverses sign if either the winding number or the wave polarization of the beam reverses sign. We propose a scheme of a bi-chromatic vortex interaction with the two-level atom in which the resulting optical dipole potential is fully chiral.

DOI
10.1103/physreva.103.013106

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We consider the optical dipole potential energy, which arises from the interaction of a two-level atom with a circularly polarized Laguerre-Gaussian laser beam of small waist. The beam is characterized by the existence of a longitudinal electric field component which is responsible for the appearance of a chiral term in the optical dipole potential energy. This term reverses sign if either the winding number or the wave polarization of the beam reverses sign. We propose a scheme of a bi-chromatic vortex interaction with the two-level atom in which the resulting optical dipole potential is fully chiral.
Abstract Truncated optical Bessel (TOB) beams are an orthonormal set of optical vortex beams that possess orbital angular momentum (OAM). It is characterized by a significant longitudinal electric field component at the sub-wavelength scales. The photons of a circularly polarized TOB beam also carry spin angular momentum (SAM) and can interact with a two-level atom, in the far-off resonance regime, giving rise to an optical dipole potential energy that involves a spin–orbit term that stems from the inclusion of the longitudinal field component. When a two-level atom is simultaneously irradiated by two TOB beams, the optical dipole potential energy, in some special cases, is entirely dependent on the OAM–SAM coupling. We explore the cold-atom trapping options enabled by the use of TOB beams, either single ones or combinations thereof. We put emphasis on case in which the OAM–SAM coupling is the dominant contribution. The similarities and differences between the results obtained for the TOB beams and those for the Laguerre–Gaussian beams are also discussed.
A novel optical set-up which enables cold atoms to be trapped in a finite set of miniature (sub-wavelength) bottle traps is highlighted. These bottle traps are formed when the atoms interact with a tightly focused standing wave due to two-counter propagating optical vortex beams possessing the same winding number ℓ=±1\ell=\pm1ℓ=±1 and the same circular polarization (σ=∓1)\sigma=\mp 1)σ=∓1). Tight focusing generates strong longitudinal field components which become responsible for an on-axis standing wave. The resulting optical potential leads to the axial confinement of far blue-detuned atoms. This completes the formation of the bottle trap, since the off-axis radial confinement is, as usual, provided by the optical potential due to the interference of the transverse components of the light. The main characteristics of the bottle traps are illustrated using typical experimentally-accessible parameters. Due to the spin-orbit coupling the trap parameters are tunable by changing the ellipicity of the light.
A novel optical set-up which enables cold atoms to be trapped in a finite set of miniature (sub-wavelength) bottle traps is highlighted. These bottle traps are formed when the atoms interact with a tightly focused standing wave due to two-counter propagating optical vortex beams possessing the same winding number ℓ=±1\ell=\pm1ℓ=±1 and the same circular polarization (σ=∓1)\sigma=\mp 1)σ=∓1). Tight focusing generates strong longitudinal field components which become responsible for an on-axis standing wave. The resulting optical potential leads to the axial confinement of far blue-detuned atoms. This completes the formation of the bottle trap, since the off-axis radial confinement is, as usual, provided by the optical potential due to the interference of the transverse components of the light. The main characteristics of the bottle traps are illustrated using typical experimentally-accessible parameters. Due to the spin-orbit coupling the trap parameters are tunable by changing the ellipicity of the light.
The transfer of orbital angular momentum from an optical vortex to an atomic Bose-Einstein condensate changes the vorticity of the condensate. The spatial mismatch between initial and final center-of-mass wavefunctions of the condensate influences significantly the two-photon optical dipole transition between corresponding states. We show that the transition rate depends on the handedness of the optical orbital angular momentum leading to optical manipulation of matter-wave vortices and circular dichroism-like effect. Based on this effect, we propose a method to detect the presence and sign of matter-wave vortex of atomic superfluids. Only a portion of the condensate is used in the proposed detection method leaving the rest in its initial state.
We highlight what we believe to be a novel optical set-up which enables the confinement of cold atoms in a finite set of sub-wavelength bottle traps. This involves two counter-propagating vortex beams with the same winding number ℓ = ±1 and the same circular polarization (σ=∓1)\sigma =\mp 1)σ=∓1). Strong focusing generates significant longitudinal field components which become responsible for an on-axis standing wave enabling the axial confinement of far blue-detuned atoms. The off-axis radial confinement is provided by the optical potential due to the transverse components of the light. The trap characteristics are illustrated using experimentally accessible parameters and are tunable by changing the power, focusing and ellipticity of the light. Atoms trapped in such a set-up are useful for applications, including quantum simulation and quantum information processing.
Recent studies have confirmed the coupling of optical vortices, such as Laguerre-Gaussian and Bessel-Gaussian modes, to quadrupole-active atomic transitions. This interaction has been shown to be enhanced considerably in the case of Laguerre-Gaussian beams due to the gradient coupling, particularly, in the case of a relatively large winding number. Here, we consider the trapping and the dynamics of atoms in the optical quadrupole potential generated by two coaxial counterpropagating optical vortex beams. We focus on the atomic transition $6{\phantom{\rule{0.16em}{0ex}}}^{2}{S}_{1/2}\ensuremath{\rightarrow}5{\phantom{\rule{0.16em}{0ex}}}^{2}{D}_{5/2}$ in Cs which is a dipole-forbidden but a quadrupole-allowed transition. We show how this atomic transition engages with the optical vortex fields at near resonance, leading to atom trapping in the optical quadrupole potential well accompanied by translational motion. We show how the optical forces generate the motion of the atoms trapped within the quadrupole potential, illustrating the results using typical experimentally accessible parameters.