Scattering theory of multilevel atoms interacting with arbitrary radiation fields

Xuereb, André; Domokos, P.; Horák, Péter; Freegarde, Tim

doi:10.1088/0031-8949/2010/t140/014010

Cited by 7 publications

(6 citation statements)

References 14 publications

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“…Besides, κ 2 > 0 holds for all values of I p , meaning that no antisymmetric modes can be obtained if κ 1 < 1, cf. (22). Generally we find that tuning the perturbation field intensity offers a variety of different dynamics not accesible with traditional standing wave setups.…”

Section: Two Beam Splitters In An Bichromatic Optical Latticementioning

confidence: 89%

“…The polarizability then loses all spin and polarization dependencies resulting in a scalar quantity This is why the coupling parameter ζ introduced in equation ( 1) is proportional to a linear atomic polarizability and the wavenumber. For a generalization of the beam splitter method to multi-level atoms with tensor polarizability we refer to a work by Xuereb et al [22]. In this work we will assume that the atomic polarizability α is the same for k y and k z , hence ζ z = ζ y k z /k y .…”

Section: Multiple Scattering Approach To Multicolour Light Propagatio...mentioning

confidence: 99%

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Scattering approach to two-colour light forces and self-ordering of polarizable particles

2014

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Collective coherent scattering of laser light by an ensemble of polarizable point particles creates long-range interactions, whose properties can be tailored by the choice of injected laser powers, frequencies, and polarizations. We use a transfer matrix approach to study the forces induced by non-interfering fields of orthogonal polarization or different frequencies in a 1D geometry, and find long-range self-ordering of particles without a prescribed order. Adjusting the laser frequencies and powers allows one to tune the inter-particle distances and provides a wide range of possible dynamical couplings not accessible in usual standing wave geometries with prescribed order. In this work, we restrict the examples to two frequencies and polarizations, but the framework also allows one to treat multicolour light beams with random phases. These dynamical effects should be observable in existing experimental setups with effective 1D geometries, such as atoms or nanoparticles coupled to the field of an optical nanofibre or transversely trapped in counter-propagating Gaussian beams.

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Section: Two Beam Splitters In An Bichromatic Optical Latticementioning

confidence: 89%

Section: Multiple Scattering Approach To Multicolour Light Propagatio...mentioning

confidence: 99%

Scattering approach to two-colour light forces and self-ordering of polarizable particles

2014

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“…(31) In this regime, we have s ξξ,j ≃ sξξ,j and R j can be computed without solving the infinite system (22). Indeed, Eq.…”

Section: A Low-intensity Regimementioning

confidence: 99%

“…In practice, purely numerical approaches are enforced in this case (see, e.g., Refs. [16][17][18][19][20][21][22]).…”

Section: Introductionmentioning

confidence: 99%

Radiation pressure on single atoms: generalization of an exact analytical approach to multilevel atoms

Podlecki¹,

Martin²,

Bastin³

2021

Preprint

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In a recent work, we provided a standardized and exact analytical formalism for computing in the semiclassical regime the radiation force experienced by a two-level atom interacting with any number of plane waves with arbitrary intensities, frequencies, phases, and propagation directions [J. Opt. Soc. Am. B 35, 127-132 (2018)]. Here, we extend this treatment to the multilevel atom case, where degeneracy of the atomic levels is considered and polarization of light enters into play. A matrix formalism is developed to this aim.

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“…Here, however, we make use of the TMM for moving scatterers [30,35], which allows the calculation of such dynamical quantities as the friction force acting on the moving scatterer within the same framework. In this paper our investigation will be limited to single transverse-mode situations, but is extendible to multi-mode situations [17,36] by allowing the scatterers to couple the different modes together, in the spirit of [37].…”

Section: Introductionmentioning

confidence: 99%

Dynamical scattering models in optomechanics: going beyond the ‘coupled cavities’ model

Xuereb

Domokos²

2012

New J. Phys.

Self Cite

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Recently we calculated the radiation field and the optical forces acting on a moving object inside a general one-dimensional configuration of immobile optical elements (Xuereb et al 2010 Phys. Rev. Lett. 105 013602). In this paper, we analyse the forces acting on a semi-transparent mirror in the 'membrane-in-the-middle' configuration and compare the results obtained from solving the scattering model to those from the coupled cavities model that is often used in cavity optomechanical systems. We highlight the departure of this model from the more exact scattering theory when the intensity reflectivity of the moving element drops below about 50%.

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Scattering theory of multilevel atoms interacting with arbitrary radiation fields

Cited by 7 publications

References 14 publications

Scattering approach to two-colour light forces and self-ordering of polarizable particles

Scattering approach to two-colour light forces and self-ordering of polarizable particles

Radiation pressure on single atoms: generalization of an exact analytical approach to multilevel atoms

Dynamical scattering models in optomechanics: going beyond the ‘coupled cavities’ model

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