Optical Response of Gas-Phase Atoms at Less than<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>λ</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mn>80</mml:mn></mml:math>from a Dielectric Surface

Whittaker, Kate; Keaveney, James; Hughes, Ifan G.; Sargsyan, A.; Sarkisyan, D.; Adams, Charles S.

doi:10.1103/physrevlett.112.253201

Cited by 42 publications

(50 citation statements)

References 47 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Both parameters characterize the bulk properties of the vapor and the van der Waals interactions between the atoms and the surfaces. They depend a priori on the density N (constant at a given temperature of the vapor) and the cell thickness L. The L-dependence comes only from the atom-surface interaction, as for small L the fraction of atoms close to the surface is larger than for large L. For Cs, the theoretical atom-sapphire interaction coefficient C 3 is around a few kHz.µm 3 [47,48]: in the range λ/4 ≤ L ≤ λ the influence of the surface on Γ p and ∆ p is therefore expected to be smaller than 10 MHz and thus negligible. Importantly, the cavity effects are already taken into account in both models through the multiple reflections and therefore should not contribute to Γ p and ∆ p [49].…”

mentioning

confidence: 99%

Optical Transmission of an Atomic Vapor in the Mesoscopic Regime

et al. 2019

Self Cite

View full text Add to dashboard Cite

By measuring the transmission of near-resonant light through an atomic vapor confined in a nano-cell we demonstrate a mesoscopic optical response arising from the non-locality induced by the motion of atoms with a phase coherence length larger than the cell thickness. Whereas conventional dispersion theory -where the local atomic response is simply convolved by the Maxwell-Boltzmann velocity distribution -is unable to reproduce the measured spectra, a model including a non-local, size-dependent susceptibility is found to be in excellent agreement with the measurements. This result improves our understanding of light-matter interaction in the mesoscopic regime and has implications for applications where mesoscopic effects may degrade or enhance the performance of miniaturized atomic sensors. arXiv:1809.08852v2 [physics.atom-ph]Here, we first derive the equations of the third (non-local) model of the main text, starting with the expression of the non-local susceptibility (Eq. (5)). Then, we derive the expression of the optical field transmitted through a thin layer of atomic gas, first in vacuum, and then accounting for the presence of glass interfaces. In Section II, we show that using a bimodal velocity distribution in the second model of the main text cannot reproduce consistently the data either. In Section III we give more details about the deviation of the transmission coefficient from the Beer-Lambert law. Finally, we analyze in more details the thickness dependence of the parameter Γ p extracted from the fit of the data by the local model. I. DERIVATION OF THE NON-LOCAL MODELIn this first Section, we derive the expression of the transmission through the atomic slab, including the cavity effect from the sapphire plates of the nanocell, making explicit the origin of the non-locality. A. The non-local susceptibilityWe start by deriving the expression of the non-local susceptibility χ(z, z , ω, v) of the ensemble of atoms for a velocity class v and at frequency ω. As explained in the main text, the presence of the cell walls makes it a challenging task in general. To simplify the situation, we will use the following procedure:1. We will treat the vapor as if it was homogeneous (i.e. in the absence of confining walls). In this case, the susceptibility depends only on the difference: χ(z, z , ω, v) = χ(z − z , ω, v).2. We will treat the effect of the surfaces separately. This will be done by assuming quenching collisions at the cell walls, i.e. the atomic coherence will be lost during these collisions [1] and reset to zero. In this way, there will not exist any relation between the coherence of atoms moving at +v or −v, contrarily to what would happen if the collisions with the walls were elastic. arXiv:1809.08852v2 [physics.atom-ph]

show abstract

mentioning

confidence: 99%

Optical Transmission of an Atomic Vapor in the Mesoscopic Regime

et al. 2019

Self Cite

View full text Add to dashboard Cite

show abstract

“…Theoretical spectra of n(ω) are generated using a model of the complex susceptibility that takes the Doppler broadened transitions and applies self-broadening [28], Dicke narrowing [29,30], atom-surface interactions [18], and reflectivity effects [31]. The fit compares the transmission line shape to the theoretical line shape from χ I (ω).…”

Section: Experimental Methodsmentioning

confidence: 99%

“…We test the validity of the method on an optical medium, atomic Cs vapor [18], where the real and imaginary parts of the optical response are known theoretically [19]. We conclude that to the accuracy of our experimental method, the Hilbert transform can be used to reliably predict the index and group index and thereby provides a convenient route to obtain these quantities.…”

Section: Introductionmentioning

confidence: 99%

Hilbert transform: Applications to atomic spectra

et al. 2015

View full text Add to dashboard Cite

Publisher's copyright statement:Reprinted with permission from the American Physical Society: Whittaker, K. A. and Keveaney, J. and Hughes, I. G. and Adams, C. S. (2015) 'Hilbert transform : applications to atomic spectra.', Physical review A., 91 (3). 032513 c 2015 by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modi ed, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society. Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-pro t purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. In many areas of physics, the Kramers-Kronig relations are used to extract information about the real part of the optical response of a medium from its imaginary counterpart. In this paper we discuss an alternative but mathematically equivalent approach based on the Hilbert transform. We apply the Hilbert transform to transmission spectra to find the group and refractive indices of a Cs vapor and thereby demonstrate how the Hilbert transform allows indirect measurement of the refractive index, group index, and group delay while avoiding the use of complicated experimental setups.

show abstract

“…Another issue inherent to the system size reduction, is the growing influence of the long-range atomsurface interaction, that triggered the development of new glass nano-cells [11][12][13]. Also, by combining short repulsive and long attractive potential, the possibility to trap atoms in bound states has theoretically been predicted [14] and this ability could make way to hybrid nanoscale atom-surface meta-materials [15].…”

Section: Introductionmentioning

confidence: 99%

Fabrication and characterization of super-polished wedged borosilicate nano-cells

Peyrot¹,

Beurthe²,

Coumar³

et al. 2019

Opt. Lett.

View full text Add to dashboard Cite

We report on the fabrication of an all-glass vapor cell with a thickness varying linearly between (exactly) 0 and ∼ 1 µm. The cell is made in Borofloat glass that allows super polish roughness, a full optical bonding assembling and easy filling with alkali vapors. We detail the challenging manufacture steps and present experimental spectra resulting from off-axis fluorescence and transmission spectroscopy of the Cesium D1 line. The very small surface roughness of 1Å rms is promising to investigate the atom-surface interaction or to minimize parasite stray light.

show abstract

Optical Response of Gas-Phase Atoms at Less thanλ/80from a Dielectric Surface

Cited by 42 publications

References 47 publications

Optical Transmission of an Atomic Vapor in the Mesoscopic Regime

Optical Transmission of an Atomic Vapor in the Mesoscopic Regime

Hilbert transform: Applications to atomic spectra

Fabrication and characterization of super-polished wedged borosilicate nano-cells

Contact Info

Product

Resources

About