Selective reflection from an Rb layer with a thickness below λ/12 and applications

Sargsyan, A.; Papoyan, A.; Hughes, Ifan G.; Adams, Charles S.; Sarkisyan, D.

doi:10.1364/ol.42.001476

Cited by 44 publications

(35 citation statements)

References 19 publications

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“…(22) and (26)] or the negative velocities [Eqs. (23) and (27)] comes from the assumptions that the atomic coherences are lost in a quenching collisions at the cell walls.…”

Section: Transmitted Field In a Dilute Regime With Cavity Boundariesmentioning

confidence: 99%

“…cells with sub-wavelength thickness, the non-locality should give rise to a mesoscopic response, as the system size is now on the order of the phase coherence length ξ, as explained below. These nano-cells are considered as potential atomic sensors [20,21] and ideal media to explore atom-light [22] and atom-surface interactions [23]. It is therefore important to understand how the mesoscopic response may affect the precision of these sensors.…”

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confidence: 99%

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Optical Transmission of an Atomic Vapor in the Mesoscopic Regime

et al. 2019

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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]

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“…(22) and (26)] or the negative velocities [Eqs. (23) and (27)] comes from the assumptions that the atomic coherences are lost in a quenching collisions at the cell walls.…”

Section: Transmitted Field In a Dilute Regime With Cavity Boundariesmentioning

confidence: 99%

mentioning

confidence: 99%

Optical Transmission of an Atomic Vapor in the Mesoscopic Regime

et al. 2019

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“…As one can expect, atomic transition frequencies of the dSR spectrum for = 350 nm are unshifted when comparing with the SA frequency reference which is explained by a relatively large distance between atoms and NC's windows. Indeed, evidences of AS interactions for atomic D 1,2 lines of alkali metals are found only for thicknesses 100 nm, see [26]. For this reason, the atomic transition frequency shift is negligible for = 190 nm since atoms are still at a relatively large distance from the windows.…”

Section: Resultsmentioning

confidence: 99%

Selective reflection from a potassium atomic layer with a thickness as small as λ/13

Sargsyan¹,

Klinger²,

Leroy³

et al. 2019

J. Phys. B: At. Mol. Opt. Phys.

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We demonstrate that a method using the derivative of the selective reflection signal from a nanocell is a convenient and robust tool for atomic laser spectroscopy, achieving a nearly Doppler-free spectral resolution. The recorded linewidth of the signal from a potassium-filled cell, whose thickness lies in the range 350 − 500 nm, is 18 times smaller than the Doppler linewidth (∼ 900 MHz full width at half maximum) of potassium atoms. We also show experimentally a sign oscillation of the reflected signal's derivative with a periodicity of λ/2 when varies from 190 to 1200 nm confirming the theoretical prediction. We report the first measurement of the van der Waals atom-surface interaction coefficient C 3 = 1.9 ± 0.3 kHz × µm 3 of potassium 4S 1/2 → 4P 3/2 transitions with the nanocell's sapphire windows, demonstrating the usefulness and convenience of the derivative of selective reflection technique for cell thicknesses in the range 60 − 120 nm.

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“…The narrower the features, the sharper the change and hence a more sensi-tive measurement can be made. One recent development in spectroscopic techniques is that of so-called 'Derivative of Selective Reflection' (DSR) in ultra-thin vapour cells [68,69], which is a modulation-free method to increase spectral resolution over conventional transmission and selective-reflection spectroscopy. Whilst modelling the spectra is more complex than in transmission spectroscopy, the use of sub-micron thickness vapour cells also increases the effective spatial resolution, making these systems very promising for future research.…”

Section: Spectral Sensitivity To Changes In Field Strength and Dirmentioning

confidence: 99%

Quantitative optical spectroscopy of ⁸⁷Rb vapour in the Voigt geometry in DC magnetic fields up to 0.4 T

Keaveney

Ponciano-Ojeda

Rieche

et al. 2019

J. Phys. B: At. Mol. Opt. Phys.

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We present a detailed spectroscopic investigation of a thermal 87 Rb atomic vapour in magnetic fields up to 0.4 T in the Voigt geometry. We fit experimental spectra with our theoretical model ElecSus and find excellent quantitative agreement, with RMS errors of ∼ 0.3%. We extract the magnetic field strength and the angle between the polarisation of the light and the magnetic field from the atomic signal and find excellent agreement to within ∼ 1% with a commercial Hall probe. Finally, we present an investigation of the relative sensitivity of this technique to variations in the field strength and angle with a view to enabling atom-based high-field vector magnetometry.

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Selective reflection from an Rb layer with a thickness below λ/12 and applications

Cited by 44 publications

References 19 publications

Optical Transmission of an Atomic Vapor in the Mesoscopic Regime

Optical Transmission of an Atomic Vapor in the Mesoscopic Regime

Selective reflection from a potassium atomic layer with a thickness as small as λ/13

Quantitative optical spectroscopy of ⁸⁷Rb vapour in the Voigt geometry in DC magnetic fields up to 0.4 T

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Selective reflection from an Rb layer with a thickness below λ/12 and applications

Cited by 44 publications

References 19 publications

Optical Transmission of an Atomic Vapor in the Mesoscopic Regime

Optical Transmission of an Atomic Vapor in the Mesoscopic Regime

Selective reflection from a potassium atomic layer with a thickness as small as λ/13

Quantitative optical spectroscopy of 87Rb vapour in the Voigt geometry in DC magnetic fields up to 0.4 T

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Quantitative optical spectroscopy of ⁸⁷Rb vapour in the Voigt geometry in DC magnetic fields up to 0.4 T