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arXiv:2201.13009 · Journal of Physics B Atomic Molecular and Optical Physics

Optical pumping and relaxation of atomic population in assorted conditions

Saptarshi Roy Chowdhury, Swarupananda Pradhan

Published Jun 28, 2022• 5 citations
arXivHTMLPDF

Abstract

Abstract Precise control and knowledge over atomic dynamics is central to the advancement of quantum technology. The different experimental conditions namely, atoms in a vacuum, antirelaxation coated and buffer gas filled atomic cells provide complementary platforms for such investigations. The extent of changes in optical pumping, velocity changing collision and hyperfine changing collision rates associated with these conditions are discussed. There is a phenomenal change in the optical density by a factor of >25 times in the presence of a control field in a buffer gas environment. We found confinement induced enhanced optical pumping as the mechanism behind the observed transparency in buffer gas cell. The diffusive velocity of atoms were measured to be ∼25 ± 12 m s−1 and ⩽8 ± 4 m s−1 for antirelaxation coated and buffer gas filled cells respectively. The measurements were carried out for 85Rb atoms in natural isotopic composition using pump–probe spectroscopy. The studies will have useful application in measurements of relaxation rates, quantum memory, quantum repeaters and atomic devices.

DOI
10.1088/1361-6455/ac7ca6

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Abstract Precise control and knowledge over atomic dynamics is central to the advancement of quantum technology. The different experimental conditions namely, atoms in a vacuum, antirelaxation coated and buffer gas filled atomic cells provide complementary platforms for such investigations. The extent of changes in optical pumping, velocity changing collision and hyperfine changing collision rates associated with these conditions are discussed. There is a phenomenal change in the optical density by a factor of >25 times in the presence of a control field in a buffer gas environment. We found confinement induced enhanced optical pumping as the mechanism behind the observed transparency in buffer gas cell. The diffusive velocity of atoms were measured to be ∼25 ± 12 m s−1 and ⩽8 ± 4 m s−1 for antirelaxation coated and buffer gas filled cells respectively. The measurements were carried out for 85Rb atoms in natural isotopic composition using pump–probe spectroscopy. The studies will have useful application in measurements of relaxation rates, quantum memory, quantum repeaters and atomic devices.
We have measured changes in the ground-state populations of Cs vapor induced by optical pumping at high magnetic field. The 2.72.72.7-T field of our experiments is strong enough to decouple the nuclear and electronic spins, allowing us to independently measure each population. The spatial dependence of the Cs populations in small amounts of buffer gas obeys a simple coupled diffusion model and the relative populations reveal the details of relaxation within the vapor cell. Optical pumping can produce high nuclear polarization in the Cs vapor due to perturbations of the hyperfine interaction during collisions with buffer-gas particles and depending on the pumping transition, radiation trapping can strongly influence the electronic and nuclear polarizations in the vapor.
We discuss optical pumping when (a) the collision rates of optically pumped atoms with atoms or molecules of the background gas are small enough that individual velocity groups can be preferentially excited by a monochromatic light beam, (b) the collision rates are still fast enough to partially transfer the spin polarization to other velocity groups, and (c) there are nonnegligible losses of polarization due to collisional spin relaxation and Larmor precession. These conditions lead to a strong correlation between the velocity and the spin polarization of the atoms---that is, to ``spin-tagging'' of the different velocity groups. This regime is similar to that of optically pumped 23Na^{23}\mathrm{Na}23Na atoms of the Earth's upper atmosphere, but it is seldom encountered in laboratory experiments. For cooling and trapping experiments, the collision rates with background gas are negligible. For gas-cell experiments the velocity-changing rates are normally so fast compared to spin relaxation or Larmor precession rates that the atoms have a Maxwellian velocity distribution with negligible correlation between the spin polarization and the velocity. We analyze the limiting cases of strong and weak collisions, which change the velocity by a large or small fraction, respectively, of the mean thermal velocity. The Keilson-Storer model [J. Keilson and A. E. Storer, Q. Appl. Math. 10, 243 (1952)] is used to discuss strong collisions, with memory parameter $\ensuremath{\alpha}=0$ and weak collisions with $\ensuremath{\alpha}\ensuremath{\rightarrow}1$. For weak collisions, the physics can be modeled by coupled Fokker-Planck equations, identical to those for forced diffusion in a harmonic-oscillator potential well. In this limit there are solutions analogous to the quantum mechanical coherent states of a harmonic oscillator.
Abstract We demonstrate both numerically and experimentally the important role of buffer gas in achieving optical isolator based on efficient hyperfine-structure optical pumping of Rubidium (87Rb) atoms in miniaturized vapor cells. It is observed that the increase in the buffer gas pressure allows achieving highly efficient optical pumping. Specifically, at a buffer gas pressure of 40 Torr, it is possible to pump about 85% of the atoms out of the pumped state into the other ground state. While optical pumping has been reported for conventional centimeter-scale cells, we show that in miniaturized cells the role of buffer gas is crucial, as the higher collision rate with the walls diminishes the effect of optical pumping, posing a stringent limitation on the applicability of optical pumping in miniaturized systems. Following the results reported herein, we demonstrate an optical isolator with isolation ratio better than 20 dB at a relatively low temperature of about 80 °C, and with a low magnetic field (∼800 Gauss). The obtained results provide another step forward in the quest for miniaturizing quantum devices. The demonstrated device shows that such miniaturized vapor cells can be considered for applications such as all-optical switching, optical quantum memory, frequency references, and magnetometry to name a few.
The hyperfine relaxation of a population difference, produced by optical pumping, between the F=1F=1F=1 mF=0{m}_{F}=0mF​=0 and F=2F=2F=2 mF=0{m}_{F}=0mF​=0 energy levels of the ground state of Rb87{\mathrm{Rb}}^{87}Rb87, has been studied in cells containing neon, argon, helium, or krypton as a buffer gas. The relaxation times T1{T}_{1}T1​ and T2{T}_{2}T2​ have been measured as a function of the rubidium vapor pressure in the cell. The relaxation rate due to spin exchange in Rb87{\mathrm{Rb}}^{87}Rb87-Rb87{\mathrm{Rb}}^{87}Rb87 collisions has been found equal to 65 ${\mathrm{sec}}^{\ensuremath{-}1}$ at 44\ifmmode^\circ\else\textdegree\fi{}C, and the diffusion coefficients of Rb87{\mathrm{Rb}}^{87}Rb87 atoms in He, Ne, and Ar evaluated as 0.6, 0.31, and 0.22 cm2{\mathrm{cm}}^{2}cm2 ${\mathrm{sec}}^{\ensuremath{-}1}$, respectively. The cross section for Rb87{\mathrm{Rb}}^{87}Rb87-Ne and Rb87{\mathrm{Rb}}^{87}Rb87-Ar collisions are found to be 1.6\ifmmode\times\else\texttimes\fi{}${10}^{\ensuremath{-}22}$ cm2{\mathrm{cm}}^{2}cm2 and 9\ifmmode\times\else\texttimes\fi{}${10}^{\ensuremath{-}22}$ cm2{\mathrm{cm}}^{2}cm2. These values are in general agreement with values previously obtained by other methods. The extrapolated values of 1T2\frac{1}{{T}_{2}}T2​1​ for zero vapor pressure of rubidium are 185, 237, and 318 ${\mathrm{sec}}^{\ensuremath{-}1}$ for Ne, He, or Ar, respectively. Relaxations by the pumping light or by the magnetic field inhomogeneities are also discussed.
The atomic population trapped in uncoupled atomic states is a limiting factor for processes based on laser-atom interaction. The use of repump laser, bi-chromatic field, and vector magnetic field are explored in degenerate as well as non-degenerate atomic system to overcome the limitation. The magnetic resonance of 85Rb atoms under these complementary conditions are investigated in a buffer gas filled cell. The most suitable condition is achieved by the combined action of a bi-chromatic light with a specific combination of magnetic fields for non-degenerate levels where the relevant magnetic resonance shows more than 7-fold increase in its amplitude. The phenomenon is consistently observed through RF as well as magnetic field de-modulation technique. It will lead to similar improvement in the sensitivity of the atomic magnetometers. The optical pumping of the atomic population to the stretch state by manipulation of magnetic field will be of general interest involving quantum technology.
Abstract A better theoretical understanding of the atom – surface interactions and of the experimental consequences and applications to a reproducible method for the construction of reliable coated absorption cells is the main scope of our research. In this paper we report on the influence of diode laser intensity and of diode frequency scanning rate on the spectrum of the D2 line of Rb atoms, contained in paraffin or PolyDiMethylSiloxane (PDMS) coated glass cells. The anti-relaxation coating of inner walls of the glass cells allows to extend the optical orientation of atoms induced by the light to the entire cell volume and atomic velocity distribution. Moreover, in order to further investigate the role of atoms adsorbed in the anti-relaxation coatings, the D2 line spectra are compared for two cases: without and with illumination of the walls of the cell by an ultraviolet lamp. A theoretical model based on rate equations is introduced in order to analyze the experimental results. The extracted behaviour is a simple method to test the conditions of a coated surface. This finds applications in all cases where timely assessment of an organic coating layer is critical, from vapour spectroscopy to magneto-optical trapping of rare and radioactive species.