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Physical Review A

Electron-spin-reversal phenomenon in optically pumped rubidium

Eric B. Norrgard, D. Tupa, Joan Dreiling, T. J. Gay

Published Sep 10, 2010• 7 citations
Publisher

Abstract

We have studied the optical pumping of mixtures of Rb vapor and ${\mathrm{N}}_{2}$ buffer gas by laser light tuned to the ${D}_{1}$ transition having a spectral width of $~500$ MHz. The Rb densities are of the order of ${10}^{13}$ cm${}^{\ensuremath{-}3}$, while the buffer-gas pressures range from 0.1 to 10 torr. As the frequency of the right-hand circularly polarized laser is varied across the ${D}_{1}$ absorption profile, the electron spin polarization of the Rb is found to take on negative values for small negative values of pump detuning from the absorption profile center. This occurs for ${\mathrm{N}}_{2}$ pressures below $~1$ torr; at 10 torr the electron spins consistently point in the same direction as the angular momentum of the pump light. The spin-reversal effect can be understood in terms of populations of the $F=2$ ($^{85}\mathrm{Rb}$) and $F=1$ ($^{87}\mathrm{Rb}$) states caused by small unpolarized fractions in the pump beam and its elimination in terms of pressure broadening caused by the ${\mathrm{N}}_{2}$ buffer gas. We speculate that this effect could be used for fast Rb spin modulation.

DOI
10.1103/physreva.82.033408

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We have studied the optical pumping of mixtures of Rb vapor and N2{\mathrm{N}}_{2}N2​ buffer gas by laser light tuned to the D1{D}_{1}D1​ transition having a spectral width of  500~500 500 MHz. The Rb densities are of the order of 1013{10}^{13}1013 cm\ensuremath−3{}^{\ensuremath{-}3}\ensuremath−3, while the buffer-gas pressures range from 0.1 to 10 torr. As the frequency of the right-hand circularly polarized laser is varied across the D1{D}_{1}D1​ absorption profile, the electron spin polarization of the Rb is found to take on negative values for small negative values of pump detuning from the absorption profile center. This occurs for N2{\mathrm{N}}_{2}N2​ pressures below  1~1 1 torr; at 10 torr the electron spins consistently point in the same direction as the angular momentum of the pump light. The spin-reversal effect can be understood in terms of populations of the F=2F=2F=2 (85Rb^{85}\mathrm{Rb}85Rb) and F=1F=1F=1 (87Rb^{87}\mathrm{Rb}87Rb) states caused by small unpolarized fractions in the pump beam and its elimination in terms of pressure broadening caused by the N2{\mathrm{N}}_{2}N2​ buffer gas. We speculate that this effect could be used for fast Rb spin modulation.
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A cryogenic technique has been used to produce polarized 3He^{3}\mathrm{He}3He targets of up to relative density p=12 atm (\ensuremath{\approxeq}3\ifmmode\times\else\texttimes\fi{}1020{10}^{20}1020 3He^{3}\mathrm{He}3He atoms/cm3{\mathrm{cm}}^{3}cm3; p=1 atm corresponds to 760 Torr or 101.3 kPa pressure at 273 K). In these targets 3He^{3}\mathrm{He}3He nuclei are polarized by spin-exchange collisions with optically pumped rubidium atoms. From transmission measurements at wavelengths of 790--800 nm, we have determined pressure shifts, linewidths, and line-shape asymmetries for the Rb 5S1/2{\mathit{S}}_{1/2}S1/2​\ensuremath{\rightarrow}5P1/2{\mathit{P}}_{1/2}P1/2​ D1 transition. The Rb spin-destruction rate was found to exhibit a quadratic increase versus 3He^{3}\mathrm{He}3He pressure, which indicates the importance of Rb${\mathrm{\ensuremath{-}}}^{3}$He${\mathrm{\ensuremath{-}}}^{3}$He collision processes. The transmission results for circularly polarized light are well described by a model that predicts the dependence of the average Rb polarization on Rb density, 3He^{3}\mathrm{He}3He pressure, light intensity, and cell geometry. The Rb${\mathrm{\ensuremath{-}}}^{3}$He spin-exchange cross section, 〈${\mathrm{\ensuremath{\sigma}}}_{\mathrm{SE}}$v〉=6.1\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}20}$ cm3{\mathrm{cm}}^{3}cm3 ${\mathrm{s}}^{\mathrm{\ensuremath{-}}1}$, was found to be independent of 3He^{3}\mathrm{He}3He pressure up to p=12.1 atm. Maximum 3He^{3}\mathrm{He}3He polarizations of 72--79% were observed with cells of 17 cm3{\mathrm{cm}}^{3}cm3 volume that contained 3He^{3}\mathrm{He}3He at p=6--9 atm.
We simulated the optical pumping rate of 87Rb atoms with Xe and high-pressure buffer gas in a cubic cell. We calculated absorption cross-section as a function of pumping laser frequency by considering a pressure and Doppler broadening as gas temperature varies from 364 K to 414 K. In a steady state the spin polarization and the atomic population of 87Rb atoms were obtained by optical pumping in each ground state. We calculated the optimum beam waist, linewidth and detuning of pumping beam to achieve higher population of polarized atoms at cell parameters such as temperature, size. We simulated that the optimum beam waist is 0.3 times of cubic cell length at 250 Torr of di-nitrogen and 50 Torr of Xe gas pressure. The optimum laser beam linewidth parabolically increases with increasing the temperature in range of few ten kelvin and it exponentially decrease with increasing the cubic cell length. We also observed that few ten GHz detuned laser frequency increases the optical pumping rate. These numerical results show appropriate experimental parameter as a function of cell temperature and size to get maximum population of spin polarized atoms in given temperature range.
We present measurements of the circular dichroism of optically pumped Rb vapor near the D1{D}_{1}D1​ resonance line. Collisions with the buffer gases 3He^{3}\mathrm{He}3He and N2{\mathrm{N}}_{2}N2​ reduce the transparency of the vapor, even when fully polarized. We use two methods to measure this effect, show that the He results can be understood from RbHe potential curves, and show how this effect conspires with the spectral profile of the optical pumping light to increase the laser power demands for optical pumping of very optically thick samples.
A new optical method for studying the spin relaxation of optically aligned rubidium vapor is described. In this method, the pumping radiation, consisting of circularly polarized D1{D}_{1}D1​ resonance radiation, is suddenly shut off and then turned on again after a known time interval. The relaxation which takes place during the interval of darkness causes the vapor to become more opaque to the pumping radiation at a rate which is determined by the relaxation time. A large degree of alignment, as well as a relaxation time of about 80 milliseconds, were observed in a closed-off evacuated cylindrical glass cell completely lined, except for 1200\frac{1}{200}2001​ of the wall area, with a thin film of tetracontane (C40{\mathrm{C}}_{40}C40​H82{\mathrm{H}}_{82}H82​). The variation of relaxation time with buffer gas pressure was studied in this cell and in an unlined glass cell. From the observations with the unlined cell, diffusion coefficients for rubidium in neon and argon of 0.31 cm2{\mathrm{cm}}^{2}cm2/sec and 0.24 cm2{\mathrm{cm}}^{2}cm2/sec, respectively, can be deduced. Observed cross sections for disorientation collisions between aligned ground-state rubidium atoms and neon, argon, krypton, and xenon atoms are 5.2\ifmmode\times\else\texttimes\fi{}${10}^{\ensuremath{-}23}$ cm2{\mathrm{cm}}^{2}cm2, 3.7\ifmmode\times\else\texttimes\fi{}${10}^{\ensuremath{-}22}$ cm2{\mathrm{cm}}^{2}cm2, 5.9\ifmmode\times\else\texttimes\fi{}${10}^{\ensuremath{-}21}$ cm2{\mathrm{cm}}^{2}cm2, and 1.3\ifmmode\times\else\texttimes\fi{}${10}^{\ensuremath{-}20}$ cm2{\mathrm{cm}}^{2}cm2, respectively. In the evacuated tetracontane-lined cell, the relaxation time decreased by 30% for a tenfold increase in rubidium vapor pressure. An explanation for this relatively weak dependence is suggested. The longest observed relaxation time was approximately 0.4 seconds in a tetracontanelined cell filled with neon to a pressure of 3 cm Hg.
Alkali-metal vapors of rubidium and cesium have been optically pumped, with the D2 component of the resonance radiation and the reversal of the ground-state polarization observed as a function of buffer-gas pressure.It is well known that when complete mixing occurs in the 2p3/2 state, the polarization achieved in the grolfnd state (ZS1jz) is opposite to that obtained with the D 1 component of the resonance radiation when circularly polarized light is used.However, in the absence of mixing in the 2 P3/2 state, the sign of the polarization is the same for both D 1 and Dz light.For some finite degree of mixing of the 2p3/2 state, the equilibrium electronic polarization vanishes.From the null points observed in the Dz pumping signal vs buffer-gas -pressure curve, we have determined relative cross sections for collisional.disorientation of the 2 P3/2 state of a polarized Rb orCs atom.For Rb85 we fmd a 3 ; 2 (He) = 0.44 ± 15%, a 3 ,; (Ne) = 0.45 ± 15o/o, a 3 ; 2 (Kr) = 1.26 ± l5o/o, and a 3 ; 2 (Xe) = 1.46 ± J5o/o:; for Rb87 we find &3j 2 (He) = 0.47 ± 15o/o, a3/2(Ne) = 0.46 ± l5o/o, a3/ 2 (Kr) = 1.32 ± 15o/o, and a3/2 (Xe) = 1.46 ± 15%."For C s, a 3{ 2 (He) = Oo38 ± 15o/o, a3/2 (N e) = 0.42 ± 15 o/o, a3j2(Kr) = L22 ± 15o/o, and a 3 ;2(Xe = 1.45 ± 15o/o.All cross sections are relative to a3/2(Ar)o -• ••• -1-UCRL-17175