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Journal of Physics B Atomic Molecular and Optical Physics

Atomic coherence changes caused by optical pumping applied to electromagnetically induced absorption

Han Seb Moon, S K Kim, K Kim, C H Lee, J. B. Kim

Published Aug 26, 2003• 10 citations
Publisher

Abstract

We have investigated atomic coherence changes caused by optical pumping applied to electromagnetically induced absorption (EIA) occurring at the open system, which consists of the transition between the F g = 2 ground state and the F e = 3 excited state in the 85 Rb D1-line. For optical pumping, another laser resonantly tuned to the transition between the F g = 3 ground state and the F e = 2 excited state was used. We found that the atomic coherence for EIA can be changed not by increasing the pumping rate but by pumping differently populations into the Zeeman sublevels in the F g = 2 ground state, which is realized by changing the polarization of the pumping laser. The experimental results were able to be analysed by density matrix equations in the simple model system.

DOI
10.1088/0953-4075/36/18/302

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$^85Rb\;D_1$ 전이선의 바닥준위 $F_g$ =2에서 여기준위 $F_e$ =3 전이를 이용하여 열린 원자계에서의 전자기 유도 흡수 현상을 관측하고, 전자기 유도 흡수에서의 비결맞음 펌핑 효과를 조사했다. 비결맞음 광원의 편광과 세기의 변화에 따른 전자기 유도 흡수에 대한 연구를 통해 비결맞음 광원의 편광에 따라서 자기부준위들 사이의 원자밀도 분포의 변화를 유도할 수 있고, 이러한 원자밀도 재분포 효과에 의해서 전자기 유도 흡수의 정도가 달라짐을 확인하였다 We have studied the effects of incoherent pumping on EIA at the transition between the $F_g=2$ ground state and the $F_e=3$ excited state in $^{85}Rb\;D_1$ -line. Generally, the studies about EIA have been done in the cycling transition, where the population has no loss to other states. In the case of EIA by using the $^{85}Rb\;D_1$ transition line, the population is transferred to the other hyperfine state due to optical pumping. We incoherently pumped the atoms from $F_g=3\;to\;F_g=2$ with the pumping beam, which is resonant at the transition from $F_g=3\;to\;F_g=2$ . We were able to observe the effects of incoherent pumping depending on the power and the polarization of the pumping beam.

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Journal of Physics B Atomic Molecular and Optical Physics•Apr 17, 2015•12 citations
We have investigated atomic coherence changes caused by optical pumping applied to electromagnetically induced absorption (EIA) occurring at the open system, which consists of the transition between the F g = 2 ground state and the F e = 3 excited state in the 85 Rb D1-line. For optical pumping, another laser resonantly tuned to the transition between the F g = 3 ground state and the F e = 2 excited state was used. We found that the atomic coherence for EIA can be changed not by increasing the pumping rate but by pumping differently populations into the Zeeman sublevels in the F g = 2 ground state, which is realized by changing the polarization of the pumping laser. The experimental results were able to be analysed by density matrix equations in the simple model system.
We have observed a transformation from electromagnetically-induced absorption (EIA) to electromagnetically induced transparency (EIT) in open systems of the 85 Rb D 1 line by adding an incoherent optical pumping laser. This result raises a new question about recent theoretical work which does not address the degree of open. The pump beam only plays a role in transferring atoms by a spontaneous transition into the interacting system for EIT observation, which is an incoherent process. The dependence of the absorption spectra on the intensity and the polarization of each laser beam were observed. We have found the same tendencies in all transitions except the F = 2 ↔ F′ = 3 transition of the 85 Rb D 1 line, which is the system that almost satisfies conventional EIA conditions.
The absorption spectrum of a weak probe, interacting with a driven degenerate two-level atomic system, whose ground and excited hyperfine states are Fg,e,{\mathrm{F}}_{g,e},Fg,e​, can exhibit narrow peaks at line center. When the pump and probe polarizations are different, Fe=Fg+1{F}_{e}{=F}_{g}+1Fe​=Fg​+1 and Fg>0,{F}_{g}>0,Fg​>0, the electromagnetically induced absorption (EIA) peak has been shown to be due to the transfer of coherence (TOC) between the excited and ground states via spontaneous decay. We give a detailed explanation of why the TOC that leads to EIA (EIA-TOC) can only take place when ground-state population trapping does not occur, that is, when Fe=Fg+1.{F}_{e}{=F}_{g}+1.Fe​=Fg​+1. We also explain why EIA-TOC is observed in open systems. We show that EIA can also occur when the pump and probe polarizations are identical and Fe=Fg+1.{F}_{e}{=F}_{g}+1.Fe​=Fg​+1. This EIA is analogous to an effect that occurs in simple two-level systems when the collisional transfer of population (TOP) from the ground state to a reservoir is greater than that from the excited state. For a degenerate two-level system, the reservoir consists of the Zeeman sublevels of the ground hyperfine state, and of other nearby hyperfine states that do not interact with the pump. We will also discuss the four-wave mixing spectrum under the conditions where EIA-TOC and EIA-TOP occur.
We study phenomenon of electromagnetically induced absorption (EIA) in the Hanle configuration by applying a perturbative method to solve linear system of optical Bloch equations (OBEs) for the case of closed F g = 1 → F e = 2 transition. The method is applied assuming stationary case and a weak laser fields (Ω ≪ Γ, i.e., Rabi frequency small compared to spontaneous emission rate). This way, we calculate (both numerically and analytically) higher order corrections to density matrix. Odd corrections give contributions to optical coherences, while even corrections contribute to populations and Zeeman coherences. The method gives insight into mechanism of transfer of coherences and transfer of populations between Zeeman sublevels. We have found that the ground-state coherences (2nd correction to coherences) are crucial for the 4th correction to the change of populations which brings EIA type behavior of the Hanle spectrum. Using exact analytical expressions we further discuss further the role of decoherence of the ground-state sublevels when forming EIA.
A perturbation method was used to solve optical Bloch equations (OBEs) for the transition F g =1→ F e =2, in order to describe the role of ground-level Zeeman coherences in the formation of electromagnetically induced absorption (EIA). A narrow Lorentzian peak, centered at zero value of the scanning magnetic field, appears in the analytical expression of the second-order correction of a density-matrix element for ground-level Zeeman coherences, (ρ g −1 , g +1 ) x 2 . Through analytical expressions for lower-order corrections of density-matrix elements, we were able to establish clear relations between the narrow Lorentzian in (ρ g − 1 , g +1 ) x 2 and higher-order corrections of optical coherences, i.e. EIA. We see from analytical expressions that these two resonances have opposite signs and that EIA becomes electromagnetically induced transparency (EIT) in the limit of low efficiency of spontaneous transfer of coherences from excited-level to ground-level Zeeman sublevels. The transient behavior of EIA follows the time evolution of (ρ g − 1 , g +1 ) x 2 . After the coupling laser is turned on, both the Lorentzian peak in (ρ g − 1 , g +1 ) x 2 and EIA reach steady state via over-damped oscillations.
85Rb  D1^85Rb\;D_185RbD1​ 전이선의 바닥준위 FgF_gFg​ =2에서 여기준위 FeF_eFe​ =3 전이를 이용하여 열린 원자계에서의 전자기 유도 흡수 현상을 관측하고, 전자기 유도 흡수에서의 비결맞음 펌핑 효과를 조사했다. 비결맞음 광원의 편광과 세기의 변화에 따른 전자기 유도 흡수에 대한 연구를 통해 비결맞음 광원의 편광에 따라서 자기부준위들 사이의 원자밀도 분포의 변화를 유도할 수 있고, 이러한 원자밀도 재분포 효과에 의해서 전자기 유도 흡수의 정도가 달라짐을 확인하였다 We have studied the effects of incoherent pumping on EIA at the transition between the Fg=2F_g=2Fg​=2 ground state and the Fe=3F_e=3Fe​=3 excited state in 85Rb  D1^{85}Rb\;D_185RbD1​ -line. Generally, the studies about EIA have been done in the cycling transition, where the population has no loss to other states. In the case of EIA by using the 85Rb  D1^{85}Rb\;D_185RbD1​ transition line, the population is transferred to the other hyperfine state due to optical pumping. We incoherently pumped the atoms from Fg=3  to  Fg=2F_g=3\;to\;F_g=2Fg​=3toFg​=2 with the pumping beam, which is resonant at the transition from Fg=3  to  Fg=2F_g=3\;to\;F_g=2Fg​=3toFg​=2 . We were able to observe the effects of incoherent pumping depending on the power and the polarization of the pumping beam.
Abstract We present theoretical and experimental studies of electromagnetically induced absorption (EIA) for the transition of 85 Rb-D2 line. From the results calculated by solving time-dependent density-matrix equations including the optical and Zeeman coherences connected via three-photon interactions, the EIA signals have ultra-narrow feature in low powers of coupling beam in both same- and orthogonal-polarization configurations for both stationary and thermal atoms. However, the ultra-narrow EIA signals from high powers of coupling laser beam still remained in the ultra-narrow state only in the same-polarization configuration for thermal atoms. The calculated results match well with experimental results except ultra-narrow EIA region considering linewidths of two separate coupling and probe lasers.