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Phase Modulation in Rydberg Dressed Multi-Wave Mixing processes.

Zhang Z, Zheng H, Yao X, Tian Y, Che J, Wang X, Zhu D, Zhang Y, Xiao M - Sci Rep (2015)

Bottom Line: The nonlinear dispersion property of hot rubidium atoms is modulated by the Rydberg-Rydberg interaction, which can result in a nonlinear phase shift of the relative phase between dark and bright states.Such Rydberg-induced nonlinear phase shift can be quantitatively estimated by the lineshape asymmetry in the enhancedand suppressed MWM processes, which can also demonstrate the cooperative atom-light interaction caused by Rydberg blockaded regime.Current study on phase shift is applicable to phase-sensitive detection and the study of strong Rydberg-Rydberg interaction.

View Article: PubMed Central - PubMed

Affiliation: Key Laboratory for Physical Electronics and Devices of the Ministry of Education &Shaanxi Key Lab of Information Photonic Technique, Xi'an Jiaotong University, Xi'an 710049, China.

ABSTRACT
We study the enhancement and suppression of different multi-waving mixing (MWM) processes in a Rydberg-EIT rubidium vapor system both theoretically and experimentally. The nonlinear dispersion property of hot rubidium atoms is modulated by the Rydberg-Rydberg interaction, which can result in a nonlinear phase shift of the relative phase between dark and bright states. Such Rydberg-induced nonlinear phase shift can be quantitatively estimated by the lineshape asymmetry in the enhancedand suppressed MWM processes, which can also demonstrate the cooperative atom-light interaction caused by Rydberg blockaded regime. Current study on phase shift is applicable to phase-sensitive detection and the study of strong Rydberg-Rydberg interaction.

No MeSH data available.


Related in: MedlinePlus

The change in Δ1 induced enhancement and suppression of FWM2 together with the SWM2 process by scanning Δ4 (a) without E2, and (b) with E2 coupling the transition between 5P3/2↔54D5/2, respectively, at atom density N0 = 1 × 1012 cm−3. (c) is the same to (b) except for N0 = 2.4 × 1012 cm−3. The profile (curve constituted of the baseline of each signal) in each panel is the FWM2 signal versus Δ1, which is broadened by the Doppler effect Δ1−Δ3 = k1v + k3v. (a1)(b1) and (c1) are the theoretical predictions corresponding to (a)(b) and (c), respectively. (a1) ΔΦ′ = −π/6. (b1) ΔΦ′ = −π/6, ΔΦ = ΔΦ1 + ΔΦ2 = −π/12. (c1) ΔΦ′ = −π/6, ΔΦ = ΔΦ1 + ΔΦ2 = −π/3. Δ2 = 0, Δ3 = 150 MHz. Ω1 = 2π × 54 MHz at 0.5 mW, Ω2 = 2π × 7.6 MHz at 200 mW, Ω4 = 2π × 116 MHz at 4 mW, Ω3 = 2π × 170 MHz at 5 mW, Ω3′ = 2π × 275 MHz at 13 mW.
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f3: The change in Δ1 induced enhancement and suppression of FWM2 together with the SWM2 process by scanning Δ4 (a) without E2, and (b) with E2 coupling the transition between 5P3/2↔54D5/2, respectively, at atom density N0 = 1 × 1012 cm−3. (c) is the same to (b) except for N0 = 2.4 × 1012 cm−3. The profile (curve constituted of the baseline of each signal) in each panel is the FWM2 signal versus Δ1, which is broadened by the Doppler effect Δ1−Δ3 = k1v + k3v. (a1)(b1) and (c1) are the theoretical predictions corresponding to (a)(b) and (c), respectively. (a1) ΔΦ′ = −π/6. (b1) ΔΦ′ = −π/6, ΔΦ = ΔΦ1 + ΔΦ2 = −π/12. (c1) ΔΦ′ = −π/6, ΔΦ = ΔΦ1 + ΔΦ2 = −π/3. Δ2 = 0, Δ3 = 150 MHz. Ω1 = 2π × 54 MHz at 0.5 mW, Ω2 = 2π × 7.6 MHz at 200 mW, Ω4 = 2π × 116 MHz at 4 mW, Ω3 = 2π × 170 MHz at 5 mW, Ω3′ = 2π × 275 MHz at 13 mW.

Mentions: Now, we try to pick out the phase shift induced by the Rydberg blockade. Figure 3 shows the enhanced and suppressed FWM2 coexisting with the SWM2 by scanning Δ4 at discrete Δ1. To be specific, Fig. 3(a) is the case with E2 beam blocked and shows the dressing effect of E4 on FWM2 versus Δ4 at different Δ1, which can be well simulated by Eq. (4) by setting ΔΦ′ = −π/6 at Δ3 = 150 MHz (see Fig. 3(a1)). As defined above, the dressing asymmetry factor AF in Fig. 3(a) is 0.19 at /Δ1/ = 80 MHz. The profile (curve constituted of the baseline of each signal) in Fig. 3(a) is the one-photon peak of FWM2 signal versus Δ1 (see the one-photon term γ1 in Eq. (4)) with E2 blocked, and the peak is broadened to be 200 MHz by the Doppler effect Δ1−Δ3 = k1v + k3v. Figures 3(b,c) are the ones with the dressing effect of E2 (coupling the transition between 5P3/2↔54D5/2) at different atomic densities, respectively. The profiles in Figs.3 (b) and (c) are the peaks of FWM2 signal together with SWM2 signal by scanning Δ1. However, the dressed FWM2 signal is restrained in a narrower range by the EIT configuration of /0〉↔/1〉↔/4〉. Compared with Fig.3(a), AF values in Fig. 3(b,c) increase to be as high as 0.61 and 0.86 at /Δ1/ = 80 MHz due to the introducing of Rydberg field. The difference between the asymmetry factors on the profiles can be explained by the nonlinear phase shift caused by E2 dressing effect and the cooperative atom-light interaction27. Since both Fig. 3(b,c) are related to the same Rydberg state 54D5/2, the phase shift induced by the change of cooperative nonlinearity due to Rydberg-Rydberg interaction can be observed by comparing the modulated results of N0 = 1 × 1012 cm−3 and N0 = 2.4 × 1012 cm−3. The introducing of correlations between atoms into atom-light interaction can lead to a cooperative effect. The increase of Rydberg atom population will increase the cooperative nonlinearity and result in a dramatically change of the measured lineshapes.


Phase Modulation in Rydberg Dressed Multi-Wave Mixing processes.

Zhang Z, Zheng H, Yao X, Tian Y, Che J, Wang X, Zhu D, Zhang Y, Xiao M - Sci Rep (2015)

The change in Δ1 induced enhancement and suppression of FWM2 together with the SWM2 process by scanning Δ4 (a) without E2, and (b) with E2 coupling the transition between 5P3/2↔54D5/2, respectively, at atom density N0 = 1 × 1012 cm−3. (c) is the same to (b) except for N0 = 2.4 × 1012 cm−3. The profile (curve constituted of the baseline of each signal) in each panel is the FWM2 signal versus Δ1, which is broadened by the Doppler effect Δ1−Δ3 = k1v + k3v. (a1)(b1) and (c1) are the theoretical predictions corresponding to (a)(b) and (c), respectively. (a1) ΔΦ′ = −π/6. (b1) ΔΦ′ = −π/6, ΔΦ = ΔΦ1 + ΔΦ2 = −π/12. (c1) ΔΦ′ = −π/6, ΔΦ = ΔΦ1 + ΔΦ2 = −π/3. Δ2 = 0, Δ3 = 150 MHz. Ω1 = 2π × 54 MHz at 0.5 mW, Ω2 = 2π × 7.6 MHz at 200 mW, Ω4 = 2π × 116 MHz at 4 mW, Ω3 = 2π × 170 MHz at 5 mW, Ω3′ = 2π × 275 MHz at 13 mW.
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f3: The change in Δ1 induced enhancement and suppression of FWM2 together with the SWM2 process by scanning Δ4 (a) without E2, and (b) with E2 coupling the transition between 5P3/2↔54D5/2, respectively, at atom density N0 = 1 × 1012 cm−3. (c) is the same to (b) except for N0 = 2.4 × 1012 cm−3. The profile (curve constituted of the baseline of each signal) in each panel is the FWM2 signal versus Δ1, which is broadened by the Doppler effect Δ1−Δ3 = k1v + k3v. (a1)(b1) and (c1) are the theoretical predictions corresponding to (a)(b) and (c), respectively. (a1) ΔΦ′ = −π/6. (b1) ΔΦ′ = −π/6, ΔΦ = ΔΦ1 + ΔΦ2 = −π/12. (c1) ΔΦ′ = −π/6, ΔΦ = ΔΦ1 + ΔΦ2 = −π/3. Δ2 = 0, Δ3 = 150 MHz. Ω1 = 2π × 54 MHz at 0.5 mW, Ω2 = 2π × 7.6 MHz at 200 mW, Ω4 = 2π × 116 MHz at 4 mW, Ω3 = 2π × 170 MHz at 5 mW, Ω3′ = 2π × 275 MHz at 13 mW.
Mentions: Now, we try to pick out the phase shift induced by the Rydberg blockade. Figure 3 shows the enhanced and suppressed FWM2 coexisting with the SWM2 by scanning Δ4 at discrete Δ1. To be specific, Fig. 3(a) is the case with E2 beam blocked and shows the dressing effect of E4 on FWM2 versus Δ4 at different Δ1, which can be well simulated by Eq. (4) by setting ΔΦ′ = −π/6 at Δ3 = 150 MHz (see Fig. 3(a1)). As defined above, the dressing asymmetry factor AF in Fig. 3(a) is 0.19 at /Δ1/ = 80 MHz. The profile (curve constituted of the baseline of each signal) in Fig. 3(a) is the one-photon peak of FWM2 signal versus Δ1 (see the one-photon term γ1 in Eq. (4)) with E2 blocked, and the peak is broadened to be 200 MHz by the Doppler effect Δ1−Δ3 = k1v + k3v. Figures 3(b,c) are the ones with the dressing effect of E2 (coupling the transition between 5P3/2↔54D5/2) at different atomic densities, respectively. The profiles in Figs.3 (b) and (c) are the peaks of FWM2 signal together with SWM2 signal by scanning Δ1. However, the dressed FWM2 signal is restrained in a narrower range by the EIT configuration of /0〉↔/1〉↔/4〉. Compared with Fig.3(a), AF values in Fig. 3(b,c) increase to be as high as 0.61 and 0.86 at /Δ1/ = 80 MHz due to the introducing of Rydberg field. The difference between the asymmetry factors on the profiles can be explained by the nonlinear phase shift caused by E2 dressing effect and the cooperative atom-light interaction27. Since both Fig. 3(b,c) are related to the same Rydberg state 54D5/2, the phase shift induced by the change of cooperative nonlinearity due to Rydberg-Rydberg interaction can be observed by comparing the modulated results of N0 = 1 × 1012 cm−3 and N0 = 2.4 × 1012 cm−3. The introducing of correlations between atoms into atom-light interaction can lead to a cooperative effect. The increase of Rydberg atom population will increase the cooperative nonlinearity and result in a dramatically change of the measured lineshapes.

Bottom Line: The nonlinear dispersion property of hot rubidium atoms is modulated by the Rydberg-Rydberg interaction, which can result in a nonlinear phase shift of the relative phase between dark and bright states.Such Rydberg-induced nonlinear phase shift can be quantitatively estimated by the lineshape asymmetry in the enhancedand suppressed MWM processes, which can also demonstrate the cooperative atom-light interaction caused by Rydberg blockaded regime.Current study on phase shift is applicable to phase-sensitive detection and the study of strong Rydberg-Rydberg interaction.

View Article: PubMed Central - PubMed

Affiliation: Key Laboratory for Physical Electronics and Devices of the Ministry of Education &Shaanxi Key Lab of Information Photonic Technique, Xi'an Jiaotong University, Xi'an 710049, China.

ABSTRACT
We study the enhancement and suppression of different multi-waving mixing (MWM) processes in a Rydberg-EIT rubidium vapor system both theoretically and experimentally. The nonlinear dispersion property of hot rubidium atoms is modulated by the Rydberg-Rydberg interaction, which can result in a nonlinear phase shift of the relative phase between dark and bright states. Such Rydberg-induced nonlinear phase shift can be quantitatively estimated by the lineshape asymmetry in the enhancedand suppressed MWM processes, which can also demonstrate the cooperative atom-light interaction caused by Rydberg blockaded regime. Current study on phase shift is applicable to phase-sensitive detection and the study of strong Rydberg-Rydberg interaction.

No MeSH data available.


Related in: MedlinePlus