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Spin noise spectroscopy is a very sensitive undisturbed spectroscopic technique for measuring atomic spin fluctuations by using a far-detuned probe laser beam. In this paper, we describe an experimental setup for measuring the spin noise spectroscopy. The spin noise spectra of Rubidium atomic vapor cell filled with 10 Torr of Neon gas and 20 Torr of Helium gas as buffer gas are investigated in a magnetically shielded environment. The dependence of the spin noise power spectral density, separately, on the probe beam’s intensity (I ), the probe beam’s frequency detuning (Δ) and Rubidium atomic number density (n) are measured. The integrated power of Rubidium atomic spin noise spectra is scaled as
$ {I^2}$ . Owing to homogeneous broadening, the full width at half maximum of transmission spectrum of the same cell is broadened to$\Delta {\nu _t} = {\rm{6}}.{\rm{9}}\;{\rm{GH}}{\rm{z}}$ . Center frequency of transmission spectrum is set to be$\varDelta = {\rm{0}}$ . The probe beam’s frequency detuning is larger than the half width at half maximum of the transmission spectrum$\left| \varDelta \right| > {{\Delta {\nu _t}}}/{{\rm{2}}}$ , so the integrated power of Rubidium atomic spin noise spectra is scaled as$\varDelta^{-1}$ . And there is a dip for$|\varDelta| < {{\Delta {\nu _t}}}/{{\rm{2}}}$ as a result of collisions between the buffer gas and Rubidium atoms. The integrated power of Rubidium atomic spin noise spectra is scaled as$ \sqrt n $ . The Rubidium atomic spin's transverse relaxation time becomes shorter while the temperature increases. Only at the condition of non-perturbative probe, including far-off-resonant laser, weak laser intensity and uniform transverse magnetic field, the measured full width at half maximum will be close to the intrinsic linewidth of spin noise spectrum. In this way, we can obtain the Rubidium atomic spin's transverse relaxation time. This work can be applied to the field of physical constants precision measurement, like Lande g factor and isotopic abundance ratio. In addition, it provides an important reference for developing the high signal-to-noise ratio and compact spin noise spectrometer.-
Keywords:
- spin noise spectroscopy /
- atomic spin fluctuations /
- spin relaxation /
- rubidium atomic vapor /
- buffer gas
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Google Scholar
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Google Scholar
Guo Z C, Zhang T Y, Zhang J 2020 Acta Phys. Sin. 69 037201
Google Scholar
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Google Scholar
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Google Scholar
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Google Scholar
[24] James K 2013 Ph. D. Thesis (Durham: Durham University)
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图 1 铷原子系综自旋噪声谱的测量原理示意图
Figure 1. Schematic diagram of rubidium atomic ensemble spin noise spectroscopy measurement.
图 2 铷原子系综自旋噪声测量的实验装置示意图. λ/2, 1/2波片; APP, 整形棱镜对; ISO, 光隔离器; PBS, 偏振分光棱镜; NDF, 衰减片; M, 0°高反镜; λ/4, 1/4波片; PD, 光电探测器; HF, 45°高反镜; DPD, 差分探测器
Figure 2. Schematic diagram of experimental setup for measuring rubidium atomic ensemble's spin noise spectroscopy. λ/2, half-wave plate; APP, anamorphic prism pairs; ISO, optical isolator;, PBS, polarization beam splitter cube; NDF, neutral density filter; M, 0° high-reflectivity mirror; λ/4, quarter-wave plate; PD, photodetector; HF, 45° high -reflectivity mirror; DPD, differential photodiode.
图 3 铷原子D1线饱和吸收光谱
Figure 3. Saturation absorption spectra of rubidium atomic D1 line.
图 4 典型的热平衡状态下铷原子自旋噪声谱
Figure 4. Spin noise spectra of rubidium atoms in a thermal equilibrium state.
图 5 (a) 不同探测光光强下的铷原子自旋噪声谱; (b)自旋噪声谱信号幅度与探测光光强的关系,
$S = \kappa \times {I^2}$ 拟合数据Figure 5. (a) Rubidium spin noise spectra at different probe optical instensity; (b) relationship between spin noise spectrum signal amplitude and probe optical intensity, with the data fitted by
$S = \kappa \times {I^2}$ .
图 6 (a) 铷原子D1线的透射谱; (b)积分后的85Rb自旋噪声信号随探测光频率变化. 黑色方块为实验数据, 根据(3)式拟合得到红色曲线
Figure 6. (a) Transmission spectra of rubidium atomic D1 line; (b) 85Rb spin noise signal intensity (integrated) varies with probe light frequency in a naturally isotopic abundant rubidium atomic ensemble containing 10 Torr neon gas and 20 Torr helium gas. The black squares are experimental data and the red curve is fitted by Eq. (3), respectively.
图 7 (a)不同温度(25−65 ℃)下85Rb原子的自旋噪声谱; (b)不同原子数密度下的自旋噪声信号
Figure 7. (a) Spin noise spectrum of 85Rb at some different temperatures (25−65 ℃); (b) the spin noise signal amplitude versus atomic number densities.
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[1] White D R, Galleano R, Actis A, et al. 1996 Metrologia 33 325
Google Scholar
[2] Bloch F 1946 Phys. Rev. 70 460
Google Scholar
[3] Aleksandrov E B, Zapasskii V S 1981 Sov. Phys. JETP 54 64
[4] Sleater T, Hahn E L, Hilbert C, Clarke J 1985 Phys. Rev. Lett. 55 1742
Google Scholar
[5] Crooker S A, Rickel D G, Balatsky A V, Smith D L 2004 Nature 431 49
Google Scholar
[6] Jian M, Ping S, Xuan Q, Wei L, Yang J 2016 Chin. Phys. B 25 117203
Google Scholar
[7] Jian M, Ping S, Xuan Q, Yaxuan S, Yang J 2017 Sci. Rep. 7 10238
Google Scholar
[8] 史平, 马健, 钱轩, 姬扬, 李伟 2017 物理学报 66 017201
Google Scholar
Shi P, Ma J, Qian X, Ji Y, Li W 2017 Acta Phys. Sin. 66 017201
Google Scholar
[9] Yuan J T, Ya W, Ling C, Kai F Z 2020 Phys. Rev. A 101 013821
Google Scholar
[10] Römer M, Hübner J, Oestreich M 2007 Rev. Sci. Instrum. 78 103903
Google Scholar
[11] Cronenberger S, Scalbert D 2016 Rev. Sci. Instrum. 87 093111
Google Scholar
[12] Lucivero V G, Jimenez-Martinez R, Kong J, Mitchell M W 2016 Phys. Rev. A 93 053802
Google Scholar
[13] Lucivero V G, Dimic A, Kong J, Jiménez-Martínez R, Mitchell M W 2017 Phys. Rev. A 95 041803
Google Scholar
[14] Hübner J, Berski F, Dahbashi R, Oestreich M 2014 Phys. Status Solidi B 251 1824
Google Scholar
[15] Pershin Y V, Slipko V A, Roy D, Sinitsyn N A 2013 Appl. Phys. Lett. 102 202405
Google Scholar
[16] Dahbashi R, Hübner J, Berski F, Pierz K, Oestreich M 2014 Phys. Rev. Lett. 112 156601
Google Scholar
[17] Yang L, Glasenapp P, Greilich A, et al. 2014 Nat. Commun. 5 4949
Google Scholar
[18] Zapasskii V S 2013 Adv. Opt. Photonics 5 131
Google Scholar
[19] 李晨, 丁畅, 张桐耀, 曹丹华, 吴裕斌, 陈院森 2017 量子光学学报 23 228
Li C, Ding C, Zhang T Y, Cao D H, Wu Y B, Chen Y S 2017 J. Quant. Opt. 23 228
[20] 郭志超, 张桐耀, 张靖 2020 物理学报 69 037201
Google Scholar
Guo Z C, Zhang T Y, Zhang J 2020 Acta Phys. Sin. 69 037201
Google Scholar
[21] Yashchuk V V, Budker D, Davis J R 2000 Rev. Sci. Instrum. 71 341
Google Scholar
[22] Zapasskii V S, Greilich A, Crooker S A, et al. 2013 Phys. Rev. Lett. 110 176601
Google Scholar
[23] Ke Z, Nan Z, Yan H W 2020 Sci. Rep. 10 2258
Google Scholar
[24] James K 2013 Ph. D. Thesis (Durham: Durham University)
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