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A stable high-intensity atomic beam source plays a key role in many precision measurements. The precision spectroscopy of slow metastable (
$2^3{\rm S}$ ) helium atoms is of great interest in testing quantum electrodynamics and determining the fine structure constant. By improving the source cavity structure and using laser cooling method, the beam flux is greatly enhanced. The added Zeeman slower reduces the longitudinal velocity of atoms, and at the same time increases the beam brightness of atoms at one single speed. Near the back end of Zeeman slower, a two-dimensional magneto-optical trap is added to collimate and focus the atomic beam. In addition, A beam stabilizing system is developed by using feedback control method. By changing the frequency of transverse cooling laser to change the cooling efficiency, the fluctuation of atomic beam intensity can be compensated in real time, and then the beam intensity can be stabilized at the target number. Experiments show that the continuous beam of metastable helium atoms at a velocity of$(100\pm 3.6)$ m/s has an intensity of$5.8\times10^{12}$ atoms/s/sr and a relative stability of 0.021%. In the experiment of precise spectral measurement based on atomic beam, the narrow longitudinal velocity distribution reduces the lateral Doppler broadening effect, and the lower longitudinal velocity also reasonably reduces the systematic error caused by the first-order Doppler effect. The atomic beam with such high intensity and stability in a single momentum and quantum state obviously improves the signal-to-noise ratio of the spectrum, and further reduces the statistical error of the results in the same detection time. Using this atomic beam, we demonstrated spectroscopy of the$2^3{\rm S}-2^3{\rm P}$ transition of$^4{\rm{He}}$ under the condition of only 0.1% of the saturated intensity. At this time, the full width at half maximum of the spectral peak is almost close to the natural line width, but the spectral signal-to-noise ratio is still better than 400 and the frequency shift caused by the detection laser power can be less than 1 kHz. This kind of spectral detection at low power can effectively reduce the power-dependent frequency shift, thus obtaining more reliable detection results. This metastable helium atom beam experimental system can also be used as a reference for similar precision measurement experiments.-
Keywords:
- helium /
- atomic beam /
- precision measurement /
- quantum electrodynamics
[1] Pachucki K, Yerokhin, V A 2015 J. Phys. Chem. Ref. Data 44 031206Google Scholar
[2] Salumbides E J, Koelemeij J C J, Komasa J, Pachucki K, Eikema K S E, Ubachs W 2013 Phys. Rev. D 87 112008Google Scholar
[3] Ficek F, Kimball D F J, Kozlov M G, Leefer N, Pustelny S, Budker D 2017 Phys. Rev. A 95 032505Google Scholar
[4] Pachucki K, Yerokhin V A 2010 Phys. Rev. Lett. 104 070403Google Scholar
[5] Drake G W F 2002 Can. J. Phys. 80 1195
[6] Pachucki K 2006 Phys. Rev. Lett. 97 013002Google Scholar
[7] Ottermann C R, Köbschall G, Maurer K, Röhrich K, Schmitt Ch, Walther V H 1985 Nucl. Phys. A 436 688Google Scholar
[8] Sick I 2015 J. Phys. Chem. Ref. Data 44 031213Google Scholar
[9] Yerokhin V A, Pachucki K 2016 Phys. Rev. A 94 052508Google Scholar
[10] Pahcucki K, Patkos V, Yerokhin V A 2017 Phys. Rev. A 95 062510Google Scholar
[11] Feng G P, Zheng X, Sun Y R, Hu S M 2015 Phys. Rev. A 91 030502Google Scholar
[12] Zheng X, Sun Y R, Chen J J, Jiang W, Pachucki K, Hu S M 2017 Phys. Rev. Lett. 119 263002Google Scholar
[13] Storry C H, Hessels E A 1998 Phys. Rev. A 58 R8Google Scholar
[14] George M C, Lombardi L D, Hessels E A 2001 Phys. Rev. Lett. 87 173002Google Scholar
[15] Minardi F, Bianchini G, Pastor P C, Giusfredi G, Pavone F S, Inguscio M 1999 Phys. Rev. Lett. 82 1112Google Scholar
[16] Castillega J, Livingston D, Sanders A, Shiner D 2000 Phys. Rev. Lett. 84 4321Google Scholar
[17] Pastor P C, Giusfredi G, Natale P D, Hagel G, Mauro C D, Inguscio M 2004 Phys. Rev. Lett. 92 023001Google Scholar
[18] Zelevinsky T, Farkas D, Gabrilse G 2005 Phys. Rev. Lett. 95 203001Google Scholar
[19] van Rooij R, Borbely J S, Simonet J, Hoogerland M D, Eikema K S E, Rozendaal R A, Vassen W 2011 Science 333 196Google Scholar
[20] Rengelink R J, van der Werf Y, Notermans R P M J W, Jannin R, Eikema K S E, Hoogerland M D, Vassen W 2018 Nat. Phys. 14 1132Google Scholar
[21] Zheng X, Sun Y R, Chen J J, Wen J L, Hu S M 2019 Phys. Rev. A 99 032506Google Scholar
[22] 冯高平, 孙羽, 郑昕, 胡水明 2014 物理学报 63 123201Google Scholar
Feng G P, Sun Y, Zheng X, Hu S M 2014 Acta Phys. Sin. 63 123201Google Scholar
[23] 孙羽, 冯高平, 程存峰, 涂乐义, 潘虎, 杨国民, 胡水明 2012 物理学报 61 170601Google Scholar
Sun Y, Feng G P, Cheng C F, Tu L Y, Pan H, Yang G M, Hu S M 2012 Acta Phys. Sin. 61 170601Google Scholar
[24] Labeyrie G, Browaeys A, Rooijakkers W, Voelker D, Grosperrin J, Wanner B, Westbrook C I, Aspect A 1999 Eur. Phys. J. D 7 341
[25] Hoogerland M D, Driessen J P J, Vredenbregt E J D, Megens H J L, Schuwer M P, Beijerinck H C W, Van Leeuwen K A K 1996 Appl. Phys. B 62 323
[26] Fahey D W, Parks W F, Schearer L D 1980 J. Phys. E: Sci. Instrum. 13 381Google Scholar
[27] Rothe E W, Neynaber R H, Trujillo S M 1965 J. Chem. Phys. 42 3310Google Scholar
[28] Cheng C F, Jiang W, Yang G M, Sun Y R, Pan H, Gao Y, Liu A W, Hu S M 2010 Rev. Sci. Instrum. 81 123106Google Scholar
[29] Rooijakkers W, Hogervorst W, Vassen W 1997 Opt. Commun. 135 149Google Scholar
[30] Rooijakkers W, Hogervorst W, Vassen W 1996 Opt. Commun. 135 321
[31] Swansson J A, Baldwin K G H, Hoogerland M D, Truscott A G, Buckman S J 2004 Appl. Phys. B 79 485Google Scholar
[32] Hodgman S S, Dall R G, Byron L J, Baldwin K G H, Buckman S J, Truscott A G 2009 Phys. Rev. Lett. 103 053002Google Scholar
[33] Yan Z C, Drake G W F 1994 Phys. Rev. A 50 R1980Google Scholar
[34] Minardi F, Artoni M, Cancio P, Inguscio M, Giusfredi G, Carusotto I 1999 Phys. Rev. A 60 4164Google Scholar
[35] Artoni M, Carusotto I, Minardi F 2000 Phys. Rev. A 62 023402Google Scholar
[36] Zheng X, Sun Y R, Chen J J, Jiang W, Pachucki K, Hu S M 2017 Phys. Rev. Lett. 118 063001Google Scholar
[37] Smiciklas M, Shiner D 2010 Phys. Rev. Lett. 105 123001Google Scholar
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图 1 氦原子
$2^3 {\rm S}—2^3 {\rm P}$ 跃迁频率测量实验装置示意图. 插图为$2^3 {\rm S}—2^3 {\rm P}$ 跃迁能级图. ECDL, 外腔式半导体激光器; EOM, 电光调制器; GPS, 全球定位系统; OFC, 光学频率梳; AOM, 声光调制器; BS, 分束棱镜; ULE, 超低膨胀系数标准具; FM, 幅度调制Figure 1. Schematic diagram of the experimental setup for measuring the
$2^3 {\rm S}-2^3 {\rm P}$ transition frequency of helium. Inset: Energy diagram of the$2 ^3 {\rm S}-2 ^3 {\rm P}$ transitions. ECDL, external cavity diode laser; EOM, electro-optical modulator; GPS, global positioning system; OFC, optical frequency comb; AOM, acoustic-optical modulator; BS, beam splitter; PZT, piezoelectric transducer; ULE, ultralow expansion; FM, amplitude modulation. -
[1] Pachucki K, Yerokhin, V A 2015 J. Phys. Chem. Ref. Data 44 031206Google Scholar
[2] Salumbides E J, Koelemeij J C J, Komasa J, Pachucki K, Eikema K S E, Ubachs W 2013 Phys. Rev. D 87 112008Google Scholar
[3] Ficek F, Kimball D F J, Kozlov M G, Leefer N, Pustelny S, Budker D 2017 Phys. Rev. A 95 032505Google Scholar
[4] Pachucki K, Yerokhin V A 2010 Phys. Rev. Lett. 104 070403Google Scholar
[5] Drake G W F 2002 Can. J. Phys. 80 1195
[6] Pachucki K 2006 Phys. Rev. Lett. 97 013002Google Scholar
[7] Ottermann C R, Köbschall G, Maurer K, Röhrich K, Schmitt Ch, Walther V H 1985 Nucl. Phys. A 436 688Google Scholar
[8] Sick I 2015 J. Phys. Chem. Ref. Data 44 031213Google Scholar
[9] Yerokhin V A, Pachucki K 2016 Phys. Rev. A 94 052508Google Scholar
[10] Pahcucki K, Patkos V, Yerokhin V A 2017 Phys. Rev. A 95 062510Google Scholar
[11] Feng G P, Zheng X, Sun Y R, Hu S M 2015 Phys. Rev. A 91 030502Google Scholar
[12] Zheng X, Sun Y R, Chen J J, Jiang W, Pachucki K, Hu S M 2017 Phys. Rev. Lett. 119 263002Google Scholar
[13] Storry C H, Hessels E A 1998 Phys. Rev. A 58 R8Google Scholar
[14] George M C, Lombardi L D, Hessels E A 2001 Phys. Rev. Lett. 87 173002Google Scholar
[15] Minardi F, Bianchini G, Pastor P C, Giusfredi G, Pavone F S, Inguscio M 1999 Phys. Rev. Lett. 82 1112Google Scholar
[16] Castillega J, Livingston D, Sanders A, Shiner D 2000 Phys. Rev. Lett. 84 4321Google Scholar
[17] Pastor P C, Giusfredi G, Natale P D, Hagel G, Mauro C D, Inguscio M 2004 Phys. Rev. Lett. 92 023001Google Scholar
[18] Zelevinsky T, Farkas D, Gabrilse G 2005 Phys. Rev. Lett. 95 203001Google Scholar
[19] van Rooij R, Borbely J S, Simonet J, Hoogerland M D, Eikema K S E, Rozendaal R A, Vassen W 2011 Science 333 196Google Scholar
[20] Rengelink R J, van der Werf Y, Notermans R P M J W, Jannin R, Eikema K S E, Hoogerland M D, Vassen W 2018 Nat. Phys. 14 1132Google Scholar
[21] Zheng X, Sun Y R, Chen J J, Wen J L, Hu S M 2019 Phys. Rev. A 99 032506Google Scholar
[22] 冯高平, 孙羽, 郑昕, 胡水明 2014 物理学报 63 123201Google Scholar
Feng G P, Sun Y, Zheng X, Hu S M 2014 Acta Phys. Sin. 63 123201Google Scholar
[23] 孙羽, 冯高平, 程存峰, 涂乐义, 潘虎, 杨国民, 胡水明 2012 物理学报 61 170601Google Scholar
Sun Y, Feng G P, Cheng C F, Tu L Y, Pan H, Yang G M, Hu S M 2012 Acta Phys. Sin. 61 170601Google Scholar
[24] Labeyrie G, Browaeys A, Rooijakkers W, Voelker D, Grosperrin J, Wanner B, Westbrook C I, Aspect A 1999 Eur. Phys. J. D 7 341
[25] Hoogerland M D, Driessen J P J, Vredenbregt E J D, Megens H J L, Schuwer M P, Beijerinck H C W, Van Leeuwen K A K 1996 Appl. Phys. B 62 323
[26] Fahey D W, Parks W F, Schearer L D 1980 J. Phys. E: Sci. Instrum. 13 381Google Scholar
[27] Rothe E W, Neynaber R H, Trujillo S M 1965 J. Chem. Phys. 42 3310Google Scholar
[28] Cheng C F, Jiang W, Yang G M, Sun Y R, Pan H, Gao Y, Liu A W, Hu S M 2010 Rev. Sci. Instrum. 81 123106Google Scholar
[29] Rooijakkers W, Hogervorst W, Vassen W 1997 Opt. Commun. 135 149Google Scholar
[30] Rooijakkers W, Hogervorst W, Vassen W 1996 Opt. Commun. 135 321
[31] Swansson J A, Baldwin K G H, Hoogerland M D, Truscott A G, Buckman S J 2004 Appl. Phys. B 79 485Google Scholar
[32] Hodgman S S, Dall R G, Byron L J, Baldwin K G H, Buckman S J, Truscott A G 2009 Phys. Rev. Lett. 103 053002Google Scholar
[33] Yan Z C, Drake G W F 1994 Phys. Rev. A 50 R1980Google Scholar
[34] Minardi F, Artoni M, Cancio P, Inguscio M, Giusfredi G, Carusotto I 1999 Phys. Rev. A 60 4164Google Scholar
[35] Artoni M, Carusotto I, Minardi F 2000 Phys. Rev. A 62 023402Google Scholar
[36] Zheng X, Sun Y R, Chen J J, Jiang W, Pachucki K, Hu S M 2017 Phys. Rev. Lett. 118 063001Google Scholar
[37] Smiciklas M, Shiner D 2010 Phys. Rev. Lett. 105 123001Google Scholar
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