Theoretical investigation of laser cooling for BD+cation by ab inito calculation

Li Ya-Chao; Meng Teng-Fei; Li Chuan-Liang; Qiu Xuan-Bing; He Xiao-Hu; Yang Wen; Guo Miao-Jun; Lai Yun-Zhong; Wei Ji-Lin; Zhao Yan-Ting

doi:10.7498/aps.66.163101

Abstract

Based on consistent basis set aug-cc-pV5Z, five low-lying potential energy curves and transition dipole moments X2∑+, A2Π, B2∑+, a4Π and b4∑+ of BD+ are calculated by using internally contracted multi-reference configuration interaction approach. According to the calculation results, ro-vibrational levels of theses electronic states are derived through solving the radial Schrödinger equation ro-vibrational equation, and then the molecular parameters, Franck-Condon factors (FCFs) and radiation life are obtained by fitting and calculations. The FCFs (f00=0.923) and radiation life for v"=0 (τ=235 ns) of A2Π-X2∑+ are suitable for achieving rapid laser cooling. Therefore, an optical-cycle for Doppler laser cooling scheme is proposed:the system includes the A2Π1/2(v'=0)-X2∑+(v"=0, 1), where the case of v'=0 contains 2 rotational levels, the cases of v"=0 and v"=1 contain 6 and 4 rotational levels, respectively. According to the proposal, we simulate the dynamic process of the molecular population in laser cooling. The BD+ can be decelerated from initial velocity of 100 m/s to 4.6 m/s (13 mK) after scattering 1150 photons during 5.4 ms.

Keywords:

Authors and contacts

1.
School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, China;
2.
State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, Taiyuan 030006, China

Corresponding author: Li Chuan-Liang, clli@tyust.edu.cn;guomiaojun85@sina.com ; Guo Miao-Jun, clli@tyust.edu.cn;guomiaojun85@sina.com ;

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11504256, U1610117, 61675120), the Open Fund of Key Laboratory of Time and Frequency Primary Standards and the Scientific, China, the State Key Laboratory of Precision Spectroscopy, China, Technological Innovation Programs of Higher Education Institutions in Shanxi, China (Grant No. 2015166), Jincheng's Programs for Science and Technology (Grant No. 1201501004-22), the OIT Program of Shanxi Province, China and the Project of Shanxi Scholarship Council of China (Grant No. 2016-096).

References

[1]	Chu S 1998 Rev. Mod. Phys. 70 685
[2]	Cohen-Tannoudji C N 1998 Rev. Mod. Phys. 70 707
[3]	Phillips W D 1998 Rev. Mod. Phys. 70 721
[4]	DeMille D 2002 Phys. Rev. Lett. 88 067901
[5]	Flambaum V V, Kozlov M G 2007 Phys. Rev. Lett. 99 150801
[6]	Pupillo G, Micheli A, Bchler H P, Zoller P 2009 Cold Molecules:Theory, Experiment, Applications (Boca Raton:CRC Press)
[7]	Krems R V 2008 Phys. Chem. Chem. Phys. 10 4079
[8]	Shuman E S, Barry J F, Glenn D R, DeMille D 2009 Phys. Rev. Lett. 103 223001
[9]	Shuman E S, Barry J F, DeMille D 2010 Nature 467 820
[10]	Hummon M T, Yeo M, Stuhl B K, Collopy A L, Xia Y, Ye J 2013 Phys. Rev. Lett. 110 143001
[11]	Yeo M, Hummon M T, Collopy A L, Yan B, Hemmerling B, Chae E, Doyle J M, Ye J 2015 Phys. Rev. Lett. 114 223003
[12]	Kobayashi J, Aikawa K, Oasa K, Inouye S 2014 Phys. Rev. A 89 021401
[13]	Zhelyazkova V, Cournol A, Wall T E, Matsushima A, Hudson J J, Hinds E A, Tarbutt M R, Sauer B E 2014 Phys. Rev. A 89 053416
[14]	Ji Z H, Zhang H S, Wu J Z, Yuan J P, Yang Y G, Zhao Y T, Ma J, Wang L R, Xiao L T, Jia S T 2012 Phys. Rev. A 85 013401
[15]	Isaev T A, Hoekstra S, Berger R 2010 Phys. Rev. A 82 052521
[16]	Wells N, Lane I C 2011 Phys. Chem. Chem. Phys. 13 19018
[17]	Lane I C 2012 Phys. Chem. Chem. Phys. 14 15078
[18]	Kang S Y, Gao Y F, Kuang F G, Gao T, Du J G, Jiang G 2015 Phys. Rev. A 91 042511
[19]	Yang R, Gao Y F, Tang B, Gao T 2015 Phys. Chem. Chem. Phys. 17 1900
[20]	You Y, Yang C L, Wang M S, Ma X G, Liu W W 2015 Phys. Rev. A 92 032502
[21]	You Y, Yang C L, Zhang Q Q, Wang M S, Ma X G, Liu W W 2016 Phys. Chem. Chem. Phys. 18 19838
[22]	Gao Y F, Gao T 2014 Phys. Rev. A 90 052506
[23]	Nguyen J H V, Viteri C R, Hohenstein E G, Sherrill C D, Brown K R, Odom B 2011 New J. Phys. 13 063023
[24]	Chin C, Jochim S, Bartenstein M, Altmeyer A, Hendl G, Riedl S, Denschlag J H, Grimm R 2004 International Quantum Electronics Conference. Optical Society of America:IMI3
[25]	Galván A P, Zhao Y, Orozco L A, Gómez E, Lange A D, Baumer F, Sprouse G D 2007 Phys. Lett. B 655 114
[26]	López-Urrutia J R C, Beiersdorfer P, Savin D W, Widmann K 1996 Phys. Rev. Lett. 77 826
[27]	Werner H J, Knowles P J, Knizia G, et al. 2012 Computat. Molec. Sci. 2 242
[28]	Le Roy R J 2007 LEVEL 80:A Computer Program for Solving the Radial Schrödinger Equation for Bound and Quasibound Levels (University of Waterloo Chemical Physics Research Report CP-663)
[29]	Zou W L, Liu W J 2005 J. Comput. Chem. 26 106
[30]	Vogelius I S, Madsen L B, Drewsen M 2004 Phys. Rev. A 70 053412
[31]	Ramsay D A, Sarre P J 1982 J. Chem. Soc. Faraday Trans. 2 781331
[32]	Klein R, Rosmus P, Werner H J 1982 J. Chem. Phys. 77 3559
[33]	Huber K P, Herzberg G 2013 Molecular Spectra and Molecular Structure:IV Constants of Diatomic Molecules (Springer Science & Business Media) pp90-91
[34]	Di Rosa M D 2004 Eur. Phys. J. D 31 395

Cited By

[1]	Chu S 1998 Rev. Mod. Phys. 70 685
[2]	Cohen-Tannoudji C N 1998 Rev. Mod. Phys. 70 707
[3]	Phillips W D 1998 Rev. Mod. Phys. 70 721
[4]	DeMille D 2002 Phys. Rev. Lett. 88 067901
[5]	Flambaum V V, Kozlov M G 2007 Phys. Rev. Lett. 99 150801
[6]	Pupillo G, Micheli A, Bchler H P, Zoller P 2009 Cold Molecules:Theory, Experiment, Applications (Boca Raton:CRC Press)
[7]	Krems R V 2008 Phys. Chem. Chem. Phys. 10 4079
[8]	Shuman E S, Barry J F, Glenn D R, DeMille D 2009 Phys. Rev. Lett. 103 223001
[9]	Shuman E S, Barry J F, DeMille D 2010 Nature 467 820
[10]	Hummon M T, Yeo M, Stuhl B K, Collopy A L, Xia Y, Ye J 2013 Phys. Rev. Lett. 110 143001
[11]	Yeo M, Hummon M T, Collopy A L, Yan B, Hemmerling B, Chae E, Doyle J M, Ye J 2015 Phys. Rev. Lett. 114 223003
[12]	Kobayashi J, Aikawa K, Oasa K, Inouye S 2014 Phys. Rev. A 89 021401
[13]	Zhelyazkova V, Cournol A, Wall T E, Matsushima A, Hudson J J, Hinds E A, Tarbutt M R, Sauer B E 2014 Phys. Rev. A 89 053416
[14]	Ji Z H, Zhang H S, Wu J Z, Yuan J P, Yang Y G, Zhao Y T, Ma J, Wang L R, Xiao L T, Jia S T 2012 Phys. Rev. A 85 013401
[15]	Isaev T A, Hoekstra S, Berger R 2010 Phys. Rev. A 82 052521
[16]	Wells N, Lane I C 2011 Phys. Chem. Chem. Phys. 13 19018
[17]	Lane I C 2012 Phys. Chem. Chem. Phys. 14 15078
[18]	Kang S Y, Gao Y F, Kuang F G, Gao T, Du J G, Jiang G 2015 Phys. Rev. A 91 042511
[19]	Yang R, Gao Y F, Tang B, Gao T 2015 Phys. Chem. Chem. Phys. 17 1900
[20]	You Y, Yang C L, Wang M S, Ma X G, Liu W W 2015 Phys. Rev. A 92 032502
[21]	You Y, Yang C L, Zhang Q Q, Wang M S, Ma X G, Liu W W 2016 Phys. Chem. Chem. Phys. 18 19838
[22]	Gao Y F, Gao T 2014 Phys. Rev. A 90 052506
[23]	Nguyen J H V, Viteri C R, Hohenstein E G, Sherrill C D, Brown K R, Odom B 2011 New J. Phys. 13 063023
[24]	Chin C, Jochim S, Bartenstein M, Altmeyer A, Hendl G, Riedl S, Denschlag J H, Grimm R 2004 International Quantum Electronics Conference. Optical Society of America:IMI3
[25]	Galván A P, Zhao Y, Orozco L A, Gómez E, Lange A D, Baumer F, Sprouse G D 2007 Phys. Lett. B 655 114
[26]	López-Urrutia J R C, Beiersdorfer P, Savin D W, Widmann K 1996 Phys. Rev. Lett. 77 826
[27]	Werner H J, Knowles P J, Knizia G, et al. 2012 Computat. Molec. Sci. 2 242
[28]	Le Roy R J 2007 LEVEL 80:A Computer Program for Solving the Radial Schrödinger Equation for Bound and Quasibound Levels (University of Waterloo Chemical Physics Research Report CP-663)
[29]	Zou W L, Liu W J 2005 J. Comput. Chem. 26 106
[30]	Vogelius I S, Madsen L B, Drewsen M 2004 Phys. Rev. A 70 053412
[31]	Ramsay D A, Sarre P J 1982 J. Chem. Soc. Faraday Trans. 2 781331
[32]	Klein R, Rosmus P, Werner H J 1982 J. Chem. Phys. 77 3559
[33]	Huber K P, Herzberg G 2013 Molecular Spectra and Molecular Structure:IV Constants of Diatomic Molecules (Springer Science & Business Media) pp90-91
[34]	Di Rosa M D 2004 Eur. Phys. J. D 31 395

Catalog

Vol. 66, Issue 16 - 2017-08-20

Metrics

Abstract views: 4379
PDF Downloads: 168
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板