Pure hyperfine spectra of KRb in its vibronic ground state: Towards the determination of nuclear spin-spin interaction

doi:10.1088/1674-1056/adbdc1

中国物理B ›› 2025, Vol. 34 ›› Issue (5): 53302-053302.doi: 10.1088/1674-1056/adbdc1

Pure hyperfine spectra of KRb in its vibronic ground state: Towards the determination of nuclear spin-spin interaction

Qi Ouyang(欧阳琪), Xu-Ping Shao(邵旭萍)†, Yun-Xia Huang(黄云霞), and Xiao-Hua Yang(杨晓华)‡

School of Physical Science and Technology, Nantong University, Nantong 226019, China

收稿日期:2025-01-16 修回日期:2025-02-23 接受日期:2025-03-07 出版日期:2025-05-15 发布日期:2025-05-06
通讯作者: Xu-Ping Shao, Xiao-Hua Yang E-mail:xuping1115@ntu.edu.cn;xhyang@ntu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 12004199).

Pure hyperfine spectra of KRb in its vibronic ground state: Towards the determination of nuclear spin-spin interaction

Qi Ouyang(欧阳琪), Xu-Ping Shao(邵旭萍)†, Yun-Xia Huang(黄云霞), and Xiao-Hua Yang(杨晓华)‡

School of Physical Science and Technology, Nantong University, Nantong 226019, China

Received:2025-01-16 Revised:2025-02-23 Accepted:2025-03-07 Online:2025-05-15 Published:2025-05-06
Contact: Xu-Ping Shao, Xiao-Hua Yang E-mail:xuping1115@ntu.edu.cn;xhyang@ntu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 12004199).

摘要/Abstract

摘要： The Zeeman-hyperfine-rotational spectra of $^{40}$K$^{87}$Rb within its vibronic ground state at a magnetic field of 545.9 G are investigated by adopting the latest molecular constants available, and the results are in good agreement with the experimental observation made by Ospelkaus et al. [Phys. Rev. Lett. 104 030402 (2010)]. However, the calculated spectra generally shift by $-3.6 $ kHz from the experimental ones, which implies the inaccuracy of the effective rotational constant. Therefore, we refit the spectra and obtain a new $B_{\rm eff} = 1113952(1) $ kHz, which reduces the overall root-mean-square deviation from 10.8 kHz to 7.9 kHz. Furthermore, the pure hyperfine spectra within the $J = 0$ and 1 rotational states are simulated. We find that the scalar nuclear spin-spin interaction dominates the hyperfine splitting of $J = 0$ despite it being slightly indirectly affected by the nuclear electric quadruple interaction due to the rotational perturbation, while the nuclear electric quadrupole interactions dominate the splitting, and the scalar and tensor nuclear spin-spin interactions also affect the splitting of $J = 1$. The detailed hyperfine-rotational perturbations are studied. Therefore, the scalar and tensor nuclear spin-spin interaction constants can be precisely determined by simultaneously measuring the pure hyperfine radio-frequency spectra of the $J = 0$ and 1 states in the vibronic ground state.

关键词: pure hyperfine spectrum, transition dipole moment, $^{40}$K$^{87}$Rb

Abstract: The Zeeman-hyperfine-rotational spectra of $^{40}$K$^{87}$Rb within its vibronic ground state at a magnetic field of 545.9 G are investigated by adopting the latest molecular constants available, and the results are in good agreement with the experimental observation made by Ospelkaus et al. [Phys. Rev. Lett. 104 030402 (2010)]. However, the calculated spectra generally shift by $-3.6 $ kHz from the experimental ones, which implies the inaccuracy of the effective rotational constant. Therefore, we refit the spectra and obtain a new $B_{\rm eff} = 1113952(1) $ kHz, which reduces the overall root-mean-square deviation from 10.8 kHz to 7.9 kHz. Furthermore, the pure hyperfine spectra within the $J = 0$ and 1 rotational states are simulated. We find that the scalar nuclear spin-spin interaction dominates the hyperfine splitting of $J = 0$ despite it being slightly indirectly affected by the nuclear electric quadruple interaction due to the rotational perturbation, while the nuclear electric quadrupole interactions dominate the splitting, and the scalar and tensor nuclear spin-spin interactions also affect the splitting of $J = 1$. The detailed hyperfine-rotational perturbations are studied. Therefore, the scalar and tensor nuclear spin-spin interaction constants can be precisely determined by simultaneously measuring the pure hyperfine radio-frequency spectra of the $J = 0$ and 1 states in the vibronic ground state.

Key words: pure hyperfine spectrum, transition dipole moment, $^{40}$K$^{87}$Rb

中图分类号: (Radio-frequency and microwave spectra)

33.20.Bx

33.70.Ca (Oscillator and band strengths, lifetimes, transition moments, and Franck-Condon factors) 33.25.+k (Nuclear resonance and relaxation) 33.15.Pw (Fine and hyperfine structure)

Qi Ouyang(欧阳琪), Xu-Ping Shao(邵旭萍), Yun-Xia Huang(黄云霞), and Xiao-Hua Yang(杨晓华). Pure hyperfine spectra of KRb in its vibronic ground state: Towards the determination of nuclear spin-spin interaction[J]. 中国物理B, 2025, 34(5): 53302-053302.

参考文献

[1] Hughes M, Frye M D, Sawant R, Bhole G, Jones J A, Cornish S L, Tarbutt M R, Hutson J M, Jaksch D and Mur-Petit J 2020 Phys. Rev. A 101 062308
[2] DeMille D 2002 Phys. Rev. Lett. 88 067901
[3] Yelin S F, Kirby K and Côté R 2006 Phys. Rev. A 74 050301
[4] McDonald M, McGuyer B H, Apfelbeck F, Lee C H, Majewska I, Moszynski R and Zelevinsky T 2016 Nature 535 122
[5] Hudson E R, Lewandowski H J, Sawyer B C and Ye J 2006 Phys. Rev. Lett. 96 143004
[6] DeMille D, Doyle J M and Sushkov A O 2017 Science 357 990
[7] Shuman E S, Barry J F and Demille D 2010 Nature 467 820
[8] Ding S Q, Wu Y W, Finneran I A, Burau J J and Ye J 2020 Phys. Rev. X 10 021049
[9] Zhelyazkova V, Cournol A,Wall T E, Matsushima A, Hudson J J, Hinds E A, Tarbutt M R and Sauer B E 2014 Phys. Rev. A 89 053416
[10] Zhang Y H, Zeng Z X, Liang Q, Bu W H and Yan B 2022 Phys. Rev. A 105 033307
[11] Ni K K, Ospelkaus S, de Miranda M H, Pe’er A, Neyenhuis B, Zirbel J J, Kotochigova S, Julienne P S, Jin D S and Ye J 2008 Science 322 231
[12] Molony P K, Gregory P D, Ji Z H, Lu B, Köppinger M P, Le Sueur C R, Blackley C L, Hutson J M and Cornish S L 2014 Phys. Rev. Lett. 113 255301
[13] Guo M, Zhu B, Lu B, Ye X, Wang F, Vexiau R, Bouloufa-Maafa N, Quemener G, Dulieu O and Wang D 2016 Phys. Rev. Lett. 116 205303
[14] LiuW,Wu J, Ma J, Li P, Sovkov V B, Xiao L and Jia S 2016 Phys. Rev. A 94 032518
[15] Wu J, Liu W, Wang X, Ma J, Li D, Sovkov V B, Xiao L and Jia S 2018 J. Chem. Phys. 148 174304
[16] Yang H, Zhang D C, Liu L, Liu Y X, Nan J, Zhao B and Pan J W 2019 Science 363 261
[17] De Marco L, Valtolina G, Matsuda K, Tobias W G, Covey J P and Ye J 2019 Science 363 853
[18] Duda M, Chen X Y, Schindewolf A, Bause R, von Milczewski J, Schmidt R, Bloch I and Luo X Y 2023 Nat. Phys. 19 720
[19] Bigagli N, Yuan W J, Zhang S W, Bulatovic B, Karman T, Stevenson I and Will S 2024 Nature 631 289
[20] Hudson J J, Kara D M, Smallman I J, Sauer B E, TarbuttMR and Hinds E A 2011 Nature 473 493
[21] Tarbutt M R, Sauer B E, Hudson J J and Hinds E A 2013 New J. Phys. 15 053034
[22] Parker R H, Yu C H, Zhong W C, Estey B and Müller H 2018 Science 360 191
[23] Turro N J 1983 Proc. Natl. Acad. Sci. USA 80 609
[24] Aldegunde J, Rivington B A, Żuchowski P S and Hutson J M 2008 Phys. Rev. A 78 033434
[25] Aldegunde J, Ran H and Hutson J M 2009 Phys. Rev. A 80 043410
[26] Ran H, Aldegunde J and Hutson J M 2010 New J. Phys. 12 043015
[27] Ospelkaus S, Ni K K, Quéméner G, Neyenhuis B,Wang D, de Miranda M H, Bohn J L, Ye J and Jin D S 2010 Phys. Rev. Lett. 104 030402
[28] Wang D F, Shao X P, Huang Y X, Li C L and Yang X H 2021 Chin. Phys. B 30 113301
[29] Ouyang Q, Chen R, Shao X P, Huang Y X and Yang X H 2025 Int. J. Mod. Phys. B
[30] Chen R, Shao X P, Huang Y X and Yang X H 2023 Acta Phys. Sin. 72 043301 (in Chinese)

Pure hyperfine spectra of KRb in its vibronic ground state: Towards the determination of nuclear spin-spin interaction

Pure hyperfine spectra of KRb in its vibronic ground state: Towards the determination of nuclear spin-spin interaction

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