Hyperfine coupling constants of the cesium 7D<sub>5/2</sub> state measured up to the octupole term

Bubai Rahaman; Sourav Dutta

doi:10.1364/OL.469086

Optics Letters
Vol. 47,
Issue 18,
pp. 4612-4615
(2022)
•https://doi.org/10.1364/OL.469086

Hyperfine coupling constants of the cesium 7D_5/2 state measured up to the octupole term

Bubai Rahaman and Sourav Dutta

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Bubai Rahaman and Sourav Dutta, "Hyperfine coupling constants of the cesium 7D_5/2 state measured up to the octupole term," Opt. Lett. 47, 4612-4615 (2022)

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Abstract

We report the measurement of hyperfine splitting (HFS) in the 7D_5/2 state of ¹³³Cs using high-resolution Doppler-free two-photon spectroscopy enabled by precise frequency scans using an acousto-optic modulator (AOM). All six hyperfine levels are resolved in our spectra. We determine the hyperfine coupling constants A = –1.70867(62) MHz and B = 0.050(14) MHz which represent an over 20-times improvement in the precision of both A and B. Moreover, our measurement is sufficiently precise to put bounds on the value of the magnetic octupole coupling constant C = 0.4(1.4) kHz for the 7D_5/2 state. We additionally report the measurement of the ac Stark shift [–46 ± 4 Hz/(W/cm²)], collisional shift, and pressure broadening which are important for optical frequency standards based on the 6S_1/2 → 7D_5/2 two-photon transition.

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Supplementary Material (1)

Name	Description
Supplement 1	Supplement 1: contains plots of HFS measured at different laser powers and notes on global fitting of hyperfine coupling constants

Data availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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HFS	This Work 6S_1/2 F = 3	This Work 6S_1/2 F = 4	Ref. [12]^a	Ref. [13]	Ref. [14]^b
1–2	3.320		3.38
	(0.007)		(0.15)
2–3	5.152	5.134	5.09	5.90	5.82
	(0.015)	(0.029)	(0.17)	(0.25)	(0.25)
3–4	6.834	6.849	6.83	7.46	7.40
	(0.009)	(0.007)	(0.13)	(0.25)	(0.25)
4–5	8.508	8.542	8.59	9.04	9.01
	(0.008)	(0.007)	(0.08)	(0.35)	(0.25)
5–6		10.225	10.39	10.39	10.20
		(0.009)	(0.28)	(0.35)	(0.25)

	This Work	Ref. [12]	Ref. [13]	Ref. [14]	Ref. [11] Theory
A	–1.70867	–1.717	–1.81	–1.79	–1.42
(in MHz)	(0.00062)	(0.015)	(0.05)	(0.05)
B	0.050	–0.18	1.01	1.05	—
(in MHz)	(0.014)	(0.52)	(1.06)	(0.29)
C	0.4	—	—	—	—
(in kHz)	(1.4)

HFS	This Work 6S_1/2 F = 3	This Work 6S_1/2 F = 4	Ref. [12]^a	Ref. [13]	Ref. [14]^b
1–2	3.320		3.38
	(0.007)		(0.15)
2–3	5.152	5.134	5.09	5.90	5.82
	(0.015)	(0.029)	(0.17)	(0.25)	(0.25)
3–4	6.834	6.849	6.83	7.46	7.40
	(0.009)	(0.007)	(0.13)	(0.25)	(0.25)
4–5	8.508	8.542	8.59	9.04	9.01
	(0.008)	(0.007)	(0.08)	(0.35)	(0.25)
5–6		10.225	10.39	10.39	10.20
		(0.009)	(0.28)	(0.35)	(0.25)

	This Work	Ref. [12]	Ref. [13]	Ref. [14]	Ref. [11] Theory
A	–1.70867	–1.717	–1.81	–1.79	–1.42
(in MHz)	(0.00062)	(0.015)	(0.05)	(0.05)
B	0.050	–0.18	1.01	1.05	—
(in MHz)	(0.014)	(0.52)	(1.06)	(0.29)
C	0.4	—	—	—	—
(in kHz)	(1.4)

Abstract

Supplementary Material (1)

Data availability

Cited By

Figures (5)

Tables (2)

Equations (1)

Optics Letters