Precise Measurement of Hyperfine Structure of Cesium 7<i>S</i><sub>1/2</sub> Excited State

oleh: Yunhui He, Jiabei Fan, Liping Hao, Yuechun Jiao, Jianming Zhao

Format: Article
Diterbitkan: MDPI AG 2020-01-01

Deskripsi

We present a precise measurement of the hyperfine structure of cesium <inline-formula> <math display="inline"> <semantics> <mrow> <mn>7</mn> <msub> <mi>S</mi> <mrow> <mn>1</mn> <mo>/</mo> <mn>2</mn> </mrow> </msub> </mrow> </semantics> </math> </inline-formula> excited state by employing electromagnetically induced spectroscopy (EIS) with a cesium three-level cascade (<inline-formula> <math display="inline"> <semantics> <mrow> <mn>6</mn> <msub> <mi>S</mi> <mrow> <mn>1</mn> <mo>/</mo> <mn>2</mn> </mrow> </msub> <mo>&#8722;</mo> <mn>6</mn> <msub> <mi>P</mi> <mrow> <mn>3</mn> <mo>/</mo> <mn>2</mn> </mrow> </msub> <mo>&#8722;</mo> <mn>7</mn> <msub> <mi>S</mi> <mrow> <mn>1</mn> <mo>/</mo> <mn>2</mn> </mrow> </msub> </mrow> </semantics> </math> </inline-formula>) atom in a room temperature vapor cell. A probe laser, <inline-formula> <math display="inline"> <semantics> <msub> <mi>&#955;</mi> <mi>p</mi> </msub> </semantics> </math> </inline-formula> = 852 nm, was coupled to a transition <inline-formula> <math display="inline"> <semantics> <mrow> <mrow> <mo>|</mo> <mn>6</mn> </mrow> <msub> <mi>S</mi> <mrow> <mn>1</mn> <mo>/</mo> <mn>2</mn> </mrow> </msub> <mrow> <mo>&#9002;</mo> <mo>&#8594;</mo> <mo>|</mo> <mn>6</mn> </mrow> <msub> <mi>P</mi> <mrow> <mn>3</mn> <mo>/</mo> <mn>2</mn> </mrow> </msub> <mrow> <mo>&#9002;</mo> </mrow> </mrow> </semantics> </math> </inline-formula>, related frequency locked to the resonance hyperfine transition of <inline-formula> <math display="inline"> <semantics> <mrow> <mrow> <mo>|</mo> <mn>6</mn> </mrow> <msub> <mi>S</mi> <mrow> <mn>1</mn> <mo>/</mo> <mn>2</mn> </mrow> </msub> <mrow> <mo>&#9002;</mo> <mo>&#8594;</mo> <mo>|</mo> <mn>6</mn> </mrow> <msub> <mi>P</mi> <mrow> <mn>3</mn> <mo>/</mo> <mn>2</mn> </mrow> </msub> <mrow> <mo>&#9002;</mo> </mrow> </mrow> </semantics> </math> </inline-formula> with a Fabry&#8722;Perot (FP) cavity and an electro-optic modulator (EOM). A coupling laser, <inline-formula> <math display="inline"> <semantics> <msub> <mi>&#955;</mi> <mi>c</mi> </msub> </semantics> </math> </inline-formula> = 1470 nm, drove the <inline-formula> <math display="inline"> <semantics> <mrow> <mrow> <mo>|</mo> <mn>6</mn> </mrow> <msub> <mi>P</mi> <mrow> <mn>3</mn> <mo>/</mo> <mn>2</mn> </mrow> </msub> <mrow> <mo>&#9002;</mo> <mo>&#8594;</mo> <mo>|</mo> <mn>7</mn> </mrow> <msub> <mi>S</mi> <mrow> <mn>1</mn> <mo>/</mo> <mn>2</mn> </mrow> </msub> <mrow> <mo>&#9002;</mo> </mrow> </mrow> </semantics> </math> </inline-formula> transition with the frequency scanned over the <inline-formula> <math display="inline"> <semantics> <mrow> <mrow> <mo>|</mo> <mn>6</mn> </mrow> <msub> <mi>P</mi> <mrow> <mn>3</mn> <mo>/</mo> <mn>2</mn> </mrow> </msub> <mrow> <mo>&#9002;</mo> <mo>&#8594;</mo> <mo>|</mo> <mn>7</mn> </mrow> <msub> <mi>S</mi> <mrow> <mn>1</mn> <mo>/</mo> <mn>2</mn> </mrow> </msub> <mrow> <mo>&#9002;</mo> </mrow> </mrow> </semantics> </math> </inline-formula> transition line. The hyperfine level interval was extracted to be 2183.61 &#177; 0.50 MHz by analyzing EIS spectroscopy. The optical&#8722;optical double-resonance (OODR) spectroscopy is also presented for comparison, with the corresponding value of the hyperfine level interval being 2183.48 MHz &#177; 0.04 MHz, and the measured hyperfine splitting of excited 7<inline-formula> <math display="inline"> <semantics> <msub> <mi>S</mi> <mrow> <mn>1</mn> <mo>/</mo> <mn>2</mn> </mrow> </msub> </semantics> </math> </inline-formula> state is shown to be in excellent agreement with the previous work.