Determining the lifetime of the 5s5p3P0o metastable state in <mml:…
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Abstract
We report a measurement of the radiative lifetime of the 5s5p0. 25em{0ex}^3P₀^o metastable state in ^87Sr, which is coupled to the 5s^20. 25em{0ex}0. 2em{0ex}^1S₀ ground state via a hyperfine-induced electric dipole transition. The radiative lifetime is determined to be 151. 4 (48) s, in good agreement with theoretical results. Our approach relies on accurate measurements of laser intensity and free-space Rabi frequency, enabling lifetime measurements of any excited state and particularly suitable for long-lived states.
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>M</mml:mi><mml:mi>F</mml:mi></mml:msub></mml:math>-dependent hyperfine-induced <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mn>5</mml:mn><mml:mi>s</mml:mi><mml:mn>5</mml:mn><mml:mi>p</mml:mi></mml:mrow><mml:mspace width="4pt"/><mml:mrow><mml:mmultiscripts><mml:mi mathvariant="normal">P</mml:mi><mml:mn>0</mml:mn><mml:mi>o</mml:mi><mml:mprescripts/><mml:none/><mml:mn>3</mml:mn></mml:mmultiscripts><mml:mo>–</mml:mo><mml:mn>5</mml:mn><mml:msup><mml:mi>s</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow><mml:mspace width="4pt"/><mml:mmultiscripts><mml:mi mathvariant="normal">S</mml:mi><mml:mn>0</mml:mn><mml:none/><mml:mprescripts/><mml:none/><mml:mn>1</mml:mn></mml:mmultiscripts></mml:math> clock transition rates in an external magnetic field for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi mathvariant="normal">Sr</mml:mi><mml:mprescripts/><mml:none/><mml:mn>87</mml:mn></mml:mmultiscripts></mml:math>