Bulletin of the American Physical Society

A Precise Measurement of the Stark Shift in the 5$P_{1/2}\to$ 6$S_{1/2}$ 410nm Transition in Indium

Nathan Schine, Gambhir Ranjit, Anders Schneider, A. T. Lorenzo, Protik Majumder

Published Nov 9, 2012• 0 citations

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Bulletin of the American Physical Society

A Precise Measurement of the Stark Shift in the 5 $P_{1/2}\to$ 6 $S_{1/2}$ 410nm Transition in IndiumA Precise Measurement of the Stark Shift in the 5$P_{1/2}\to$ 6$S_{1/2}$ 410nm Transition in Indium

Nathan Schine, Gambhir Ranjit, Anders Schneider, A. T. Lorenzo, Protik Majumder

Published Nov 9, 2012• 0 citations

OpenAlex

Related papers

High-precision Stark shift measurements in excited states of indium using an atomic beam

P. K. Majumder, A.L. Carter, Benjamin L. Augenbraun +2 more

Bulletin of the American Physical SocietyJun 9, 20150 citations

Measurement of the Stark shift of the 6s 2 S1 /2 --> 7p 2 P J transitions in atomic cesium

George Toh, Dionysis Antypas, Daniel S. Elliott

APSMay 1, 20150 citations

Quadratic Stark Shift in the Ground State of Indium: a Measurement of the Tensor Polarizability.

Marshall A. Weissberger

Apr 1, 19760 citations

Measurement of the Stark-induced amplitudes of the 6 P1/2 →7 P1/2 transition in atomic thallium

David P. DeMille, Dmitry Budker, Eugene D. Commins

A measurement of the Stark-induced amplitudes \ensuremath{\alpha} and \ensuremath{\beta} for the 6 ${\mathit{P}}_{1/2}$ \ensuremath{\rightarrow}7 ${\mathit{P}}_{1/2}$ transition in atomic thallium is reported. Absorption of cw laser light tuned to this transition at 293 nm was compared to absorption of 378-nm cw laser light tuned to the allowed 6 ${\mathit{P}}_{1/2}$ \ensuremath{\rightarrow}7 ${\mathit{S}}_{1/2}$ transition. The absorption sample was an intense atomic beam in the presence of a strong electric field. The measured values are \ensuremath{\alpha}=2.01(4)\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}5}$ ${\mathrm{\ensuremath{\mu}}}_{\mathit{B}}$/ (V/cm) and \ensuremath{\beta}=1.67(4)\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}5}$${\mathrm{\ensuremath{\mu}}}_{\mathit{B}}$/ (V/cm), where ${\mathrm{\ensuremath{\mu}}}_{\mathit{B}}$ is the Bohr magneton. These results are in agreement with semiempirical theory, but disagree with previous measurements of these amplitudes in this laboratory. A critical analysis of the previous measurement is given to explain the discrepancy. The newly measured value of \ensuremath{\beta} makes it necessary to reinterpret previous measurements of parity nonconservation in the 6 ${\mathit{P}}_{1/2}$ \ensuremath{\rightarrow}7 ${\mathit{P}}_{1/2}$ transition. In the course of the present experiment, Stark shifts of the 6 ${\mathit{P}}_{1/2}$ \ensuremath{\rightarrow}7 ${\mathit{P}}_{1/2}$ and 6 ${\mathit{P}}_{1/2}$ \ensuremath{\rightarrow}7 ${\mathit{S}}_{1/2}$ transitions were also measured: \ensuremath{\Delta}\ensuremath{\nu}(6 ${\mathit{P}}_{1/2}$ \ensuremath{\rightarrow}7 ${\mathit{S}}_{1/2}$ )=-112(6) kHz/(kV/cm ${)}^{2}$ and \ensuremath{\Delta}\ensuremath{\nu}(6 ${\mathit{P}}_{1/2}$ \ensuremath{\rightarrow}7 ${\mathit{P}}_{1/2}$ )=-618(31) kHz/(kV/cm ${)}^{2}$ . These results are also in good agrement with semiempirical theory.A measurement of the Stark-induced amplitudes \ensuremath{\alpha} and \ensuremath{\beta} for the 6${\mathit{P}}_{1/2}$\ensuremath{\rightarrow}7${\mathit{P}}_{1/2}$ transition in atomic thallium is reported. Absorption of cw laser light tuned to this transition at 293 nm was compared to absorption of 378-nm cw laser light tuned to the allowed 6${\mathit{P}}_{1/2}$\ensuremath{\rightarrow}7${\mathit{S}}_{1/2}$ transition. The absorption sample was an intense atomic beam in the presence of a strong electric field. The measured values are \ensuremath{\alpha}=2.01(4)\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}5}$ ${\mathrm{\ensuremath{\mu}}}_{\mathit{B}}$/ (V/cm) and \ensuremath{\beta}=1.67(4)\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}5}$${\mathrm{\ensuremath{\mu}}}_{\mathit{B}}$/ (V/cm), where ${\mathrm{\ensuremath{\mu}}}_{\mathit{B}}$ is the Bohr magneton. These results are in agreement with semiempirical theory, but disagree with previous measurements of these amplitudes in this laboratory. A critical analysis of the previous measurement is given to explain the discrepancy. The newly measured value of \ensuremath{\beta} makes it necessary to reinterpret previous measurements of parity nonconservation in the 6${\mathit{P}}_{1/2}$\ensuremath{\rightarrow}7${\mathit{P}}_{1/2}$ transition. In the course of the present experiment, Stark shifts of the 6${\mathit{P}}_{1/2}$\ensuremath{\rightarrow}7${\mathit{P}}_{1/2}$ and 6${\mathit{P}}_{1/2}$\ensuremath{\rightarrow}7${\mathit{S}}_{1/2}$ transitions were also measured: \ensuremath{\Delta}\ensuremath{\nu}(6${\mathit{P}}_{1/2}$\ensuremath{\rightarrow}7${\mathit{S}}_{1/2}$)=-112(6) kHz/(kV/cm${)}^{2}$ and \ensuremath{\Delta}\ensuremath{\nu}(6${\mathit{P}}_{1/2}$\ensuremath{\rightarrow}7${\mathit{P}}_{1/2}$)=-618(31) kHz/(kV/cm${)}^{2}$. These results are also in good agrement with semiempirical theory.

Physical Review ADec 1, 199415 citations

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Measurement of the reduced dipole matrix element in Ba $^+$ Measurement of the reduced dipole matrix element in Ba$^+$

N. Jayjong, M. D. K. Lee, K. J. Arnold +1 more

We present a high-precision measurement of the reduced electric-dipole matrix element $\langle P_{1/2}\|r\|S_{1/2}\rangle$ in $^{138}\mathrm{Ba}^+$ . By comparing off-resonant scattering rates with dispersive Stark-shift measurements, we determine the matrix element to be $3.322\,7(12)$ , corresponding to a $P_{1/2}$ excited-state radiative lifetime of $7.866\,3(56)$ ~ns. Combining our experimental results with a prior model for the differential scalar polarizability $Δα_0(ω)$ , we extract the static value $Δα_0(0) = -73.09(12)$ a.u. This determination directly improves the evaluation of the blackbody radiation (BBR) shift, minimizing a prominent systematic limitation in room-temperature $\mathrm{Ba}^+$ optical clock error budgets. These results provide a stringent benchmark for atomic-structure calculations and advance high-precision applications in quantum metrology and tests of fundamental physics.We present a high-precision measurement of the reduced electric-dipole matrix element $\langle P_{1/2}\|r\|S_{1/2}\rangle$ in $^{138}\mathrm{Ba}^+$. By comparing off-resonant scattering rates with dispersive Stark-shift measurements, we determine the matrix element to be $3.322\,7(12)$, corresponding to a $P_{1/2}$ excited-state radiative lifetime of $7.866\,3(56)$~ns. Combining our experimental results with a prior model for the differential scalar polarizability $Δα_0(ω)$, we extract the static value $Δα_0(0) = -73.09(12)$a.u. This determination directly improves the evaluation of the blackbody radiation (BBR) shift, minimizing a prominent systematic limitation in room-temperature $\mathrm{Ba}^+$ optical clock error budgets. These results provide a stringent benchmark for atomic-structure calculations and advance high-precision applications in quantum metrology and tests of fundamental physics.

physics.atom-phCross-listedarXiv:2607.20920Jul 24, 2026

A Precise Measurement of the Stark Shift in the 5

P_{1/2}\to

S_{1/2}

410nm Transition in Indium

A measurement of the Stark-induced amplitudes \ensuremath{\alpha} and \ensuremath{\beta} for the 6

{\mathit{P}}_{1/2}

\ensuremath{\rightarrow}7

{\mathit{P}}_{1/2}

transition in atomic thallium is reported. Absorption of cw laser light tuned to this transition at 293 nm was compared to absorption of 378-nm cw laser light tuned to the allowed 6

{\mathit{P}}_{1/2}

\ensuremath{\rightarrow}7

{\mathit{S}}_{1/2}

transition. The absorption sample was an intense atomic beam in the presence of a strong electric field. The measured values are \ensuremath{\alpha}=2.01(4)\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}5}$ ${\mathrm{\ensuremath{\mu}}}_{\mathit{B}}$/ (V/cm) and \ensuremath{\beta}=1.67(4)\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}5}$${\mathrm{\ensuremath{\mu}}}_{\mathit{B}}$/ (V/cm), where ${\mathrm{\ensuremath{\mu}}}_{\mathit{B}}$ is the Bohr magneton. These results are in agreement with semiempirical theory, but disagree with previous measurements of these amplitudes in this laboratory. A critical analysis of the previous measurement is given to explain the discrepancy. The newly measured value of \ensuremath{\beta} makes it necessary to reinterpret previous measurements of parity nonconservation in the 6

{\mathit{P}}_{1/2}

\ensuremath{\rightarrow}7

{\mathit{P}}_{1/2}

transition. In the course of the present experiment, Stark shifts of the 6

{\mathit{P}}_{1/2}

\ensuremath{\rightarrow}7

{\mathit{P}}_{1/2}

and 6

{\mathit{P}}_{1/2}

\ensuremath{\rightarrow}7

{\mathit{S}}_{1/2}

transitions were also measured: \ensuremath{\Delta}\ensuremath{\nu}(6

{\mathit{P}}_{1/2}

\ensuremath{\rightarrow}7

{\mathit{S}}_{1/2}

)=-112(6) kHz/(kV/cm

{)}^{2}

and \ensuremath{\Delta}\ensuremath{\nu}(6

{\mathit{P}}_{1/2}

\ensuremath{\rightarrow}7

{\mathit{P}}_{1/2}

)=-618(31) kHz/(kV/cm

{)}^{2}

. These results are also in good agrement with semiempirical theory.

Measurement of the Stark shift of the 6s

^{2}

_{1/2}

\to

^{2}

_{\mathrm{J}}

transitions in atomic cesium

Measurement of the reduced dipole matrix element in Ba

^+

We present a high-precision measurement of the reduced electric-dipole matrix element

\langle P_{1/2}\|r\|S_{1/2}\rangle

^{138}\mathrm{Ba}^+

. By comparing off-resonant scattering rates with dispersive Stark-shift measurements, we determine the matrix element to be

3.322\,7(12)

, corresponding to a

P_{1/2}

excited-state radiative lifetime of

7.866\,3(56)

~ns. Combining our experimental results with a prior model for the differential scalar polarizability

Δα_0(ω)

, we extract the static value

Δα_0(0) = -73.09(12)

a.u. This determination directly improves the evaluation of the blackbody radiation (BBR) shift, minimizing a prominent systematic limitation in room-temperature

\mathrm{Ba}^+

optical clock error budgets. These results provide a stringent benchmark for atomic-structure calculations and advance high-precision applications in quantum metrology and tests of fundamental physics.