Nanofibers have many promising applications because of their advantages of high power density and ultralow saturated light intensity. We present here a Zeeman shift of the Doppler-broadened cesium D 2 transition using a tapered optical nanofiber in the presence of a magnetic field. When a weak magnetic field is parallel to the propagating light in the nanofiber, the Zeeman shift rates for different circularly polarized spectra are observed. For the σ + component, the typical linear Zeeman shift rates of F = 3 and F = 4 ground-state cesium atoms are measured to be 3.10( ±0.19 ) MHz/G and 3.91( ±0.16 ) MHz/G. For the σ − component, the values are measured to be −2.81( ± 0.25) MHz/G, and −0.78( ± 0.28) MHz/G. The Zeeman shift using the tapered nanofiber can help to develop magnetometers to measure the magnetic field at the narrow local region and the dispersive signal to lock laser frequency .Nanofibers have many promising applications because of their advantages of high power density and ultralow saturated light intensity. We present here a Zeeman shift of the Doppler-broadened cesium D 2 transition using a tapered optical nanofiber in the presence of a magnetic field. When a weak magnetic field is parallel to the propagating light in the nanofiber, the Zeeman shift rates for different circularly polarized spectra are observed. For the σ + component, the typical linear Zeeman shift rates of F = 3 and F = 4 ground-state cesium atoms are measured to be 3.10( ±0.19 ) MHz/G and 3.91( ±0.16 ) MHz/G. For the σ − component, the values are measured to be −2.81( ± 0.25) MHz/G, and −0.78( ± 0.28) MHz/G. The Zeeman shift using the tapered nanofiber can help to develop magnetometers to measure the magnetic field at the narrow local region and the dispersive signal to lock laser frequency .

Chinese Physics LettersAug 1, 20180 citations

87Rb Two-photon Light Shift suppression through control of the excited state Zeeman Shifts

Bryan Semon, Asagwegbe C. Obaze-Adeleke, Thejesh Bandi

Abstract AC Stark effect, also known as light shift effect, is a dominating factor limiting the long-term stability of the rubidium optical clock. We propose a method of locking the laser loop which allows the Zeeman shift to act as a counterbalance to the light shift. In pursuit of this goal, we show detailed calculations for the excited state Zeeman splitting in the intermediate magnetic field regime (0~G to 12~G) and demonstrate measurements with quantitative spectroscopic data confirming to within $\pm$ 90~kHz/G the predicted Zeeman shift calculations for the $F_e = 4, m_f = -2$ transition. In this proof-of-concept setup the method of light shift compensation via Zeeman shift control to within 3.5~kHz is demonstrated. Further improvements in the magnetic field control could enhance the accuracy for controlling the light shift effect to well below 1~kHz, limited by noise in the applied Zeeman shift which is proportional to both the stability of the current in the coil and the Zeeman sensitivity of the chosen transition.Abstract AC Stark effect, also known as light shift effect, is a dominating factor limiting the long-term stability of the rubidium optical clock. We propose a method of locking the laser loop which allows the Zeeman shift to act as a counterbalance to the light shift. In pursuit of this goal, we show detailed calculations for the excited state Zeeman splitting in the intermediate magnetic field regime (0~G to 12~G) and demonstrate measurements with quantitative spectroscopic data confirming to within $\pm$ 90~kHz/G the predicted Zeeman shift calculations for the $F_e = 4, m_f = -2$ transition. In this proof-of-concept setup the method of light shift compensation via Zeeman shift control to within 3.5~kHz is demonstrated. Further improvements in the magnetic field control could enhance the accuracy for controlling the light shift effect to well below 1~kHz, limited by noise in the applied Zeeman shift which is proportional to both the stability of the current in the coil and the Zeeman sensitivity of the chosen transition.

Sep 11, 20250 citations

On the Theory of the Zeeman Effect

G. GIANFRANCESCHI

NatureAug 1, 19250 citations

Characterization of rf field-induced a.c. Zeeman shift in multi-level highly charged ions

Shuying Chen, Lukas J. Spieß, Alexander Wilzewski +3 more

Characterization of the trap rf induced a.c. Zeeman shift is essential for achieving high accuracy in optical ion clocks. In this work, we demonstrate the experimental characterization of this shift using highly charged $\mathrm{Ca}^{14+}$ . The transverse component of the a.c. magnetic field is measured using the Autler-Townes splitting of the equally-spaced Zeeman components of the $^{3}\mathrm{P}_1$ when the Zeeman splitting is close to resonance with the trap rf drive frequency. We observe the resulting modulation by performing quantum logic spectroscopy using the co-trapped $\mathrm{Be}^{+}$ . The longitudinal component is measured from probing the $\mathrm{Be}^{+}$ magnetic field-insensitive hyperfine transition $|F=2,m_F=0 \rangle \rightarrow | F=1,m_F=0 \rangle$ . We confirm the small influence of the a.c. Zeeman shift in highly charged ions. The employed techniques can easily be transferred to other multi-level atomic systems.Characterization of the trap rf induced a.c. Zeeman shift is essential for achieving high accuracy in optical ion clocks. In this work, we demonstrate the experimental characterization of this shift using highly charged $\mathrm{Ca}^{14+}$. The transverse component of the a.c. magnetic field is measured using the Autler-Townes splitting of the equally-spaced Zeeman components of the $^{3}\mathrm{P}_1$ when the Zeeman splitting is close to resonance with the trap rf drive frequency. We observe the resulting modulation by performing quantum logic spectroscopy using the co-trapped $\mathrm{Be}^{+}$. The longitudinal component is measured from probing the $\mathrm{Be}^{+}$ magnetic field-insensitive hyperfine transition $|F=2,m_F=0 \rangle \rightarrow | F=1,m_F=0 \rangle$. We confirm the small influence of the a.c. Zeeman shift in highly charged ions. The employed techniques can easily be transferred to other multi-level atomic systems.

arXiv:2604.09481Apr 10, 20260 citations

The Zeeman effect revisited

J. E. Avron, Ira Herbst, Barry Simon A

Physics Letters AAug 1, 197761 citations

\pm

90~kHz/G the predicted Zeeman shift calculations for the

F_e = 4, m_f = -2

transition. In this proof-of-concept setup the method of light shift compensation via Zeeman shift control to within 3.5~kHz is demonstrated. Further improvements in the magnetic field control could enhance the accuracy for controlling the light shift effect to well below 1~kHz, limited by noise in the applied Zeeman shift which is proportional to both the stability of the current in the coil and the Zeeman sensitivity of the chosen transition.

\mathrm{Ca}^{14+}

. The transverse component of the a.c. magnetic field is measured using the Autler-Townes splitting of the equally-spaced Zeeman components of the

^{3}\mathrm{P}_1

when the Zeeman splitting is close to resonance with the trap rf drive frequency. We observe the resulting modulation by performing quantum logic spectroscopy using the co-trapped

\mathrm{Be}^{+}

. The longitudinal component is measured from probing the

\mathrm{Be}^{+}

magnetic field-insensitive hyperfine transition

|F=2,m_F=0 \rangle \rightarrow | F=1,m_F=0 \rangle

. We confirm the small influence of the a.c. Zeeman shift in highly charged ions. The employed techniques can easily be transferred to other multi-level atomic systems.