Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical Review A

Competition between the tensor light shift and nonlinear Zeeman effect

Witold Chałupczak, Adam M. Wojciechowski, Szymon Pustelny, Wojciech Gawlik

Published Aug 23, 2010• 29 citations
Publisher

Abstract

Many precision measurements (e.g., in spectroscopy, atomic clocks, quantum-information processing, etc.) suffer from systematic errors introduced by the light shift. In our experimental configuration, however, the tensor light shift plays a positive role enabling the observation of spectral features otherwise masked by the cancellation of the transition amplitudes and creating resonances at a frequency unperturbed either by laser power or beam inhomogeneity. These phenomena occur thanks to the special relation between the nonlinear Zeeman and light shift effects. The interplay between these two perturbations is systematically studied and the cancellation of the nonlinear Zeeman effect by the tensor light shift is demonstrated.

DOI
10.1103/physreva.82.023417

Related papers

Characterization of a Two-Photon Rubidium-87 Optical Clock

Sophia Rojas

Atomic clocks are based on highly stable and well-characterized atomic transitions, mak-ing precise control and understanding of systematic frequency shifts essential for improved timekeeping performance. This thesis presents an experimental study of light-induced Stark shifts in rubidium and their impact on precision laser spectroscopy relevant to atomic frequency standards, as well as the effects of residual amplitude modulation on the laser lock point and the resulting sensitivity of both short- and long-term stability. A laser-based spectroscopy system was developed to probe rubidium transitions while enabling controlled variation of optical intensity. The optical beam was experimentally characterized through calculations of beam waist and measurements of power to accurately determine the intensity at the interaction region. Frequency shifts arising from the AC Stark effect were measured as a function of optical power, allowing extraction of the differential polarizability between atomic energy levels using a theoretical model relating energy shifts to electric-field intensity. Uncertainty analysis was performed through systematic propagation of experimental errors associated with beam geometry, optical power calibration, and frequency measurements. In addition, residual amplitude modulation generated by electro-optic phase modulation was investigated as a significant source of systematic error in frequency stabilization systems used in atomic clocks. The magnitude and behavior of RAM were experimentally characterized, and its impact on frequency stability was quantified by measuring the sensitivity of the laser lock point to controlled variations in RAM. Potential mitigation strategies were then explored through active pre-compensation of RAM using an amplitude electro-optic modulator in a closed-loop feedback system.

•Jan 1, 2026•0 citations

Light shifts in quantum-beat spectroscopy

DONG TAI-QIAN, Harold J. Metcalf

In ordinary quantum-beat spectroscopy the excitation mechanism (e.g., laser pulse) is not expected to affect the results because the measurements are made on a freely evolving atom in the dark (after pulse ends). In this paper we point out an example where this is not so. As an example, we show how light shifts can alter the results of time-delayed measurements.

Physical Review A•Jun 1, 1982•1 citation

Some quantum effects in nonlinear optics

L. Mandeļ, E. Wolf

Introduction We have already encountered situations in which light of one frequency falling on an atomic system gives rise to light of different frequencies (cf. Section 15.6). The atom may here be considered to play the role of a (noisy) nonlinear transducer for the incident field. Even stronger nonlinear effects arise when one is dealing with a large number of atoms, or a nonlinear medium . Under these circumstances it is sometimes permissible to ignore the atomic structure and to treat the medium as a continuum, as in Maxwell's electromagnetic theory. The subject of the interaction of the incident field with the nonlinear medium is usually known as nonlinear optics. The subject had its beginnings in an experiment in which a strong beam of red light (wavelength 6943 Å) from a ruby laser was allowed to fall on a quartz crystal, and a faint beam of blue light at a wavelength of 3472 Å, the first harmonic of the red, was produced (Franken, Hill, Peters and Weinreich, 1961). The development of the subject of nonlinear optics into a mature field is due largely to the work of Bloembergen and his collaborators. In the following we shall consider only a few simple illustrative examples of phenomena in nonlinear optics. More topics and more detail can be found in the books by Bloembergen and others (Bloembergen, 1965; Yariv, 1967, Chap. 21; Shen, 1984; Schubert and Wilhelmi, 1986; Butcher and Cotter, 1990; Boyd, 1992).

Cambridge University Press eBooks•Sep 29, 1995•3 citations

The Inhomogeneous Light Shift in Alkali Atoms.

James C. Camparo, R. P. Frueholz, C. H. Volk

The dynamic Stark shift of an inhomogeneously broadened spectral transition has been studied. Our measurements show a shift in the observed 87 Rb ground-state hyperfine transition, which has a nonlinear dependence on light intensity when the conditions for inhomogeneous broadening are met. The nonlinearity is the result of light-intensity gradients in the signal volume, which produce an inhomogeneously broadened asymmetric microwave transition. We show that our measurements are in full agreement with the second-order perturbation-theory treatment of light-induced energy-level shifts when the effects of inhomogeneities are properly taken into consideration. The effects of inhomogeneous broadening must be carefully considered when one extracts oscillator strengths from light-shift data, or performs high-precision laser spectroscopy. Originator-supplied keywords include: AC stark effect, Atomic clocks, Atomic line shapes, Light shifts.

Unknown eBooks•Jun 24, 1985•0 citations

Controlling quantum fluctuations of macroscopic light with sharply nonlinear gain

Linh Nguyen, Jamison Sloan, Nicholas Rivera +1 more

Here, we introduce a mechanism of “sharp nonlinear gain” that strongly suppresses quantum fluctuations of lasers. This effect can lead to orders-of-magnitude suppression of intensity fluctuations in real lasers, as well as macroscopic sub-Poissonian light.

Conference on Lasers and Electro-Optics•Jan 1, 2022•0 citations

Measurement of the polarization‐ and orientation‐dependent scalar, vector, and tensor light shifts in 87Rb using the near‐resonant, stimulated Raman spectroscopy

Qingqing Hu, Qian Wang, Yukun Luo +5 more

Abstract We present the polarization‐ and orientation‐dependent characteristics of the differential light shifts (DLSs) in 87Rb using the near‐resonant, stimulated Raman spectroscopy with an atomic fountain clock. Simulation and experimental results demonstrate that the Raman resonant frequencies would shift sinusoidally as the rotation of the laser's polarization vector due to the polarization‐dependent vector and tensor DLSs, and the total DLS is counteracted in some elliptically polarized laser configurations. What is more, this paper provides an alternative method to measure the effective magnetic field vector and the absolute scalar, vector, and tensor (SVT) DLSs and to verify the theoretically calculated SVT dynamical polarizabilities. These results will facilitate the evaluation and elimination of the light shift‐related systemic errors in the atomic optics‐based quantum sensors, including the atomic magnetometer, atomic interferometer, atomic clock, and quantum register.

Journal of Raman Spectroscopy•Jan 14, 2020•0 citations
Many precision measurements (e.g., in spectroscopy, atomic clocks, quantum-information processing, etc.) suffer from systematic errors introduced by the light shift. In our experimental configuration, however, the tensor light shift plays a positive role enabling the observation of spectral features otherwise masked by the cancellation of the transition amplitudes and creating resonances at a frequency unperturbed either by laser power or beam inhomogeneity. These phenomena occur thanks to the special relation between the nonlinear Zeeman and light shift effects. The interplay between these two perturbations is systematically studied and the cancellation of the nonlinear Zeeman effect by the tensor light shift is demonstrated.
Atomic clocks are based on highly stable and well-characterized atomic transitions, mak-ing precise control and understanding of systematic frequency shifts essential for improved timekeeping performance. This thesis presents an experimental study of light-induced Stark shifts in rubidium and their impact on precision laser spectroscopy relevant to atomic frequency standards, as well as the effects of residual amplitude modulation on the laser lock point and the resulting sensitivity of both short- and long-term stability. A laser-based spectroscopy system was developed to probe rubidium transitions while enabling controlled variation of optical intensity. The optical beam was experimentally characterized through calculations of beam waist and measurements of power to accurately determine the intensity at the interaction region. Frequency shifts arising from the AC Stark effect were measured as a function of optical power, allowing extraction of the differential polarizability between atomic energy levels using a theoretical model relating energy shifts to electric-field intensity. Uncertainty analysis was performed through systematic propagation of experimental errors associated with beam geometry, optical power calibration, and frequency measurements. In addition, residual amplitude modulation generated by electro-optic phase modulation was investigated as a significant source of systematic error in frequency stabilization systems used in atomic clocks. The magnitude and behavior of RAM were experimentally characterized, and its impact on frequency stability was quantified by measuring the sensitivity of the laser lock point to controlled variations in RAM. Potential mitigation strategies were then explored through active pre-compensation of RAM using an amplitude electro-optic modulator in a closed-loop feedback system.
Introduction We have already encountered situations in which light of one frequency falling on an atomic system gives rise to light of different frequencies (cf. Section 15.6). The atom may here be considered to play the role of a (noisy) nonlinear transducer for the incident field. Even stronger nonlinear effects arise when one is dealing with a large number of atoms, or a nonlinear medium . Under these circumstances it is sometimes permissible to ignore the atomic structure and to treat the medium as a continuum, as in Maxwell's electromagnetic theory. The subject of the interaction of the incident field with the nonlinear medium is usually known as nonlinear optics. The subject had its beginnings in an experiment in which a strong beam of red light (wavelength 6943 Å) from a ruby laser was allowed to fall on a quartz crystal, and a faint beam of blue light at a wavelength of 3472 Å, the first harmonic of the red, was produced (Franken, Hill, Peters and Weinreich, 1961). The development of the subject of nonlinear optics into a mature field is due largely to the work of Bloembergen and his collaborators. In the following we shall consider only a few simple illustrative examples of phenomena in nonlinear optics. More topics and more detail can be found in the books by Bloembergen and others (Bloembergen, 1965; Yariv, 1967, Chap. 21; Shen, 1984; Schubert and Wilhelmi, 1986; Butcher and Cotter, 1990; Boyd, 1992).
The dynamic Stark shift of an inhomogeneously broadened spectral transition has been studied. Our measurements show a shift in the observed 87 Rb ground-state hyperfine transition, which has a nonlinear dependence on light intensity when the conditions for inhomogeneous broadening are met. The nonlinearity is the result of light-intensity gradients in the signal volume, which produce an inhomogeneously broadened asymmetric microwave transition. We show that our measurements are in full agreement with the second-order perturbation-theory treatment of light-induced energy-level shifts when the effects of inhomogeneities are properly taken into consideration. The effects of inhomogeneous broadening must be carefully considered when one extracts oscillator strengths from light-shift data, or performs high-precision laser spectroscopy. Originator-supplied keywords include: AC stark effect, Atomic clocks, Atomic line shapes, Light shifts.
Abstract We present the polarization‐ and orientation‐dependent characteristics of the differential light shifts (DLSs) in 87Rb using the near‐resonant, stimulated Raman spectroscopy with an atomic fountain clock. Simulation and experimental results demonstrate that the Raman resonant frequencies would shift sinusoidally as the rotation of the laser's polarization vector due to the polarization‐dependent vector and tensor DLSs, and the total DLS is counteracted in some elliptically polarized laser configurations. What is more, this paper provides an alternative method to measure the effective magnetic field vector and the absolute scalar, vector, and tensor (SVT) DLSs and to verify the theoretically calculated SVT dynamical polarizabilities. These results will facilitate the evaluation and elimination of the light shift‐related systemic errors in the atomic optics‐based quantum sensors, including the atomic magnetometer, atomic interferometer, atomic clock, and quantum register.