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

Shifts from a distant neighboring resonance

Marko Horbatsch, Eric A. Hessels

Published Nov 24, 2010• 73 citations
Publisher

Abstract

The line center of a resonance is affected by the presence of neighboring resonances due to quantum interference between the two resonant processes. Such shifts must be accounted for in high-precision measurements but are easily overlooked. In the present work, we develop an analytic formulation for the effect in the simplest case of a three-level atom. The shifts in this model system are large enough to be of concern for precision measurements.

DOI
10.1103/physreva.82.052519

Related papers

Shifts from a distant neighboring resonance for a four-level atom

Marko Horbatsch, Eric A. Hessels

In a recent paper [Phys. Rev. A 82, 052519 (2010)], the systematic shifts of a resonance due to quantum-mechanical interference from a distant neighboring resonance were derived. In that paper, the simplest three-level closed system was used to calculate analytic expressions for shifts in the resonant line centers. Here, we extend the analysis to the more relevant four-level system, which consists of two ground states and two excited states and which incorporates the physics of dark states. The shifts are shown to depend on the type of experiment performed and can be much larger than the shifts for the three-level system. The analytic formulas obtained are applied to the $2{}^{\phantom{\rule{0.16em}{0ex}}\phantom{\rule{0.16em}{0ex}}3}S$-to-$2{}^{\phantom{\rule{0.16em}{0ex}}\phantom{\rule{0.16em}{0ex}}3}P$ transitions in atomic helium, where significant shifts are found.

Physical Review A•Sep 16, 2011•36 citations

Cooperative and interference effects in the resonance fluorescence of two identical three-level atoms at high photon densities

Constantine Mavroyannis

Physica A Statistical Mechanics and its Applications•Oct 1, 1984•3 citations

Quantum interference and light polarization effects in unresolvable atomic lines: Application to a precise measurement of the 6 , 7 Li D 2 lines

Roger C. Brown, Saijun Wu, J. V. Porto +5 more

We characterize the effect of quantum interference on the line shapes and measured line positions in atomic spectra. These effects, which occur when the excited-state splittings are of order of the natural line widths, represent an overlooked but significant systematic effect. We show that excited-state interference gives rise to non-Lorentzian line shapes that depend on excitation polarization, and we present expressions for the corrected line shapes. We present spectra of ${}^{6,7}$Li $D$ lines taken at multiple excitation laser polarizations and show that failure to account for interference changes the inferred line strengths and shifts the line centers by as much as 1 MHz. Using the correct line shape, we determine absolute optical transition frequencies with an uncertainty of $\ensuremath{\le}$25 kHz and provide an improved determination of the difference in mean-square nuclear charge radii between ${}^{6}$Li and ${}^{7}$Li. This analysis should be important for a number of high-resolution spectral measurements that include partially resolvable atomic lines.

arXiv:1212.2220•Physical Review A•Mar 7, 2013•88 citations

Cooperative and interference effects in the resonance fluorescence of two identical three-level atoms at high photon densities

Constantine Mavroyannis

Physica A Statistical Mechanics and its Applications•Feb 1, 1982•6 citations

Evaluation of the influence of neighboring resonance on spectroscopy measurements

Ming-Chen Chen, Xiao-Qiu Qi, Aixi Chen

The quantum interference arising from neighboring resonance is investigated in a four-level system. This effect is evaluated through two methods: one is the direct numerical solution of the optical Bloch equation, and the other considers the impact of neighboring resonances as perturbations on other equations, i.e., using a simplified approximate optical Bloch equation for simulation. The results show that the energy shift caused by quantum interference is correlated with the spectral separation of two resonances, and is most significant when the interval is comparable to the spontaneous emission rate [Formula: see text]. For spectral separation that is sufficiently large, with spacing greater than [Formula: see text], the approximate optical Bloch equation method proves to be a straightforward and efficient approach. In addition, two formulas are given, which can be used to evaluate the contributions of neighboring resonances at other positions once the contribution of one is determined. According to the formulas, we evaluated the result of 4He atom as about [Formula: see text] kHz, which is consistent with the value given in the paper [Phys. Rev. A 86 (2012) 040501(R)]. Utilizing these methods can streamline intricate energy level structures, and thus facilitate the evaluation of quantum interference in high-precision spectroscopic measurements.

Modern Physics Letters B•Feb 28, 2024•0 citations

The Effect of a Near-Resonant Intermediate Level on the Double-Quantum Transitions in a Three-Level Spin System

R. Boscaino, A Tripo

Springer eBooks•Jan 1, 1979•0 citations
The line center of a resonance is affected by the presence of neighboring resonances due to quantum interference between the two resonant processes. Such shifts must be accounted for in high-precision measurements but are easily overlooked. In the present work, we develop an analytic formulation for the effect in the simplest case of a three-level atom. The shifts in this model system are large enough to be of concern for precision measurements.
In a recent paper [Phys. Rev. A 82, 052519 (2010)], the systematic shifts of a resonance due to quantum-mechanical interference from a distant neighboring resonance were derived. In that paper, the simplest three-level closed system was used to calculate analytic expressions for shifts in the resonant line centers. Here, we extend the analysis to the more relevant four-level system, which consists of two ground states and two excited states and which incorporates the physics of dark states. The shifts are shown to depend on the type of experiment performed and can be much larger than the shifts for the three-level system. The analytic formulas obtained are applied to the 23S2{}^{\phantom{\rule{0.16em}{0ex}}\phantom{\rule{0.16em}{0ex}}3}S23S-to-23P2{}^{\phantom{\rule{0.16em}{0ex}}\phantom{\rule{0.16em}{0ex}}3}P23P transitions in atomic helium, where significant shifts are found.
We characterize the effect of quantum interference on the line shapes and measured line positions in atomic spectra. These effects, which occur when the excited-state splittings are of order of the natural line widths, represent an overlooked but significant systematic effect. We show that excited-state interference gives rise to non-Lorentzian line shapes that depend on excitation polarization, and we present expressions for the corrected line shapes. We present spectra of 6,7{}^{6,7}6,7Li DDD lines taken at multiple excitation laser polarizations and show that failure to account for interference changes the inferred line strengths and shifts the line centers by as much as 1 MHz. Using the correct line shape, we determine absolute optical transition frequencies with an uncertainty of $\ensuremath{\le}$25 kHz and provide an improved determination of the difference in mean-square nuclear charge radii between 6{}^{6}6Li and 7{}^{7}7Li. This analysis should be important for a number of high-resolution spectral measurements that include partially resolvable atomic lines.
The quantum interference arising from neighboring resonance is investigated in a four-level system. This effect is evaluated through two methods: one is the direct numerical solution of the optical Bloch equation, and the other considers the impact of neighboring resonances as perturbations on other equations, i.e., using a simplified approximate optical Bloch equation for simulation. The results show that the energy shift caused by quantum interference is correlated with the spectral separation of two resonances, and is most significant when the interval is comparable to the spontaneous emission rate [Formula: see text]. For spectral separation that is sufficiently large, with spacing greater than [Formula: see text], the approximate optical Bloch equation method proves to be a straightforward and efficient approach. In addition, two formulas are given, which can be used to evaluate the contributions of neighboring resonances at other positions once the contribution of one is determined. According to the formulas, we evaluated the result of 4He atom as about [Formula: see text] kHz, which is consistent with the value given in the paper [Phys. Rev. A 86 (2012) 040501(R)]. Utilizing these methods can streamline intricate energy level structures, and thus facilitate the evaluation of quantum interference in high-precision spectroscopic measurements.