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

Journal of Experimental and Theoretical Physics Letters

Precision Stark spectroscopy of the fine structure of the microwave transition 37P-37S in sodium Rydberg atoms

Igor M. Beterov, I. I. Ryabtsev

Published Dec 1, 1998• 4 citations
Publisher

Abstract

The results of experimental and theoretical investigations of the fine structure of the spectrum of the microwave transition 37 P -37 S in sodium Rydberg atoms in a weak electric field are reported. New data are obtained on the experimental values of the scalar and tensor polarizabilities of the 37 P level. A numerical simulation of the Stark diagram, taking into account the influence of the anticrossings of the Rydberg levels, is performed, and the results are found to be in good agreement with experiment.

DOI
10.1134/1.567798

Related papers

Rydberg's sodium atoms as high-sensitive narrowband reconfigurable microwave detector

Denis B. Tretyakov

An interaction of microwave radiation with high-excited (Rydberg) atoms has been suggested to be used for radiation detection and measurement of its frequency. Our objective in the present work was to investigate experimentally and theoretically the spectrum of the microwave transition 37P-37S in sodium Rydberg atoms in a weak static electric field and to perform accurate measurements of the scalar and tensor polarizabilities of the 37P level. Knowledge of polarizabilities is required to find a magnitude of energy level shifts in atom by known static electric fields. The Na S and P states possess large quantum defects (1.347 and 0.854, respectively), so that a quadratic Stark effect in weak fields is characteristic for these levels.

IEEE-Russia Conference on High Power Microwave Electronics: Measurements, Identification, Applications (MIA-ME)•Jan 22, 2003•0 citations

Microwave spectroscopy of the Zeeman effect in Rydberg atoms of sodium

I. I. Ryabtsev, Denis B. Tretyakov

Experimental results of studying the spectrum of the microwave 37 P -37 S transition of Rydberg sodium atoms in a weak magnetic field (≤7 G) are reported. The populations of the Rydberg states were measured using the method of selective ionization with a pulsed electric field. When the magnetic field was parallel to the ionizing electric field, a good agreement between the calculated and experimental spectral shapes was observed, making it possible to determine the unknown polarization of the microwave radiation. In the case of the orthogonal configuration of the fields, the resonance structure was suppressed in the field ionization signals due to the strong influence of the magnetic field on the electron trajectories in the detection system.

Optics and Spectroscopy•Feb 1, 2001•1 citation

The break of L-S coupling and the double Stark resonance in the spectrum of 36P → 37P two-photon transition in Rydberg atoms of sodium

I. I. Ryabtsev, Denis B. Tretyakov

New results are presented of an experimental investigation of the spectrum of 36 P → 37 P two-photon microwave transition in Rydberg atoms of sodium in a constant electric field. Depending on the conditions of excitation of the initial 36 P state (the constant electric field is switched on either before or after the exciting laser pulse) and polarization of laser radiation, a strong variation is observed of the amplitudes of individual two-photon transitions between the fine-structure Stark components of the 36 P and 37 P states. This effect is an analog of the Paschen-Back effect in a strong magnetic field and is due to the break of L-S coupling and to the variation of the wave functions of Rydberg electrons in an electric field. It is also found that the break of L-S coupling affects considerably the shape of double Stark resonance arising upon intersection of the virtual intermediate level of two-photon transition with the real intermediate 37 S level.

Journal of Experimental and Theoretical Physics•Apr 1, 2002•3 citations

Structure of Sodium Rydberg States in Weak to Strong Electric Fields

Michael G. Littman, Myron L. Zimmerman, Theodore W. Ducas +2 more

We present results of an experimental survey of the $n=15$ state of Na in electric fields from 0 to 4 kV/cm. Both linear and higher-order Stark effects play important roles. States with low $|m|$ show marked differences from hydrogenic behavior, particularly in the vicinity of level crossings. Computed values for the energy levels are in good agreement with the data. The experimental method provides a simple technique for populating selected Stark or angular momentum levels of a Rydberg state.

Physical Review Letters•Apr 5, 1976•112 citations

Stark-switching technique for fast quantum gates in Rydberg atoms

I. I. Ryabtsev, Denis B. Tretyakov, Ilya I. Beterov

An experiment on Ramsey interferometry of the 37S 1/2 → 37P 1/2 microwave transition in sodium Rydberg atoms has been performed. Interaction of Rydberg atoms with a cw microwave radiation was effectively controlled by a pulse of weak (<1 V cm −1 ) electric field, that manipulated the transition frequency near 70 050 MHz. The pulse detuned the microwave radiation from exact resonance, and induced additional phases to the wavefunctions of Rydberg states due to the quadratic Stark shifts. As a result, the Ramsey fringes were observable both on scanning the frequency of the microwave field and on scanning the strength of the electric field pulse. The experiment confirmed that this Stark-switching technique provides a fast and effective control of the atom–light interactions, and preserves the atomic coherence. Possible applications of this technique to experiments on quantum computers are discussed.

Journal of Physics B Atomic Molecular and Optical Physics•Jan 8, 2003•19 citations

Millimeter spectroscopy in sodium Rydberg states: Quantum-defect, fine-structure, and polarizability measurements

Claude Fabre, S. Haroche, P. Goy

Millimeter resonances corresponding to single- and double-photon transitions have been observed between Rydberg levels of sodium with principal quantum number $n$ ranging from 23 to 41. The levels are prepared by laser excitation; transitions are induced by microwaves produced by a backwave oscillator working around 300 GHz; detection is performed through the selective field-ionization technique. Experimental values for quantum defects, fine-structure intervals, and polarizabilities are reported.

Physical Review A•Jul 1, 1978•76 citations
The results of experimental and theoretical investigations of the fine structure of the spectrum of the microwave transition 37 P -37 S in sodium Rydberg atoms in a weak electric field are reported. New data are obtained on the experimental values of the scalar and tensor polarizabilities of the 37 P level. A numerical simulation of the Stark diagram, taking into account the influence of the anticrossings of the Rydberg levels, is performed, and the results are found to be in good agreement with experiment.
An interaction of microwave radiation with high-excited (Rydberg) atoms has been suggested to be used for radiation detection and measurement of its frequency. Our objective in the present work was to investigate experimentally and theoretically the spectrum of the microwave transition 37P-37S in sodium Rydberg atoms in a weak static electric field and to perform accurate measurements of the scalar and tensor polarizabilities of the 37P level. Knowledge of polarizabilities is required to find a magnitude of energy level shifts in atom by known static electric fields. The Na S and P states possess large quantum defects (1.347 and 0.854, respectively), so that a quadratic Stark effect in weak fields is characteristic for these levels.
Experimental results of studying the spectrum of the microwave 37 P -37 S transition of Rydberg sodium atoms in a weak magnetic field (≤7 G) are reported. The populations of the Rydberg states were measured using the method of selective ionization with a pulsed electric field. When the magnetic field was parallel to the ionizing electric field, a good agreement between the calculated and experimental spectral shapes was observed, making it possible to determine the unknown polarization of the microwave radiation. In the case of the orthogonal configuration of the fields, the resonance structure was suppressed in the field ionization signals due to the strong influence of the magnetic field on the electron trajectories in the detection system.
New results are presented of an experimental investigation of the spectrum of 36 P → 37 P two-photon microwave transition in Rydberg atoms of sodium in a constant electric field. Depending on the conditions of excitation of the initial 36 P state (the constant electric field is switched on either before or after the exciting laser pulse) and polarization of laser radiation, a strong variation is observed of the amplitudes of individual two-photon transitions between the fine-structure Stark components of the 36 P and 37 P states. This effect is an analog of the Paschen-Back effect in a strong magnetic field and is due to the break of L-S coupling and to the variation of the wave functions of Rydberg electrons in an electric field. It is also found that the break of L-S coupling affects considerably the shape of double Stark resonance arising upon intersection of the virtual intermediate level of two-photon transition with the real intermediate 37 S level.
We present results of an experimental survey of the n=15n=15n=15 state of Na in electric fields from 0 to 4 kV/cm. Both linear and higher-order Stark effects play important roles. States with low ∣m∣|m|∣m∣ show marked differences from hydrogenic behavior, particularly in the vicinity of level crossings. Computed values for the energy levels are in good agreement with the data. The experimental method provides a simple technique for populating selected Stark or angular momentum levels of a Rydberg state.
An experiment on Ramsey interferometry of the 37S 1/2 → 37P 1/2 microwave transition in sodium Rydberg atoms has been performed. Interaction of Rydberg atoms with a cw microwave radiation was effectively controlled by a pulse of weak (<1 V cm −1 ) electric field, that manipulated the transition frequency near 70 050 MHz. The pulse detuned the microwave radiation from exact resonance, and induced additional phases to the wavefunctions of Rydberg states due to the quadratic Stark shifts. As a result, the Ramsey fringes were observable both on scanning the frequency of the microwave field and on scanning the strength of the electric field pulse. The experiment confirmed that this Stark-switching technique provides a fast and effective control of the atom–light interactions, and preserves the atomic coherence. Possible applications of this technique to experiments on quantum computers are discussed.
Millimeter resonances corresponding to single- and double-photon transitions have been observed between Rydberg levels of sodium with principal quantum number nnn ranging from 23 to 41. The levels are prepared by laser excitation; transitions are induced by microwaves produced by a backwave oscillator working around 300 GHz; detection is performed through the selective field-ionization technique. Experimental values for quantum defects, fine-structure intervals, and polarizabilities are reported.