Physical Review A

Quadratic Zeeman effect in positronium

Gerald Feinberg, A. Rich, Joseph Sucher

Published Apr 1, 1990• 15 citations

Abstract

The orbital ${\mathrm{\ensuremath{\mu}}}_{\mathit{L}}$\ensuremath{\cdot}B and diamagnetic ${\mathit{A}}^{2}$ interactions of electrons and positrons with an external magnetic field lead to a small quadratic Zeeman shift in the L=0, ${\mathit{m}}_{\mathit{S}}$=\ifmmode\pm\else\textpm\fi{}1 states of positronium, which, unlike the ${\mathit{m}}_{\mathit{S}}$=0 states, are not affected by the usual, spin-induced Zeeman shifts. For the n=1 states, this shift would be about 2 kHz in a field of 1000 G. These additional shifts are the same in all spin states for L=0 but do depend on n.

DOI: 10.1103/physreva.41.3478

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The Linear Zeeman effect in the molecular positronium Ps2 (dipositronium)

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Measurement of nuclear and electronic Zeeman effects using optical hole-burning spectroscopy

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Quadratic Zeeman effect and l-mixing in high Rydberg states of Sr

R. Beigang, W. Makat, Eckart Matthias +2 more

By taking advantage of the n 4 scaling factor, the quadratic Zeeman effect was measured for low magnetic fields in Rydberg states with principal quantum numbers n>100. The observed l-mixing is found to be in agreement with theoretical predictions.

Journal of Physics B Atomic and Molecular PhysicsJul 28, 19843 citations

Physical Review A

Quadratic Zeeman effect in positronium

Gerald Feinberg, A. Rich, Joseph Sucher

Published Apr 1, 1990• 15 citations

Publisher

Abstract

The orbital

{\mathrm{\ensuremath{\mu}}}_{\mathit{L}}

\ensuremath{\cdot}B and diamagnetic

{\mathit{A}}^{2}

interactions of electrons and positrons with an external magnetic field lead to a small quadratic Zeeman shift in the L=0,

{\mathit{m}}_{\mathit{S}}

=\ifmmode\pm\else\textpm\fi{}1 states of positronium, which, unlike the

{\mathit{m}}_{\mathit{S}}

=0 states, are not affected by the usual, spin-induced Zeeman shifts. For the n=1 states, this shift would be about 2 kHz in a field of 1000 G. These additional shifts are the same in all spin states for L=0 but do depend on n.

DOI: 10.1103/physreva.41.3478

Related papers

The Linear Zeeman effect in the molecular positronium Ps2 (dipositronium)

Miller, Daniel L.

The linear Zeeman effect in the molecular positronium Ps2 (dipositronium) is predicted for some of $S=1$ , $M=\pm1$ states. This result is opposite to the case of the positronium atom; the latter has only quadratic Zeeman effect.The linear Zeeman effect in the molecular positronium Ps2 (dipositronium) is predicted for some of $S=1$, $M=\pm1$ states. This result is opposite to the case of the positronium atom; the latter has only quadratic Zeeman effect.

arXiv:1504.00031Mar 29, 20150 citations

Stark and Zeeman effects on laser cooling of positronium

CHARLES D. DERMER

Theoretical work on laser cooling of Positronium, including effects of external magnetic and electric fields, is reviewed and extended.

Jan 1, 19900 citations

Measurement of nuclear and electronic Zeeman effects using optical hole-burning spectroscopy

R. M. Macfarlane, Robert M. Shelby

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Optics LettersFeb 1, 198142 citations

Radiative properties of Zeeman components of atomic multiplets: Dependence of line intensities on the magnetic field

V. D. Ovsyannikov, Evgenii V Chaplygin

Analytical expressions for the dependence of the intensity of Zeeman components of doublet lines on the magnetic field are obtained. Sharp changes of these function on passing from the anomalous Zeeman effect to the Paschen-Back effect lead to the disappearance of marginal lines and the equalization of intensities of remaining lines. In the region of the complete Paschen-Back effect, a strong influence on these dependences is produced by the dynamic atom-field interaction, which weakens the paramagnetic effect in the states with a positive magnetic quantum number m and enhances the effect in the states with a negative m . Simple analytical expressions are obtained that take into account the effect of the diamagnetic interaction on line intensities. The role of the diamagnetic interaction increases in Rydberg atomic states with a large spin-orbit splitting. For the states with m > 0, it can lead to the “diamagnetic reversal” of the Paschen-Back effect, i.e., the recovery of the anomalous Zeeman effect.Analytical expressions for the dependence of the intensity of Zeeman components of doublet lines on the magnetic field are obtained. Sharp changes of these function on passing from the anomalous Zeeman effect to the Paschen-Back effect lead to the disappearance of marginal lines and the equalization of intensities of remaining lines. In the region of the complete Paschen-Back effect, a strong influence on these dependences is produced by the dynamic atom-field interaction, which weakens the paramagnetic effect in the states with a positive magnetic quantum number m and enhances the effect in the states with a negative m . Simple analytical expressions are obtained that take into account the effect of the diamagnetic interaction on line intensities. The role of the diamagnetic interaction increases in Rydberg atomic states with a large spin-orbit splitting. For the states with m > 0, it can lead to the “diamagnetic reversal” of the Paschen-Back effect, i.e., the recovery of the anomalous Zeeman effect.

Optics and SpectroscopyDec 1, 20002 citations

Manipulation of heteronuclear spin dynamics with microwave and vector light shift

Lintao Li, Bing Zhu, Bo Lü +2 more

We report the observation and manipulation of heteronuclear spin dynamics in a spin-1 mixture of ultracold $^{87}\mathrm{Rb}$ and $^{23}\mathrm{Na}$ atoms. The dynamics is driven by the interspecies spin-dependent interaction and shows a pronounced dependence on magnetic fields with influences from both linear and quadratic Zeeman shifts. Similar to the well-studied homonuclear cases, the interspecies spin dynamics can be controlled by tuning the quadratic Zeeman shift with far-detuned microwave fields. In addition, we successfully realize spin dynamics' control with vector light shifts which act as a species-selective effective magnetic field on $^{87}\mathrm{Rb}$ atoms. Both methods show negligible loss of atoms thus will be powerful techniques for investigating spin dynamics with fast temporal and high spatial resolutions.We report the observation and manipulation of heteronuclear spin dynamics in a spin-1 mixture of ultracold $^{87}\mathrm{Rb}$ and $^{23}\mathrm{Na}$ atoms. The dynamics is driven by the interspecies spin-dependent interaction and shows a pronounced dependence on magnetic fields with influences from both linear and quadratic Zeeman shifts. Similar to the well-studied homonuclear cases, the interspecies spin dynamics can be controlled by tuning the quadratic Zeeman shift with far-detuned microwave fields. In addition, we successfully realize spin dynamics' control with vector light shifts which act as a species-selective effective magnetic field on $^{87}\mathrm{Rb}$ atoms. Both methods show negligible loss of atoms thus will be powerful techniques for investigating spin dynamics with fast temporal and high spatial resolutions.

arXiv:2005.06098Physical Review AMay 7, 202011 citations

Quadratic Zeeman effect and l-mixing in high Rydberg states of Sr

R. Beigang, W. Makat, Eckart Matthias +2 more

Journal of Physics B Atomic and Molecular PhysicsJul 28, 19843 citations

The orbital

{\mathrm{\ensuremath{\mu}}}_{\mathit{L}}

\ensuremath{\cdot}B and diamagnetic

{\mathit{A}}^{2}

interactions of electrons and positrons with an external magnetic field lead to a small quadratic Zeeman shift in the L=0,

{\mathit{m}}_{\mathit{S}}

=\ifmmode\pm\else\textpm\fi{}1 states of positronium, which, unlike the

{\mathit{m}}_{\mathit{S}}

The linear Zeeman effect in the molecular positronium Ps2 (dipositronium) is predicted for some of

S=1

M=\pm1

states. This result is opposite to the case of the positronium atom; the latter has only quadratic Zeeman effect.

We report the observation and manipulation of heteronuclear spin dynamics in a spin-1 mixture of ultracold

^{87}\mathrm{Rb}

and

^{23}\mathrm{Na}

atoms. The dynamics is driven by the interspecies spin-dependent interaction and shows a pronounced dependence on magnetic fields with influences from both linear and quadratic Zeeman shifts. Similar to the well-studied homonuclear cases, the interspecies spin dynamics can be controlled by tuning the quadratic Zeeman shift with far-detuned microwave fields. In addition, we successfully realize spin dynamics' control with vector light shifts which act as a species-selective effective magnetic field on

^{87}\mathrm{Rb}

atoms. Both methods show negligible loss of atoms thus will be powerful techniques for investigating spin dynamics with fast temporal and high spatial resolutions.