Physical Review Letters

Quantum Beats in Hydrogen and Antihydrogen Atoms in an External Electric Field

Leonti N Labzowsky, V. Sharipov

Published Mar 31, 2004• 4 citations

Abstract

An effect of quantum beats that arises due to the coherent excitation of 2s and 2p states of hydrogen and antihydrogen atoms in an external electric field is described. It is shown that the quantum beat signal contains terms linear in electric field, i.e., is of opposite sign for the hydrogen and antihydrogen atoms. The conditions for the observation of this effect are discussed.

DOI: 10.1103/physrevlett.92.133003

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Physical Review Letters

Quantum Beats in Hydrogen and Antihydrogen Atoms in an External Electric Field

Leonti N Labzowsky, V. Sharipov

Published Mar 31, 2004• 4 citations

Publisher

Abstract

DOI: 10.1103/physrevlett.92.133003

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arXiv:0904.1503Journal of Physics B Atomic Molecular and Optical PhysicsMar 19, 201018 citations

The probabilities of single-photon 2s–1s transition in hydrogen (H) and antihydrogen (

\bar H

) atoms in an external electric field are calculated. These quantities are different for H and

\bar H

due to the presence of a T odd term linearly dependent on the electric field strength. The relative difference between the probabilities of the considered process for hydrogen and antihydrogen is given, and the conditions under which this difference can be measured are discussed.

The probabilities of two-photon decay for hydrogen (H) and antihydrogen (

\bar H

) atoms in the presence and absence of an external electric field are analytically calculated. In particular, the probabilities of the E1E2 and E1M1 transitions between the 2p and 1s levels are calculated for the case when emitted photons are characterized by polarization vectors and wavevectors. It is shown that, in an external electric field, the decay probabilities for 2s and 2p levels differ for H and

\bar H

atoms because of interference terms linear in field. Coulomb Green’s function method is used for summing over intermediate states.

S

and

P

states in the beam-foil process. For the case where the electric field is applied parallel to the beam, the coherentexcitation contributions can be separated experimentally from those resulting purely from coherence produced by the electric field, by simply reversing the direction of the electric field.

We analyze the influence of an external electric field on the

ns

and

np

Rydberg states. The impact of an electric field leads to a significant modification of the decay rate. Namely, the additional (linear and quadratic in the field) terms arise in the differential transition probabilities. In contrast to the quadratic term, the linear summand leads to a difference of the hydrogen

(\text{H})

and antihydrogen

(\overline{\text{H}})

spectra. However, this difference vanishes after the integration over photon-emission directions and does not contribute to the total emission probability. The quadratic term results in the significant change of the total decay rate and level width, respectively. The analysis of the linear and quadratic terms depending on the field strength is discussed.