Effect of higher multipole transitions in the two-photon decay spectrum of metastable hydrogen

Au, C. K.

doi:10.1103/physreva.14.531

Cited by 27 publications

(41 citation statements)

References 8 publications

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“…As seen from Tables II and III, for example, the probability of the 1s → 2s two-photon absorption is decreased only by about 2% for Xe 53+ and by 6% for U 91+ if, apart from the leading 2E1 channel, the nondipole terms are taken into account. This reduction, which was also predicted for the two-photon decay of the 2s metastable state [27,49], arises mainly from the interference between the 2E1, 2M1, and 2E2 multipole components as can be deduced from Eq. (14),…”

Section: A Two-photon Absorption Of Hydrogenlike Ionssupporting

confidence: 63%

Two-photon absorption of few-electron heavy ions

et al. 2011

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The two-photon absorption of few-electron ions has been studied by using second-order perturbation theory and Dirac's relativistic equation. Within this framework, the general expressions for the excitation cross sections and rates are derived including a full account of the higher-order multipole terms in the expansion of the electron-photon interaction. While these expressions can be applied to any ion, independent of its particular shell structure, detailed computations are carried out for the two-photon absorption of hydrogen-, helium-, and berylliumlike ions and are compared with the available theoretical and experimental data. The importance of relativistic and nondipole effects in the analysis and computation of induced two-photon transitions is pointed out. Moreover, we discuss the potential of these transitions for atomic parity-violation studies in the high-Z domain.

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Section: A Two-photon Absorption Of Hydrogenlike Ionssupporting

confidence: 63%

Two-photon absorption of few-electron heavy ions

et al. 2011

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“…Since the foundation of quantum mechanics, the two-photon transitions in the hydrogen atom have been the subject of intense studies both in theory and experiment [1][2][3][4][5][6][7][8][9][10]. While, initially, the main emphasis was placed on the total decay rates and energy distribution of the emitted photon pairs, recently the correlations in the polarization state of the 2s 1/2 → 1s 1/2 photons have been analyzed in detail [11][12][13], following the pioneering experiments by Aspect et al [14].…”

Section: Introductionmentioning

confidence: 99%

Polarization correlation in the two-photon decay of atomic hydrogen: nonlocality versus entanglement

2008

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Abstract. From the work by Perrie et al. [Phys. Rev. Lett. 54, 1790(1985], photon pairs from the 2s 1/2 → 1s 1/2 (two-photon) decay of atomic hydrogen are known to be quantum mechanically correlated. In these experiments, the polarization states of the photons emitted in back-to-back geometry were shown to violate the Bell inequality as a qualitative sign of nonlocality and entanglement. In the present contribution, we analyze how these nonlocal quantum correlations, as given by the violation of the Bell inequality, differ from the concurrence as a true entanglement measure. Results are shown for both quantifiers in dependence of the decay geometry and the initial polarization of the atoms for the 2s 1/2 → 1s 1/2 and 3d 5/2 → 1s 1/2 two-photon decay of atomic hydrogen. These results display the difference between nonlocality and entanglement and, hence, may stimulate further experiments on nonlocal quantum correlations in atomic systems.PACS. 32.10.-f Properties of atoms -31.10.+z Theory of electronic structure, electronic transitions, and chemical binding -03.67.Bg Entanglement production and manipulation -03.65.Ud Entanglement and quantum nonlocality

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“…However, the full multipole calculation shows some asymmetric deviations from such a shape. This effect is already known from the past literature, where it has been shown that high multipoles contribute with terms of the type ∼ cos θ to the angular correlation in 2s 1/2 → 1s 1/2 transitions in highly charged ions [13].…”

Section: Resultsmentioning

confidence: 80%

Angular and polarization analysis for two-photon decay of2shyperfine states of hydrogenlike uranium

et al. 2014

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The amplitude of two-photon transitions between hyperfine states in hydrogenlike ions is derived based on the relativistic Dirac equation and second-order perturbation theory. We study angular and linear polarization properties of the photon pair emitted in the decay of 2s states, where spin-flip and non-spin-flip transitions are highlighted. We pay particular attention to hydrogenlike uranium, since it is an ideal candidate for investigating relativistic and high-multipole effects, such as spin-flip transitions. Two types of emission patterns are identified: (i) non-spin-flip transitions are found to be characterized by an angular distribution of the type W (θ) ∼ 1 + cos 2 θ while the polarizations of the emitted photons are parallel; and (ii) spin-flip transitions have somewhat smaller decay rates and are found to be characterized by an angular distribution of the type W (θ) ∼ 1 − 1/3 cos 2 θ while the polarizations of the emitted photons are orthogonal, where θ is the angle between photons directions. Deviations due to nondipole and relativistic contributions are evaluated for both types of transitions. This work is the first step toward exploring the effect of the nucleus over the angular and polarization properties of the photon pairs emitted by two-photon transitions.

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Effect of higher multipole transitions in the two-photon decay spectrum of metastable hydrogen

Cited by 27 publications

References 8 publications

Two-photon absorption of few-electron heavy ions

Two-photon absorption of few-electron heavy ions

Polarization correlation in the two-photon decay of atomic hydrogen: nonlocality versus entanglement

Angular and polarization analysis for two-photon decay of2shyperfine states of hydrogenlike uranium

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