Rydberg-state mixing in the presence of an external electric field: Comparison of the hydrogen and antihydrogen spectra

Solovyeva, Elena V.

doi:10.1103/physreva.91.042506

Cited by 7 publications

(12 citation statements)

References 30 publications

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“…According to the experiment on measuring the 1s − 2s transition frequency [6,7], the de-excitation process of the metastable 2s state occurs due to the admixture of the 2p state in an external electric field. Thus, the level width of the 2s atomic state is determined by the decay rate in the presence of mixed state, which can be found in [37] (see also [38,39]). It is known that the electric field strength of 475 V/cm completely mixes the 2s and 2p states, which leads to the decay of the 2s state at a rate equal to the 2p − 1s transition probability [37].…”

Section: S − 2s Absorption Profile Asymmetrymentioning

confidence: 99%

“…This estimation is of the order of the experimental error of 10 Hz. However, the width of the 2s mixed state should depend quadratically on the electric field strength [37][38][39]. For example, decreasing the field strength to 10 V/cm used in the experiment [7] immediately gives a value of −6 × 10 −7 Hz.…”

Section: S − 2s Absorption Profile Asymmetrymentioning

confidence: 99%

“…But due to the fact that the action of an electric field leads to immediate decay of the excited 2s−state and that propagation time, which lies in the region τ ∈ [10, 1610] µs [7], is much smaller then the 2s−state lifetime, during the propagation between these two regions one should estimate the level width as the inverse to the propagation time. However, the estimation of the level width in an electric field should rather be attributed to the calculation of the transition probabilities [37][38][39], and the delay corresponds to the control of the 2s population in time. The latter can be considered according to the exponential decay law with the natural level width of the state 2s (assuming that during this time nothing happens to the atom).…”

Section: S − 2s Absorption Profile Asymmetrymentioning

confidence: 99%

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Natural Line Profile Asymmetry

Anikin

Zalialiutdinov

2022

SSRN Journal

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Section: S − 2s Absorption Profile Asymmetrymentioning

confidence: 99%

Section: S − 2s Absorption Profile Asymmetrymentioning

confidence: 99%

Section: S − 2s Absorption Profile Asymmetrymentioning

confidence: 99%

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Natural Line Profile Asymmetry

Anikin

Zalialiutdinov

2022

SSRN Journal

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“…Finally, in [10] the effect of level mixing induced by the blackbody radiation was firstly described theoretically within the rigorous quantum electrodynamic (QED) theory. The mixing effect for the states of opposite parity arising in the presence of an external electric field leads to a significant changes of the decay rates, see, for example, [11,12]. We should note that all effects in the presence of the BBR are similar to the phenomena which take place in an external electric field.…”

mentioning

confidence: 91%

“…∆E L 2p2s represents the Lamb shift between 2s 1/2 and 2p 1/2 levels, the one-photon transition probabilities W M1 2s 1s and W E1 2p 1s correspond to the emission of the magnetic dipole and electric dipole photons, respectively. Integration over photon emission direction n k and frequency of the emitted photon ω = |k| yields the expression [11,12]…”

mentioning

confidence: 99%

Level-mixing effect induced by blackbody radiation and its influence on the cosmological hydrogen recombination problem

Zalialiutdinov¹,

Labzowsky²,

Plunien³

2017

Phys. Rev. A

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Two different effects of the blackbody radiation (BBR)-induced atomic line broadening are compared. The first one (stimulated Raman scattering) was discussed by many authors, the second one (quadratic level mixing) was predicted earlier in our publication. It is shown that the mixing effect gives the most significant contribution to the line broadening and it is indicated how to distinguish these two effects in laboratory experiments. The influence of the level mixing on the recombination history of primordial plasma is also discussed.The influence of external fields on atomic characteristics is still one of the interesting subjects for investigations in modern atomic physics. In particular a question about the blackbody radiation (BBR) influence on atoms is widely discussed. First the BBR induced effects were observed experimentally and then the theoretical description was given in [1,2] within the frameworks of quantum mechanical (QM) approach. In particular, it was shown that the blackbody radiation induces the ac-Stark shift of energy levels and an additional line broadening in atoms. Theoretical calculations of the dynamic Stark shifts and depopulation rates of Rydberg energy levels caused by the BBR and the corresponding experimental measurements were widely discussed in literature [3]- [8]. The most important consequence of these investigations corresponds to the improvement of atomic clocks and the development of optical standards of frequency measurements [9].Finally, in [10] the effect of level mixing induced by the blackbody radiation was firstly described theoretically within the rigorous quantum electrodynamic (QED) theory. The mixing effect for the states of opposite parity arising in the presence of an external electric field leads to a significant changes of the decay rates, see, for example, [11,12]. We should note that all effects in the presence of the BBR are similar to the phenomena which take place in an external electric field. Similar to the Stark (static or dynamic) effect in the presence of 'ordinary' external electric field the energy shift of atomic levels induced by the BBR can be estimated with the use of rootmean square value of the field strength of thermal radiation (in a.u.):where E 2 (ω) is rms electric field strength, ω is the radiation frequency. The Planck's distribution function is presented by n β (ω) with β = 1/k B T , k B is the Boltzman's constant, T is the temperature in Kelvin and α is the fine structure constant. Then the integral rms value of electric field isIn conjunction with the expression (2) the level mixing effect induced by the thermal radiation can be introduced. The level mixing effect in an external electric field was considered in connection with the Lamb shift measurements in hydrogen and hydrogen-like ions [13,14] and the corresponding theoretical analysis of the electric field influence on atomic levels can be found in [15,16]. An accurate description of level mixing effect in hydrogen atom was given in [17]. In particular, the authors of [17] have sh...

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