Evaluation of the 
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-odd Faraday effect in Xe and Hg atoms

Chubukov, D. V.; Skripnikov, L. V.; Labzowsky, L. N.; Kutuzov, V. N.; Chekhovskoi, S. D.

doi:10.1103/physreva.99.052515

Cited by 9 publications

(13 citation statements)

References 55 publications

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“…(2) The second transition of E1 type is from the ground 6s 2 ( 1 S 0 ) to the metastable 6s6p( 3 P 1 ) state with λ = 254 nm. According to [42],…”

Section: Hg Atom (Z = 80)mentioning

confidence: 99%

“…The last considered example is the E1 transition from the metastable ( 2 P 0 3/2 )6s[3/2] 0 2 state to the excited ( 2 P 0 3/2 )6p[1/2] 1 state of the xenon atom with λ = 980 nm The population of the lower metastable level can be obtained with the laser pumping [38]. The eEDM enhancement factors were calculated in [42] and R i d + R f d = (113 + (−48)) = 65. In [42] R d factors are presented for definite hyperfine levels.…”

Section: Cs Atom (Z = 55)mentioning

confidence: 99%

“…The eEDM enhancement factors were calculated in [42] and R i d + R f d = (113 + (−48)) = 65. In [42] R d factors are presented for definite hyperfine levels. Here these values are recalculated for the levels i, J|M J | and f , J |M J |.…”

Section: Cs Atom (Z = 55)mentioning

confidence: 99%

“…Such calculations of matrix elements (10) as well as transition amplitudes in the numerator of Equation (5) for atoms under consideration were performed in Refs. [18,42]. For this the relativistic coupled cluster method within the Dirac-Coulomb Hamiltonian has been used.…”

Section: Introductionmentioning

confidence: 99%

“…Please note that the results for the P,T -odd Faraday rotation signal given in [18] were overestimated for electric dipole (E1) transitions due to neglect of the natural line width. Calculations of the enhancement factors and the corresponding P,T -odd Faraday effect for the Xe and Hg atoms considered in [38] as most suitable objects for the optical cavity experiments was performed in [42]. In the present paper we outline the theory of the P,T -odd Faraday optical rotation and give estimates of the effect for different atomic species.…”

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confidence: 99%

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Optical Rotation Approach to Search for the Electric Dipole Moment of the Electron

Chubukov

Skripnikov

Kutuzov

et al. 2019

Atoms

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The P,T -odd Faraday effect (i.e., rotation of the polarization plane of light propagating through a medium in presence of the external electric field due to P, T symmetry violating interactions) is considered for several atomic species: Ra, Pb, Tl, Hg, Cs, and Xe. Corresponding theoretical simulation of P,T -odd Faraday experiment, with already achieved intracavity absorption spectroscopy characteristics and parameters, is performed. The results show that the magnetic dipole transitions in the Tl and Pb atoms as well as the electric dipole transitions in the Ra, Hg and Cs atoms are favorable for the observation of the P,T -odd Faraday optical rotation. The estimation of the rotation angle of the light polarization plane demonstrates that recently existing boundaries for the electron electric dipole moment can be improved by one-two orders of magnitude.ThO molecule (d e < 0.87 × 10 −28 e cm [12], d e < 1.1 × 10 −29 e cm [13]), and HfF + molecular ion (d e < 1.3 × 10 −28 e cm) [14] (e is the electron charge). However, to extract the eEDM values from the experimental data, the accurate calculations of the eEDM enhancement coefficients are required. These calculations were performed for Tl in [15][16][17][18], for YbF in [19][20][21][22], for ThO in [23][24][25][26] and for HfF + in [27][28][29][30].The optical rotation experiments to study spatial parity nonconserving (PNC) effects (that is to say, the rotation of the light polarization plane in atomic or molecular vapors that do not possess natural optical activity) were originally proposed in [31] for hydrogen atom where parity nonconservation is very small. After a while in 1974 a new proposal with the Bi atom was discussed [32]. In addition, the first successful optical rotation experiment on the PNC effect observation in Bi was performed in 1978 [33]. What concerns the experiment on the search for the P,T symmetry violation effects, all of them up to now are advancing in two directions: the shift of the magnetic resonance in an external electric field [10] and the electron spin precession in an external electric field [11][12][13][14]. Since the recent experimental bound for the eEDM is still 9 orders of magnitude larger than the maximum theoretical prediction of the SM, other methods of the observation of such effects are of interest. The optical rotation in an external electric field can be referred to as the P,T -odd analogue of the Faraday effect (the latter is the optical rotation in an external magnetic field). Unlike the ordinary Faraday effect, in an external electric field such optical rotation can arise only due to the violation of P and T symmetries. In [34] the possible existence of such an effect was discussed. Measurement of the eEDM using the Faraday rotation technique was suggested in [35]. Different theoretical and experimental studies were directed to observe it (see, e.g., short review [36]). Recently, in [37] the possibility of the P,T -odd Faraday effect observation by means of the cavity-enhanced technique and intracavity absorption spect...

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“…(2) The second transition of E1 type is from the ground 6s 2 ( 1 S 0 ) to the metastable 6s6p( 3 P 1 ) state with λ = 254 nm. According to [42],…”

Section: Hg Atom (Z = 80)mentioning

confidence: 99%

Section: Cs Atom (Z = 55)mentioning

confidence: 99%

Section: Cs Atom (Z = 55)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Optical Rotation Approach to Search for the Electric Dipole Moment of the Electron

Chubukov

Skripnikov

Kutuzov

et al. 2019

Atoms

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show abstract

P,T-odd Faraday rotation in intracavity absorption spectroscopy with particle beam as a possible way to improve the sensitivity of the search for the time reflection noninvariant effects in nature

et al. 2021

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Photon-spin-dependent contribution to the P,T -odd Faraday rotation effect for atoms

Chekhovskoi¹,

Chubukov²,

Skripnikov³

et al. 2021

J. Phys. B: At. Mol. Opt. Phys.

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The photon-spin-dependent (PS) contribution to the ordinary Faraday effect—optical rotation in an external magnetic field H ⃗ is well known. This contribution is proportional to factor ( s ⃗ p h ⋅ H ⃗ ) where s ⃗ p h is the photon spin. Recently a P , T -odd Faraday effect—optical rotation in an external electric field E ⃗ —was discussed as a promising tool for observation of the electron electric dipole moment in the intra-cavity absorption spectroscopy. In the present paper, we introduce the PS contribution to the P , T -odd Faraday rotation effect. This contribution is proportional to ( s ⃗ p h ⋅ E ⃗ ) and has to be taken into account in the calculations of the P , T -odd Faraday effect.

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Evaluation of the P, T -odd Faraday effect in Xe and Hg atoms

Cited by 9 publications

References 55 publications

Optical Rotation Approach to Search for the Electric Dipole Moment of the Electron

Optical Rotation Approach to Search for the Electric Dipole Moment of the Electron

P,T-odd Faraday rotation in intracavity absorption spectroscopy with particle beam as a possible way to improve the sensitivity of the search for the time reflection noninvariant effects in nature

Photon-spin-dependent contribution to the P,T -odd Faraday rotation effect for atoms

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