Black-body radiation shifts and theoretical contributions to atomic clock research

Safronova, M. S.; Jiang, Dansha; Arora, Bindiya; Clark, Charles W.; Kozlov, M. G.; Safronova, U. I.; Johnson, W. R.

doi:10.1109/tuffc.2010.1384

Cited by 37 publications

(36 citation statements)

References 48 publications

(87 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We note that t (m+1) is not included in the linear combination (A2), but is used to construct matrices such as shown in Eqs. (20) and (21). Therefore, t (m+1) needs to be also found through the CIS.…”

Section: Discussionmentioning

confidence: 99%

Resolving all-order method convergence problems for atomic physics applications

et al. 2011

View full text Add to dashboard Cite

The development of the relativistic all-order method where all single, double, and partial triple excitations of the Dirac-Hartree-Fock wave function are included to all orders of perturbation theory led to many important results for study of fundamental symmetries, development of atomic clocks, ultracold atom physics, and others, as well as provided recommended values of many atomic properties critically evaluated for their accuracy for large number of monovalent systems. This approach requires iterative solutions of the linearized coupled-cluster equations leading to convergence issues in some cases where correlation corrections are particularly large or lead to an oscillating pattern. Moreover, these issues also lead to similar problems in the CI+all-order method for many-particle systems. In this work, we have resolved most of the known convergence problems by applying two different convergence stabilizer methods, reduced linear equation (RLE) and direct inversion of iterative subspace (DIIS). Examples are presented for B, Al, Zn + , and Yb + . Solving these convergence problems greatly expands the number of atomic species that can be treated with the all-order methods and is anticipated to facilitate many interesting future applications.

show abstract

Section: Discussionmentioning

confidence: 99%

Resolving all-order method convergence problems for atomic physics applications

et al. 2011

View full text Add to dashboard Cite

show abstract

“…We use our value of the scalar Stark shift coefficient to calculate the quantity β defined as β = k S ν 0 (831.9 V/m) 2 (8) to be −1.256(4) × 10 −14 .…”

Section: Bbr Shift Uncertaintymentioning

confidence: 99%

“…[8] for the review of the present status of BBR shift uncertainties for all atomic clocks). The most recent value of the BBR shift in the Rb microwave frequency standard is accurate to 1% [9].…”

Section: Introductionmentioning

confidence: 99%

Blackbody radiation shift in theRb87frequency standard

2010

View full text Add to dashboard Cite

The operation of atomic clocks is generally carried out at room temperature, whereas the definition of the second refers to the clock transition in an atom at absolute zero. This implies that the clock transition frequency should be corrected in practice for the effect of finite temperature, of which the leading contributor is the blackbody radiation (BBR) shift. Experimental measurements of the BBR shifts are difficult. In this work, we have calculated the blackbody radiation shift of the ground-state hyperfine microwave transition in 87 Rb using the relativistic all-order method and carried out a detailed evaluation of the accuracy of our final value. Particular care is taken to accurately account for the contributions from highly excited states. Our predicted value for the Stark coefficient, k S = −1.240(4) × 10 −10 Hz/(V/m) 2 , is three times more accurate than the previous calculation [E. J. Angstman, V. A. Dzuba, and V. V. Flambaum, Phys. Rev. A 74, 023405 (2006)].

show abstract

“…Experimental measurements of the BBR shifts are sufficiently difficult that no direct measurement has yet been reported for optical frequency standards. At room temperature, the BBR shift of a clock transition turns out to make one of the largest irreducible contributions to the uncertainty budget of optical atomic clocks [3]. The present status of the theoretical and experimental determinations of the BBR shifts in all frequency standards was recently reviewed in [3,4].…”

Section: Introductionmentioning

confidence: 99%

Anomalously small blackbody radiation shift in the Tl+frequency standard

2012

View full text Add to dashboard Cite

The operation of atomic clocks is generally carried out at room temperature, whereas the definition of the second refers to the clock transition in an atom at absolute zero. This implies that the clock transition frequency should be corrected in practice for the effect of finite temperature of which the leading contributor is the blackbody radiation (BBR) shift. In the present work, we used configuration interaction + coupled-cluster method to evaluate polarizabilities of the 6s 2 1 S0 and 6s6p 3 P0 states of Tl + ion; we find α0( 1 S0) = 19.6 a.u. and α0( 3 P0) = 21.4 a.u.. The resulting BBR shift of the 6s6p 3 P0 − 6s 2 1 S0 Tl + transition at 300 K is ∆νBBR = −0.0157( 16) Hz. This result demonstrates that near cancelation of the 1 S0 and 3 P0 state polarizabilities in divalent B + , Al + , In + ions of group IIIB [Safronova et al., PRL 107, 143006 (2011)] continues for much heavier Tl + , leading to anomalously small BBR shift for this system. This calculation demonstrates that the BBR contribution to the fractional frequency uncertainty of the Tl + frequency standard at 300 K is 1 × 10 −18 . We find that Tl + has the smallest fractional BBR shift among all present or proposed frequency standards with the exception of Al + .

show abstract

Black-body radiation shifts and theoretical contributions to atomic clock research

Cited by 37 publications

References 48 publications

Resolving all-order method convergence problems for atomic physics applications

Resolving all-order method convergence problems for atomic physics applications

Blackbody radiation shift in theRb87frequency standard

Anomalously small blackbody radiation shift in the Tl+frequency standard

Contact Info

Product

Resources

About