- Letter
- Open Access
Blackbody radiation shift in strontium lattice clocks revisited
Phys. Rev. Research 3, L042036 – Published 9 December, 2021
DOI: https://doi.org/10.1103/PhysRevResearch.3.L042036
Abstract
We reevaluate the blackbody radiation (BBR) induced ac-Stark shift of the strontium clock transition at used as reference in optical lattice clocks and as secondary representation of the SI unit “second.” At room temperature, this frequency shift is on the order of of the transition frequency and causes the largest correction in strontium lattice clocks. With the ongoing reduction of measurement uncertainties of optical clocks, an assessment of the approximations made in the evaluation of the BBR shift is advised. Our reevaluation leads to an increase of the BBR correction by for clock operation at , considerably larger than its present uncertainty of . Consistently describing accurately known atomic properties with an atomic structure model, we reduce the fractional uncertainty of the atomic response to at , which allows operating Sr lattice clocks with an uncertainty of at room temperature.
Physics Subject Headings (PhySH)
Article Text
References (44)
- C. Sanner, N. Huntemann, R. Lange, C. Tamm, E. Peik, M. S. Safronova, and S. G. Porsev, Optical clock comparison test of Lorentz symmetry, Nature (London) 567, 204 (2019).
- W. F. McGrew, X. Zhang, H. Leopardi, R. J. Fasano, D. Nicolodi, K. Beloy, J. Yao, J. A. Sherman, S. A. Schäffer, J. Savory, R. C. Brown, S. Römisch, C. W. Oates, T. E. Parker, T. M. Fortier, and A. D. Ludlow, Towards the optical second: Verifying optical clocks at the SI limit, Optica 6, 448 (2019).
- S. M. Brewer, J.-S. Chen, A. M. Hankin, E. R. Clements, C. W. Chou, D. J. Wineland, D. B. Hume, and D. R. Leibrandt, Quantum-Logic Clock with a Systematic Uncertainty below , Phys. Rev. Lett. 123, 033201 (2019).
- T. Bothwell, D. Kedar, E. Oelker, J. M. Robinson, S. L. Bromley, W. L. Tew, J. Ye, and C. J. Kennedy, JILA SrI optical lattice clock with uncertainty of , Metrologia 56, 065004 (2019).
- S. G. Porsev and A. Derevianko, Multipolar theory of blackbody radiation shift of atomic energy levels and its implications for optical lattice clocks, Phys. Rev. A 74, 020502(R) (2006).
- F. Riehle, Towards a redefinition of the second based on optical atomic clocks, C. R. Phys. 16, 506 (2015), special issue on The measurement of time/La mesure du temps.
- W. M. Itano, L. L. Lewis, and D. J. Wineland, Shift of hyperfine splittings due to blackbody radiation, Phys. Rev. A 25, 1233 (1982).
- A. Bauch and R. Schröder, Experimental Verification of the Shift of the Cesium Hyperfine Transition Frequency due to Blackbody Radiation, Phys. Rev. Lett. 78, 622 (1997).
- T. Middelmann, S. Falke, C. Lisdat, and U. Sterr, High Accuracy Correction of Blackbody Radiation Shift in an Optical Lattice Clock, Phys. Rev. Lett. 109, 263004 (2012).
- M. S. Safronova, S. G. Porsev, U. I. Safronova, M. G. Kozlov, and C. W. Clark, Blackbody radiation shift in the Sr optical atomic clock, Phys. Rev. A 87, 012509 (2013).
- T. L. Nicholson, S. L. Campbell, R. B. Hutson, G. E. Marti, B. J. Bloom, R. L. McNally, W. Zhang, M. D. Barrett, M. S. Safronova, G. F. Strouse, W. L. Tew, and J. Ye, Systematic evaluation of an atomic clock at total uncertainty, Nat. Commun. 6, 6896 (2015).
- R. Hobson, W. Bowden, A. Silva, C. F. A. Baynham, H. S. Margolis, P. E. G. Baird, P. Gill, and I. R. Hill, A strontium optical lattice clock with uncertainty and measurement of its absolute frequency, Metrologia 57, 065026 (2020).
- I. Ushijima, M. Takamoto, M. Das, T. Ohkubo, and H. Katori, Cryogenic optical lattice clocks, Nat. Photon. 9, 185 (2015).
- M. Takamoto, I. Ushijima, N. Ohmae, T. Yahagi, K. Kokado, H. Shinkai, and H. Katori, Test of general relativity by a pair of transportable optical lattice clocks, Nat. Photon. 14, 411 (2020).
- J. A. Sherman, N. D. Lemke, N. Hinkley, M. Pizzocaro, R. W. Fox, A. D. Ludlow, and C. W. Oates, High Accuracy Measure of Atomic Polarizability in an Optical Lattice Clock, Phys. Rev. Lett. 108, 153002 (2012).
- K. Beloy, J. A. Sherman, N. D. Lemke, N. Hinkley, C. W. Oates, and A. D. Ludlow, Determination of the state lifetime and blackbody-radiation clock shift in Yb, Phys. Rev. A 86, 051404(R) (2012).
- J. W. Farley and W. H. Wing, Accurate calculation of dynamic Stark shifts and depopulation rates of Rydberg energy levels induced by blackbody radiation. Hydrogen, helium, and alkali-metal atoms, Phys. Rev. A 23, 2397 (1981).
- C. Lisdat, S. Dörscher, I. Nosske, and U. Sterr, Open dataset.
- M. Yasuda, T. Kishimoto, M. Takamoto, and H. Katori, Photoassociation spectroscopy of : Reconstruction of the wave function near the last node, Phys. Rev. A 73, 011403(R) (2006).
- J. E. Sansonetti and G. Nave, Wavelengths, transition probabilities, and energy levels for the spectrum of neutral strontium (Sr I), J. Phys. Chem. Ref. Data 39, 033103 (2010).
- G. von Oppen, Doppelresonanzuntersuchung des Einflusses eines elektrischen Feldes auf die Zeeman-Aufspaltung des -Terms im Sr -Spektrum, Z. Phys. 227, 207 (1969).
- H. Bethe and E. Salpeter, Quantum mechanics of one- and two-electron systems, in Handbuch der Physik, edited by S. Flügge (Springer, Berlin, 1957), Vol. XXXV.
- Yu. Ralchenko, A. E. Kramida, J Reader, NIST Atomic Spectra Database (version 4), http://www.nist.gov/pml/data/asd.cfm.
- H. L. Schwartz, T. M. Miller, and B. Bederson, Measurement of the static electric dipole polarizabilities of barium and strontium, Phys. Rev. A 10, 1924 (1974).
- B. K. Sahoo and B. P. Das, Relativistic coupled-cluster studies of dipole polarizabilities in closed-shell atoms, Phys. Rev. A 77, 062516 (2008).
- Y. Singh, B. K. Sahoo, and B. P. Das, Correlation trends in the ground-state static electric dipole polarizabilities of closed-shell atoms and ions, Phys. Rev. A 88, 062504 (2013).
- P. Schwerdtfeger and J. K. Nagle, 2018 table of static dipole polarizabilities of the neutral elements in the periodic table, Mol. Phys. 117, 1200 (2019).
- C. Shi, J.-L. Robyr, U. Eismann, M. Zawada, L. Lorini, R. Le Targat, and J. Lodewyck, Polarizabilities of the clock transition, Phys. Rev. A 92, 012516 (2015).
- R. Le Targat, L. Lorini, Y. Le Coq, M. Zawada, J. Guéna, M. Abgrall, M. Gurov, P. Rosenbusch, D. G. Rovera, B. Nagórny, R. Gartman, P. G. Westergaard, M. E. Tobar, M. Lours, G. Santarelli, A. Clairon, S. Bize, P. Laurent, P. Lemonde, and J. Lodewyck, Experimental realization of an optical second with strontium lattice clocks, Nat. Commun. 4, 2109 (2013).
- M. Takamoto, H. Katori, S. I. Marmo, V. D. Ovsiannikov, and V. G. Pal'chikov, Prospects for Optical Clocks with a Blue-Detuned Lattice, Phys. Rev. Lett. 102, 063002 (2009).
- I. Ushijima, M. Takamoto, and H. Katori, Operational Magic Intensity for Sr Optical Lattice Clocks, Phys. Rev. Lett. 121, 263202 (2018).
- A. Heinz, A. J. Park, N. Šantić, J. Trautmann, S. G. Porsev, M. S. Safronova, I. Bloch, and S. Blatt, State-Dependent Optical Lattices for the Strontium Optical Qubit, Phys. Rev. Lett. 124, 203201 (2020).
- X. Baillard, M. Fouché, R. Le Targat, P. G. Westergaard, A. Lecallier, Y. Le Coq, G. D. Rovera, S. Bize, and P. Lemonde, Accuracy evaluation of an optical lattice clock with bosonic atoms, Opt. Lett. 32, 1812 (2007).
- T. Akatsuka, M. Takamoto, and H. Katori, Optical lattice clocks with non-interacting bosons and fermions, Nat. Phys. 4, 954 (2008).
- Q. Xu, X. Lu, J. Xia, Y. Wang, and H. Chang, Measurement of the probe Stark shift of the optical lattice clock using the frequency modulation spectroscopy, Appl. Phys. Lett. 119, 101105 (2021).
- E. U. Condon and G. H. Shortley, The Theory of Atomic Spectra (Cambridge University Press, Cambridge, UK, 1953).
- G. García and J. Campos, Transition probabilities for triplet levels of Sr(I), J. Quant. Spectrosc. Radiat. Transfer 39, 477 (1988).
- G. Jönsson, C. Levinson, A. Persson, and C. G. Wahlström, Natural radiative lifetimes in the and sequences of Sr I, Z. Phys. A 316, 255 (1984).
- H. G. C. Werij, C. H. Greene, C. E. Theodosiou, and A. Gallagher, Oscillator strengths and radiative branching ratios in atomic Sr, Phys. Rev. A 46, 1248 (1992).
- F. M. Kelly and M. S. Mathur, Lifetimes of some triplet levels of neutral strontium, Can. J. Phys. 54, 800 (1976).
- S. G. Porsev, A. D. Ludlow, M. M. Boyd, and J. Ye, Determination of Sr properties for a high-accuracy optical clock, Phys. Rev. A 78, 032508 (2008).
- GUM, Guide to the expression of uncertainty in measurement, ISO/TAG 4 (ISO, 1993, corrected and reprinted, 1995, in the name of the BIPM, IEC, IFCC, ISO, UPAC, IUPAP and OIML (1995), available at www.bipm.org/en/committees/jc/jcgm/publications.
- A. J. Park, J. Trautmann, N. Šantić, V. Klüsener, A. Heinz, I. Bloch, and S. Blatt, Cavity-enhanced optical lattices for scaling neutral atom quantum technologies, arXiv:2110.08073.
- NIST Digital Library of Mathematical Functions, edited by F. W. J. Olver, A. B. Olde Daalhuis, D. W. Lozier, B. I. Schneider, R. F. Boisvert, C. W. Clark, B. R. Miller, B. V. Saunders, H. S. Cohl, and M. A. McClain (Cambridge University Press, Cambridge, UK, 2010).