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Title: Polarisation and dispersion properties of light shifts in ultrastable optical frequency standards

Abstract

The theoretical aspects of the Stark spectroscopy of cold alkaline-earth atoms in a three-dimensional optical lattice related to the development of ultrastable optical frequency standards of a new generation are considered. The main attention is devoted to the dispersion and polarisation properties of the light frequency shift in these atoms, which depend on the power, frequency, and polarisation of lasers forming the optical lattice. The 'light-shift-cancellation' regime is considered in detail, in which the second-order dynamic Stark shifts at the forbidden clock {sup 3}P{sub 0} - {sup 1}S{sub 0} and {sup 3}P{sub 1} - {sup 1}S{sub 0} transitions are mutually compensated. The wavelengths at which this regime takes place ('magic' wavelengths) are calculated for the He, Be, Mg, Ca, Sr, Yb, and Hg atoms. The fourth-order dynamic susceptibilities (hyperpolarisabilities) are calculated for Sr atoms and the contribution of higher-order multipole corrections to the dynamic polarisability of the {sup 3}P{sub 0} and {sup 1}S{sub 0} levels is estimated. (invited paper)

Authors:
 [1];  [2]; ;  [3]
  1. Department of Physics, Voronezh State University, Voronezh (Russian Federation)
  2. Institute of Time and Space Metrology, Federal State Unitary Enterprise 'National Research Institute of Physicotechnical and Radiotechnical Measurements' (IMVP, FGUP VNIFTRI), Mendeleevo, Moscow Region (Russian Federation)
  3. Engineering Research Institute, the University of Tokyo, Bunkyo-ku, Tokyo (Japan)
Publication Date:
OSTI Identifier:
21456839
Resource Type:
Journal Article
Resource Relation:
Journal Name: Quantum Electronics (Woodbury, N.Y.); Journal Volume: 36; Journal Issue: 1; Other Information: DOI: 10.1070/QE2006v036n01ABEH013098
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALKALINE EARTH ISOTOPES; CORRECTIONS; CRYSTAL LATTICES; DISPERSIONS; POLARIZABILITY; POLARIZATION; SPECTRAL SHIFT; SPECTROSCOPY; STARK EFFECT; THREE-DIMENSIONAL CALCULATIONS; VISIBLE RADIATION; WAVELENGTHS; CRYSTAL STRUCTURE; ELECTRICAL PROPERTIES; ELECTROMAGNETIC RADIATION; ISOTOPES; PHYSICAL PROPERTIES; RADIATIONS

Citation Formats

Ovsyannikov, V D, Pal'chikov, Vitalii G, Katori, H, and Takamoto, M. Polarisation and dispersion properties of light shifts in ultrastable optical frequency standards. United States: N. p., 2006. Web. doi:10.1070/QE2006V036N01ABEH013098.
Ovsyannikov, V D, Pal'chikov, Vitalii G, Katori, H, & Takamoto, M. Polarisation and dispersion properties of light shifts in ultrastable optical frequency standards. United States. doi:10.1070/QE2006V036N01ABEH013098.
Ovsyannikov, V D, Pal'chikov, Vitalii G, Katori, H, and Takamoto, M. Tue . "Polarisation and dispersion properties of light shifts in ultrastable optical frequency standards". United States. doi:10.1070/QE2006V036N01ABEH013098.
@article{osti_21456839,
title = {Polarisation and dispersion properties of light shifts in ultrastable optical frequency standards},
author = {Ovsyannikov, V D and Pal'chikov, Vitalii G and Katori, H and Takamoto, M},
abstractNote = {The theoretical aspects of the Stark spectroscopy of cold alkaline-earth atoms in a three-dimensional optical lattice related to the development of ultrastable optical frequency standards of a new generation are considered. The main attention is devoted to the dispersion and polarisation properties of the light frequency shift in these atoms, which depend on the power, frequency, and polarisation of lasers forming the optical lattice. The 'light-shift-cancellation' regime is considered in detail, in which the second-order dynamic Stark shifts at the forbidden clock {sup 3}P{sub 0} - {sup 1}S{sub 0} and {sup 3}P{sub 1} - {sup 1}S{sub 0} transitions are mutually compensated. The wavelengths at which this regime takes place ('magic' wavelengths) are calculated for the He, Be, Mg, Ca, Sr, Yb, and Hg atoms. The fourth-order dynamic susceptibilities (hyperpolarisabilities) are calculated for Sr atoms and the contribution of higher-order multipole corrections to the dynamic polarisability of the {sup 3}P{sub 0} and {sup 1}S{sub 0} levels is estimated. (invited paper)},
doi = {10.1070/QE2006V036N01ABEH013098},
journal = {Quantum Electronics (Woodbury, N.Y.)},
number = 1,
volume = 36,
place = {United States},
year = {Tue Jan 31 00:00:00 EST 2006},
month = {Tue Jan 31 00:00:00 EST 2006}
}
  • The light frequency shifts induced by an external laser field are calculated for the spin-forbidden {sup 3}P{sub J}-{sup 1}S{sub 0} transitions in Mg, Sr, and Yb atoms. The calculations are performed within the framework of the perturbation theory using experimentally measured transition energies. The calculations of the higher-order dynamic Stark effect were initiated by precision measurements of trapped and cooled atoms as well as by the development of a highly stable optical atomic clock. The dispersion properties of the polarisability and hyperpolarisability components are analysed in the vicinity of resonances and so-called cross points for the ground and excited atomicmore » levels. The radial matrix elements were calculated by the Green function method for the model potential.« less
  • Sum-frequency generation from the surface of an isotropic gyrotropic medium by two normally incident homogeneously elliptically polarised Gaussian beams is studied theoretically. Analytic expressions, completely describing the transverse spatial distribution of the intensity and polarisation in the cross section of the reflected beam at the sum frequency, were derived taking into account both the local and nonlocal contributions of the quadratic nonlinearity of the medium thicknesses and the nonlinear contribution of its surface. It is shown that a special selection of the parameters of the fundamental waves allows one to determine components of the surface susceptibility tensor. (special issue devotedmore » to the 80th birthday of S.A. Akhmanov)« less
  • The present work tests the suitability of the narrow transitions 7s {sup 2}S{sub 1/2}{yields}6d {sup 2}D{sub 3/2} and 7s {sup 2}S{sub 1/2}{yields}6d {sup 2}D{sub 5/2} in Ra{sup +} for optical frequency standard studies. Our calculations of the lifetimes of the metastable 6d states using the relativistic coupled-cluster theory suggest that they are sufficiently long for Ra{sup +} to be considered as a potential candidate for an atomic clock. This is further corroborated by our studies of the hyperfine interactions, dipole and quadrupole polarizabilities, and quadrupole moments of the appropriate states of this system.
  • An investigation is reported of the influence of losses and of thermal noise in a cubically nonlinear medium with a periodically inhomogeneous linear susceptibility on the generation of polarisation-squeezed light. Calculations are reported of the mean Stokes radiation parameters and of their variances. It is shown that the presence of losses is responsible for the existence of an interaction length optimal for suppression of fluctuations. (nonlinear optical phenomena and devices)
  • The polarisation beats accompanying decay of LP-mode groups in multimode optical fibres with a step refractive index profile are considered. The theoretical dependences of the degree of linear polarisation on the optical fibre length and light exit angle are determined based on the waveguide properties of these groups. The results obtained are compared with the existing theoretical concepts. It is shown that the light emerging from a multimode optical fibre near its axis can retain linear polarisation in fibres up to several meters long. Some experimental results are reported, which confirm the basic theoretical conclusions. (optical fibres)