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We address the problem of the lattice Stark shifts in the Sr clock caused by the multipolar $M1$ and $E2$ atom-field interactions and by the term nonlinear in lattice intensity and determined by the hyperpolarizability. We have developed an…

Atomic Physics · Physics 2018-02-14 S. G. Porsev , M. S. Safronova , U. I. Safronova. , M. G. Kozlov

We apply relativistic many-body methods to compute static differential polarizabilities for transitions inside the ground-state hyperfine manifolds of monovalent atoms and ions. Knowing this transition polarizability is required in a number…

Atomic Physics · Physics 2011-07-13 V. A. Dzuba , V. V. Flambaum , K. Beloy , A. Derevianko

The polarizabilities and hyperpolarizabilities of the Be$^+$ ion in the $2^2S$ state and the $2^2P$ state are determined. Calculations are performed using two independent methods: i) variationally determined wave functions using Hylleraas…

Atomic Physics · Physics 2009-10-21 Li-Yan Tang , Jun-Yi Zhang , Zong-Chao Yan , Ting-Yun Shi , James F. Babb , J. Mitroy

In this article we address the general approach for calculating dynamical dipole polarizabilities of small quantum systems, based on a sum-over-states formula involving in principle the entire energy spectrum of the system. We complement…

Quantum Physics · Physics 2017-07-10 R. Vexiau , D. Borsalino , M. Lepers , A. Orbán , M. Aymar , O. Dulieu , N. Bouloufa-Maafa

We report the implementation of a general-order relativistic coupled-cluster method for performing high-precision calculations of atomic and molecular properties. As a first application, the static dipole polarizabilities of the ground and…

Atomic Physics · Physics 2015-05-20 Mihaly Kallay , B. K. Sahoo , H. S. Nataraj , B. P. Das , Lucas Visscher

The second-order Stark effect for a planar Dirac one-electron atom in the ground state is analyzed within the framework of the Rayleigh-Schr\"odinger perturbation theory, with the use of the Sturmian series expansion of the generalized…

Quantum Physics · Physics 2018-10-24 Radosław Szmytkowski

Because of the potentially large number of important applications of nonlinear optics, researchers have expended a great deal of effort to optimize the second-order molecular nonlinear-optical response, called the hyperpolarizability. The…

Optics · Physics 2015-03-17 David S. Watkins , Mark G. Kuzyk

Polarizability is a key response property of physical and chemical systems, which has an impact on intermolecular interactions, spectroscopic observables, and vacuum polarization. The calculation of polarizability for quantum systems…

A relativistic analysis of the polarization properties of light elastically scattered by atomic hydrogen is performed, based on the Dirac equation and second order perturbation theory. The relativistic atomic states used for the…

Static dipole polarizabilities are calculated in the ground and metastable states of Sr$^+$, Ba$^+$ and Ra$^+$ using the relativistic coupled-cluster method. Trends of the electron correlation effects are investigated in these atomic ions.…

Atomic Physics · Physics 2015-05-14 B. K. Sahoo , R. G. E. Timmermans , B. P. Das , D. Mukherjee

The dynamic dipole polarizabilities for the Li atom and the Be+ ion in the 2s and 2p states are calculated using the variational method with a Hylleraas basis. The present polarizabilities represent the definitive values in the…

Atomic Physics · Physics 2015-05-18 Li-Yan Tang , Zong-Chao Yan , Ting-Yun Shi , J. Mitroy

Atomic polarization phenomena impinge upon a number of areas and processes in physics. The dielectric constant and refractive index of any gas are examples of macroscopic properties that are largely determined by the dipole polarizability.…

Atomic Physics · Physics 2015-05-18 J. Mitroy , M. S. Safronova , Charles W. Clark

An electronically variational approach to the calculation of atomic hyperfine structure transition energies under the influence of static external electric fields is presented. The method avoids the calculation of intermediate atomic states…

Atomic Physics · Physics 2025-08-29 Timo Fleig

Despite being a canonical example of quantum mechanical perturbation theory, as well as one of the earliest observed spectroscopic shifts, the Stark effect contributes the largest source of uncertainty in a modern optical atomic clock…

Atomic Physics · Physics 2012-04-18 J. A. Sherman , N. D. Lemke , N. Hinkley , M. Pizzocaro , R. W. Fox , A. D. Ludlow , C. W. Oates

A rigorous formalism for determining the electric dipole polarizability of a three-hadron bound complex in the case that the system has only one bound (ground) state has been elaborated. On its basis, by applying a model wave function that…

Nuclear Theory · Physics 2008-11-18 V. F. Kharchenko , A. V. Kharchenko

A cluster consisting of many atoms or molecules may be considered, in some circustances, to be a single large molecule with a well defined polarizability. Once the polarizability of such a cluster is known, one can evaluate certain…

Materials Science · Physics 2009-11-11 Hye-Young Kim , Jorge O. Sofo , Darrell Velegol , Milton W. Cole , Gautam Mukhopadhyay

Electromagnetic polarizabilities describe the response of a system to the application of an external quasi-static electric or magnetic field. In this article experimental and theoretical work addressing the polarizabilities of the light…

High Energy Physics - Phenomenology · Physics 2015-06-18 Barry R. Holstein , Stefan Scherer

In neutral atom optical clocks, the higher-order atomic polarizability terms lead to the clock transition frequency shift which is motion-state dependent and nonlinear with the optical lattice depth. We propose to use an auxiliary optical…

Atomic Physics · Physics 2024-02-06 Artem Golovizin

We use the perturbed relativistic coupled-cluster theory to compute the static electric dipole polarizabilities of the singly ionized alkali atoms, namely, Na$^+$, $^+$, Rb$^+$, Cs$^+$ and Fr$^+$. The computations use the…

Atomic Physics · Physics 2013-05-01 S. Chattopadhyay , B. K. Mani , D. Angom

The response of an atom to external electric and magnetic fields can reveal fundamental atomic properties. It has long been verified that, in a static magnetic field, those atomic energy levels with hyperfine interactions shift according to…

Atomic Physics · Physics 2025-07-14 S. -Z. Wang , S. -B. Wang , Z. -J. Tao , T. Xia , Z. -T. Lu
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