Magic wavelengths, matrix elements, polarizabilities, and lifetimes of Cs

Abstract

Motivated by recent interest in their applications, we report a systematic study of Cs atomic properties calculated by a high-precision relativistic all-order method. Excitation energies, reduced matrix elements, transition rates, and lifetimes are determined for levels with principal quantum numbers $n\le 12$ and orbital angular momentum quantum numbers $l\le 3$. Recommended values and estimates of uncertainties are provided for a number of electric-dipole transitions and the electric dipole polarizabilities of the $ns$, $np$, and $nd$ states. We also report a calculation of the electric quadrupole polarizability of the ground state. We display the dynamic polarizabilities of the $6s$ and $7p$ states for optical wavelengths between 1160 nm and 1800 nm and identify corresponding magic wavelengths for the $6s-7p_{1/2}$, $6s-7p_{3/2}$ transitions. The values of relevant matrix elements needed for polarizability calculations at other wavelengths are provided.

arXiv comment10 pages, 6 figures

References in corpus (26)

• Theory and applications of atomic and ionic polarizabilities
• Measurement of the 6S-7S transition polarizablility in atomic cesium and an improved test of the standard model
• Trapping of single atoms in cavity QED
• Improved limit on a temporal variation of $m_p/m_e$ from comparisons of Yb${}^{+}$ and Cs atomic clocks
• Relativistic many-body calculations of energy levels, hyperfine constants, electric-dipole matrix elements and static polarizabilities for alkali-metal atoms
• Multipolar theory of black-body radiation shift of atomic energy levels and its implications for optical lattice clocks
• Precision determination of electroweak coupling from atomic parity violation and implications for particle physics
• All-Optical Vector Atomic Magnetometer
• Cold Atom Clock Test of Lorentz Invariance in the Matter Sector
• Quantum dynamics with spatiotemporal control of interactions in a stable Bose-Einstein condensate
• Electric dipole polarizabilities at imaginary frequencies for the alkali-metal, alkaline-earth, and inert gas atoms
• High precision measurement of the static dipole polarizability of cesium
• Coherent addressing of individual neutral atoms in a 3D optical lattice
• Magic-wavelength optical traps for Rydberg atoms
• All-Optical Production of a Lithium Quantum Gas Using Narrow-Line Laser Cooling
• Atom interferometry in an optical cavity
• Magic wavelengths for the np-ns transitions in alkali-metal atoms
• Low-temperature, high-density magneto-optical trapping of potassium using the open 4S-5P transition at 405 nm
• Frequency-dependent polarizabilities of alkali atoms from ultraviolet through infrared spectral regions
• Magic frequencies for cesium primary frequency standard
• Inconsistencies between lifetime and polarizability measurements in Cs
• Theory of "magic" optical traps for Zeeman-insensitive clock transitions in alkalis
• Level-crossing spectroscopy of the 7, 9, and 10D_5/2 states of 133Cs and validation of relativistic many-body calculations of the polarizabilities and hyperfine constants
• Double core polarization contribution to atomic PNC and EDM calculations
• Measurement of the forbidden tensor polarizability of Cs using an all-optical Ramsey resonance technique
• Hyperfine-mediated static polarizabilities of monovalent atoms and ions

Cited by in corpus (26)

• Tutorial: Calculation of Rydberg interaction potentials
• Determination of the scalar and vector polarizabilities of the cesium $6s{}^2{S}_{1/2}\to 7s{}^2{S}_{1/2}$ transition and implications for atomic parity non-conservation
• Realization of phase locking in good-bad-cavity active optical clock
• Atom-surface physics: A review
• Measurement of the atom-surface van der Waals interaction by transmission spectroscopy in a wedged nano-cell
• Measurement of the radial matrix elements for the $6s^2{S}_{1/2}\to 7p^2{P}_J$ transitions in cesium
• Electric dipole matrix elements for the $6p{}^2{P}_J\to 7s{}^2{S}_{1/2}$ transition in atomic cesium
• Preparing Narrow Velocity Distributions for Quantum Memories in Room-Temperature Alkali Vapours
• Precise Lifetime Measurement of the Cesium $5^2{D}_{5/2}$ State
• Precision theoretical determination of electric-dipole matrix elements in atomic cesium
• Measurement of the tune-out wavelength for ${}^{133}$Cs at $880$ nm
• Triply magic conditions for microwave transitions of optically trapped alkali-metal atoms
• Electric dipole transition amplitudes for atoms and ions with one valence electron
• Towards implementation of a magic optical-dipole trap for confining ground-state and Rydberg-state cesium cold atoms
• Tune-out wavelengths of the hyperfine components of the ground level of ${}^{133}$Cs atoms
• Ultra precise determination of Cs($n{S}_{1/2}$) and Cs($n{D}_J$) quantum defects for sensing and computing: Evaluation of core contributions
• Laser Spectroscopy of the y${}^7$P${}_J^{\circ }$ states of Cr I
• Recapture Probability for anti-trapped Rydberg states in optical tweezers
• Hyperfine coupling constants of the cesium $7D_{5/2}$ state measured up to the octupole term
• Spectrally Sharp Near-Field Thermal Emission: Revealing Some Disagreements between a Casimir-Polder Sensor and Predictions from Far-Field Emittance
• Determination of Quantum Defects and Core Polarizability of Atomic Cesium via Terahertz and Radio-Frequency Spectroscopy in Thermal Vapor
• Demonstrating Correlation Trends in the Electric Dipole Polarizabilities of Many Low-lying States in Cs I through First-principle Calculations
• Precision measurement of Cs($n{F}_J$) quantum defects and calculations of scalar and tensor polarizabilities of the $n{S}_{1/2}$, $n{P}_J$ ,$n{D}_J$ , and $n{F}_J$ series
• Cooperative atomic emission from a line of atoms interacting with a resonant plane surface
• Investigation on the Cs 6S1=2 to 7D electric quadrupole transition via monochromatic two-photon process at 767 nm
• Measurement of cesium $8{}^2{P}_J\to 6{}^2{P}_{J^{\prime }}$ electric quadrupole transition probabilities using fluorescence spectroscopy