Relativistic many-body calculations of electric-dipole matrix elements, lifetimes and polarizabilities in rubidium

Abstract

Electric-dipole matrix elements for ns-n'p, nd-n'p, and 6d-4f transitions in Rb are calculated using a relativistic all-order method. A third-order calculation is also carried out for these matrix elements to evaluate the importance of the high-order many-body perturbation theory contributions. The all-order matrix elements are used to evaluate lifetimes of ns and np levels with n=6, 7, 8 and nd levels with n=4, 5, 6 for comparison with experiment and to provide benchmark values for these lifetimes. The dynamic polarizabilities are calculated for ns states of rubidium. The resulting lifetime and polarizability values are compared with available theory and experiment.

8 pages, 2 figures

References in corpus (5)

• Fast quantum gates for neutral atoms
• High-precision calculations of dispersion coefficients, static dipole polarizabilities, and atom-wall interaction constants for alkali-metal atoms
• Relativistic many-body calculations of energy levels, hyperfine constants, electric-dipole matrix elements and static polarizabilities for alkali-metal atoms
• Measurement of the 6s - 7p transition probabilities in atomic cesium and a revised value for the weak charge Q_W
• Optimizing the fast Rydberg quantum gate

Cited by in corpus (67)

• Theory and applications of atomic and ionic polarizabilities
• ARC: An open-source library for calculating properties of alkali Rydberg atoms
• New experimental and theoretical approach to the 3d D-level lifetimes of 40Ca+
• Anisotropic Polarizability of Ultracold Polar ${}^{40}$K${}^{87}$Rb Molecules
• Thermal Casimir-Polder interaction of different atoms with graphene
• Magic-zero wavelengths of alkali-metal atoms and their applications
• Optical Nanofibers: a new platform for quantum optics
• Magic wavelengths for the np-ns transitions in alkali-metal atoms
• Direct Measurement of intermediate-range Casimir-Polder potentials
• Lifetime measurements of the 5d states of rubidium
• Frequency-dependent polarizabilities of alkali atoms from ultraviolet through infrared spectral regions
• Laser Trapping of Circular Rydberg Atoms
• Relativistic coupled-cluster single-double method applied to alkali-metal atoms
• Inconsistencies between lifetime and polarizability measurements in Cs
• Calculation of parity nonconserving amplitude and other properties of Ra+
• The impact of magnetic properties on atom-wall interaction
• Probing atom-surface interactions by diffraction of Bose-Einstein condensates
• Direct measurement of excited-state dipole matrix elements using electromagnetically induced transparency in the hyperfine Paschen-Back regime
• Theoretical study of lifetimes and polarizabilities in Ba+
• Measurement of the electric dipole moments for transitions to rubidium Rydberg states via Autler-Townes splitting
• Lifetime and hyperfine splitting measurements on the 7s and 6p levels in rubidium
• Frequency Shifts due to Stark Effects on a Rb two-photon transition
• Two-photon optical frequency reference with active ac Stark shift cancellation
• Impact of graphene coating on the atom-plate interaction
• Electric Quadrupole Moments of Metastable States of Ca+, Sr+, and Ba+
• Lifetime Measurement of the 6s Level of Rubidium
• Blackbody radiation shift in 87Rb frequency standard
• Spatially selective loading of an optical lattice by light-shift engineering using an auxiliary laser field
• High-angular-momentum Rydberg states in a room-temperature vapor cell for DC electric-field sensing
• Probing the axis alignment of an ultracold spin-polarized ${\text{Rb}}_2$ molecule
• Measurement of the hyperfine splitting of the 6S${}_{1/2}$ level in rubidium
• Magic wavelengths for lattice trapped Rubidium four-level active optical clock
• Hyperfine measurement of $6{\text{P}}_{1/2}$ state in ${}^{87}\text{Rb}$ using double resonance on blue and IR transition
• High-frequency Light Reflector via Low-frequency Light Control
• Two-photon rubidium clock detecting 776~nm fluorescence
• Polarizability of ultracold ${\text{Rb}}_2$ molecules in the rovibrational ground state of ${\mathrm{a}}^3{\Sigma }_u^{+}$
• Triply magic conditions for microwave transitions of optically trapped alkali-metal atoms
• State-insensitive bichromatic optical trapping
• Narrow-line cooling of ${}^{87}$Rb using 5S${}_{1/2}\to$ 6P${}_{3/2}$ open transition at 420 nm
• Tailoring the Stability of a Two-Color, Two-Photon Rubidium Frequency Standard
• Propagation of ultra-short, resonant, ionizing laser pulses in rubidium vapor
• Observation of modified radiative properties of cold atoms in vacuum near a dielectric surface
• Polarizabilities and tune-out wavelengths of the hyperfine ground states of ${}^{87,85}$Rb
• AC-Stark shift and photoionization of Rydberg atoms in an optical dipole trap
• Casimir-Polder Interaction of an Atom with a Cavity Wall Made of Phase-Change Material out of Thermal Equilibrium
• Scattering and absorption of ultracold atoms by nanotubes
• Anisotropic Polarizability of Ultracold Ground-state ${}^{23}$Na${}^{87}$Rb Molecules
• Precise, super-resolving intensity measurement by quantum jump spectroscopy of a single neutral atom
• Quantum electrodynamics near anisotropic polarizable materials: Casimir-Polder shifts near multi-layers of graphene
• Experimental and theoretical study of dynamic polarizabilities in the $5S_{1/2}$-$5D_{5/2}$ clock transition in rubidium-87 and determination of E1 matrix elements
• Transport of launched cold atoms with a laser guide and pulsed magnetic fields
• Precision study of 6p 2Pj - 8s 2S1/2 relative transition matrix elements in atomic Cs
• Deterministic strong-field quantum control
• AC polarizability and photoionization cross-section measurements in an optical lattice
• An optical atomic clock using $4D_J$ states of rubidium
• Transient-absorption phases with strong probe and pump pulses
• Ultrafast dynamic evolution of multilevel systems in medium-strength laser fields
• Level structure of deeply bound levels of the $c^3{\Sigma }_g^{+}$ state of ${}^{87}{\text{Rb}}_2$
• Spectroscopy of the ${}^{85}$Rb 4$D_{3/2}$ state for hyperfine-structure determination
• On the coherent effect of vacuum fluctuations on driven atoms
• Gauge effects in bound-bound Rydberg-transition matrix elements
• Hyperfine structure and collisions in three-photon Rydberg electromagnetically induced transparency
• Guiding neutral particles endowed with a magnetic moment by an electromagnetic wave carrying orbital angular momentum. II. Quantum mechanics
• Light-induced states in the transient-absorption spectrum of a periodically pumped strong-field-excited system
• Optical Manipulation of Light Scattering in Cold Atomic Rubidium
• Long range propagation of ultrafast, ionizing laser pulses in a resonant nonlinear medium
• Analysis of polarizability measurements made with atom interferometry