Gauge effects in bound-bound Rydberg-transition matrix elements
arXiv:2110.07363 · doi:10.1103/PhysRevA.105.012825
Abstract
Accurate data on electric-dipole transition matrix elements (EDTMs) for bound-bound Rydberg-atom transitions become increasingly important in science and technology. Here we compute radial EDTMs of rubidium using the length, velocity and acceleration gauges for electric-dipole-allowed transitions between states with principal and angular-momentum quantum numbers ranging from 15 to 100. Wave-functions are computed based upon model potentials from Marinescu et al., Phys. Rev. A {\bf{49}}, 982 (1994). Length-gauge EDTMs, often used for low- transitions, are found to deviate from the fundamentally more accurate velocity-gauge EDTMs by relative amounts of up to . We discuss the physical reasons for the observed gauge differences, explain the conditions for applicability of the velocity and length gauges for different transition series, and present a decision tree of how to choose EDTMs. Implications for contemporary Rydberg-atom applications are discussed.
7 pages, 3 figures
References in corpus (10)
- Many-Body Physics with Individually-Controlled Rydberg Atoms
- Broadband Rydberg Atom-Based Electric-Field Probe: From Self-Calibrated Measurements to Sub-Wavelength Imaging
- Quantum simulation and computing with Rydberg-interacting qubits
- High-fidelity Rydberg quantum gate via a two-atom dark state
- Experimental and theoretical oscillator strengths of Mg I for accurate abundance analysis
- Circularizing Rydberg atoms with time-dependent optical traps
- Fundamental constants and tests of theory in Rydberg states of one-electron ions
- AC-Stark shift and photoionization of Rydberg atoms in an optical dipole trap
- Photoionization of Rydberg Atoms in Optical Lattices
- Photoionization of and Rydberg atoms of Rb and Cs from the near-infrared to the ultraviolet spectral region