Freiburg 2024 – scientific programme
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A: Fachverband Atomphysik
A 5: Ultra-cold Plasmas and Rydberg Systems I (joint session A/Q)
A 5.3: Talk
Monday, March 11, 2024, 17:30–17:45, HS 1010
Green's function treatment of Rydberg molecules with spin — •Matthew Eiles1 and Chris Greene2 — 1Max Planck Institut für Physik komplexer Systeme, Nöthnitzer Str 38, 01187 Dresden Germany — 2Department of Physics and Astronomy and Purdue Quantum Science and Engineering Institute, Purdue University, West Lafayette, Indiana 47907, USA
The determination of ultra-long-range molecular potential curves has been reformulated using the Coulomb Green's function to give a solution in terms of the roots of an analytical determinantal equation. For a system consisting of one Rydberg atom with a fine structure and a neutral perturbing ground state atom with hyperfine structure, the solution yields potential energy curves and wave functions in terms of the quantum defects of the Rydberg atom and the electron-perturber scattering phase shifts and hyperfine splittings. This method provides a promising alternative to the standard currently utilized method of diagonalization, which suffers from problematic convergence issues and nonuniqueness, and can potentially yield a more quantitative relationship between Rydberg molecule spectroscopy and electron-atom scattering phase shifts.
Keywords: Rydberg molecules; Ultracold; Scattering; Coulomb Green's function; Spectroscopy