Avoided crossings between bound states of ultracold Cesium dimers

Abstract

We present an efficient new computational method for calculating the binding energies of the bound states of ultracold alkali-metal dimers in the presence of magnetic fields. The method is based on propagation of coupled differential equations and does not use a basis set for the interatomic distance coordinate. It is much more efficient than the previous method based on a radial basis set and allows many more spin channels to be included. This is particularly important in the vicinity of avoided crossings between bound states. We characterize a number of different avoided crossings in Cs_2 and compare our converged calculations with experimental results. Small but significant discrepancies are observed in both crossing strengths and level positions, especially for levels with l symmetry (rotational angular momentum L=8). The discrepancies should allow the development of improved potential models in the future.

arXiv comment11 pages, 9 figures

References in corpus (14)

• Production of cold molecules via magnetically tunable Feshbach resonances
• Evidence for Efimov quantum states in an ultracold gas of cesium atoms
• Quantum Gas of Deeply Bound Ground State Molecules
• Feshbach resonances in rubidium 87: Precision measurement and analysis
• Enhanced sensitivity to variation of $m_e/m_p$ in molecular spectra
• Ultracold Molecule Production Via a Resonant Oscillating Magnetic Field
• Sensitive Detection of Cold Cesium Molecules by Radiative Feshbach Spectroscopy
• Spectroscopy of Ultracold, Trapped Cesium Feshbach Molecules
• `Stückelberg interferometry' with ultracold molecules
• Excited Thomas-Efimov levels in ultracold gases
• Enhancement of variation of fundamental constants in ultracold atom and molecule systems near Feshbach resonances
• Cruising through molecular bound state manifolds with radio frequency
• Making Cold Molecules by Time-dependent Feshbach Resonances
• A Quantum Scattering Interferometer

Cited by in corpus (36)

• Feshbach Resonances in Ultracold Gases
• Precise characterization of ^6Li Feshbach resonances using trap-sideband resolved RF spectroscopy of weakly bound molecules
• Duo: a general program for calculating spectra of diatomic molecules
• Towards the production of ultracold ground-state RbCs molecules: Feshbach resonances, weakly bound states, and coupled-channel model
• MOLSCAT: a program for non-reactive quantum scattering calculations on atomic and molecular collisions
• Ultracold RbSr molecules can be formed by magnetoassociation
• Feshbach resonances, weakly bound molecular states and coupled-channel potentials for cesium at high magnetic fields
• Magnetically tunable Feshbach resonances in ultracold Li-Yb mixtures
• The {\it ab initio} calculation of spectra of open shell diatomic molecules
• Ultracold molecules from ultracold atoms: a case study with the KRb molecule
• Feshbach resonances in ultracold 85Rb
• BOUND and FIELD: programs for calculating bound states of interacting pairs of atoms and molecules
• Cold and ultracold NH--NH collisions in magnetic fields
• Observation of interspecies Feshbach resonances in an ultracold ${}^{39}$K-${}^{133}$Cs mixture and refinement of interaction potentials
• Effective-range approximations for resonant scattering of cold atoms
• Resonant atom-dimer collisions in cesium: Testing universality at positive scattering lengths
• Feshbach spectroscopy of an ultracold mixture of ${}^{85}$Rb and ${}^{133}$Cs
• Spin-orbit interactions and quantum spin dynamics in cold ion-atom collisions
• Tailored single-atom collisions at ultra-low energies
• Feshbach resonances, molecular bound states and prospects of ultracold molecule formation in mixtures of ultracold K and Cs
• Coherent optical creation of a single molecule
• Probing open- and closed-channel p-wave resonances
• Feshbach Loss Spectroscopy in an Ultracold ${}^{23}$Na and ${}^{40}$K Mixture
• Creating Feshbach resonances for ultracold molecule formation with radiofrequency fields
• Magnetically tunable Feshbach resonances in ultracold gases of europium atoms and mixtures of europium and alkali-metal atoms
• Collisional properties of cold spin-polarized nitrogen gas: theory, experiment, and prospects as a sympathetic coolant for trapped atoms and molecules
• Collisions of Ultracold Trapped Cesium Feshbach Molecules
• Few-body physics of ultracold atoms and molecules with long-range interactions
• Signatures of avoided energy-level crossings in entanglement indicators obtained from quantum tomograms
• Quantum control of ion-atom collisions beyond the ultracold regime
• Multiple-Channel Scattering Resonance of One-Dimensional Ultracold Spinor Bosons
• Inelastic losses in radiofrequency-dressed traps for ultracold atoms
• Floquet-Engineering of Feshbach Resonances in Ultracold Gases
• Spin--spin interaction and magnetic Feshbach resonances in collisions of high-spin atoms with closed-shell atoms
• Signatures of nonclassical effects in tomograms
• User Manual for MOLSCAT, BOUND and FIELD, Version 2025.0: programs for quantum scattering properties and bound states of interacting pairs of atoms and molecules