Predicting scattering properties of ultracold atoms: adiabatic accumulated phase method and mass scaling

Abstract

Ultracold atoms are increasingly used for high precision experiments that can be utilized to extract accurate scattering properties. This calls for a stronger need to improve on the accuracy of interatomic potentials, and in particular the usually rather inaccurate inner-range potentials. A boundary condition for this inner range can be conveniently given via the accumulated phase method. However, in this approach one should satisfy two conditions, which are in principle conflicting, and the validity of these approximations comes under stress when higher precision is required. We show that a better compromise between the two is possible by allowing for an adiabatic change of the hyperfine mixing of singlet and triplet states for interatomic distances smaller than the separation radius. A mass scaling approach to relate accumulated phase parameters in a combined analysis of isotopically related atom pairs is described in detail and its accuracy is estimated, taking into account both Born-Oppenheimer and WKB breakdown. We demonstrate how numbers of singlet and triplet bound states follow from the mass scaling.

arXiv comment14 pages, 9 figures

References in corpus (7)

• Many-Body Physics with Ultracold Gases
• Inter-isotope determination of ultracold rubidium interactions from three high-precision experiments
• High-precision calculations of dispersion coefficients, static dipole polarizabilities, and atom-wall interaction constants for alkali-metal atoms
• Accurate relativistic many-body calculations of van der Waals coefficients C_8 and C_10 for alkali-metal dimers
• Multichannel quantum-defect theory for slow atomic collisions
• Accurate near-threshold model for ultracold KRb dimers from interisotope Feshbach spectroscopy
• Study of the Born-Oppenheimer Approximation for Mass-Scaling of Cold Collision Properties

Cited by in corpus (24)

• Generation of dark-bright soliton trains in superfluid-superfluid counterflow
• Dark-dark solitons and modulational instability in miscible, two-component Bose-Einstein condensates
• Precision measurements of s-wave scattering lengths in a two-component Bose-Einstein condensate
• Negative mass hydrodynamics in a Spin-Orbit--Coupled Bose-Einstein Condensate
• Feshbach spectroscopy and analysis of the interaction potentials of ultracold sodium
• Microwave-induced Fano-Feshbach resonances
• Measurement of collective excitations in a spin-orbit-coupled Bose-Einstein condensate
• Thermometry with spin-dependent lattices
• Transverse spin dynamics in the anisotropic Heisenberg model realized with ultracold atoms
• Faraday waves in binary non-miscible Bose-Einstein condensates
• Vector Dark-Antidark Solitary Waves in Multi-Component Bose-Einstein condensates
• Collinear Four-Wave Mixing of Two-Component Matter Waves
• Asymptotic Bound-state Model for Feshbach Resonances
• Deviations from Born-Oppenheimer mass scaling in spectroscopy and ultracold molecular physics
• Interaction induced decay of a heteronuclear two-atom system
• Analyzing Feshbach resonances -- A ${}^6$Li -${}^{133}$Cs case study
• Momentum correlations as signature of sonic Hawking radiation in Bose-Einstein condensates
• Feshbach resonances in Cesium at Ultra-low Static Magnetic Fields
• Feshbach resonances in 3He*-4He* mixtures
• Faraday and resonant waves in binary collisionally-inhomogeneous Bose-Einstein condensates
• Simple waves in a two-component Bose-Einstein condensate
• Observation of nonlinear spin dynamics and squeezing in a BEC using dynamic decoupling
• Expansion Dynamics of a Two-Component Quasi-One-Dimensional Bose-Einstein Condensate: Phase Diagram, Self-Similar Solutions, and Dispersive Shock Waves
• Periodic waves in two-component Bose-Einstein condensates with repulsive interactions between atoms