Controlling the s-wave scattering length with non-resonant light: Predictions of an asymptotic model

Abstract

A pair of atoms interacts with non-resonant light via its anisotropic polarizability. This effect can be used to tune the scattering properties of the atoms. Although the light-atom interaction varies with interatomic separation as $1/R^3$, the effective s-wave potential decreases more rapidly, as $1/R^4$ such that the field-dressed scattering length can be determined without any formal difficulty. The scattering dynamics are essentially governed by the long-range part of the interatomic interaction and can thus be accurately described by an asymptotic model [Crubellier et al., New J. Phys. 17, 045020 (2015)]. Here we use the asymptotic model to determine the field-dressed scattering length from the s-wave radial component of a particular threshold wave function. Applying our theory to the scattering of two strontium isotopes, we calculate the variation of the scattering length with the intensity of the non-resonant light. Moreover, we predict the intensities at which the scattering length becomes infinite for any pair of atoms.

References in corpus (25)

• Feshbach Resonances in Ultracold Gases
• Theory of ultracold Fermi gases
• Tuning the scattering length with an optically induced Feshbach resonance
• Influence of nearly resonant light on the scattering length in low-temperature atomic gases
• Controlling atom-atom interaction at ultralow temperatures by dc electric fields
• Systematic study of Optical Feshbach Resonances in an ideal gas
• Controlling Condensate Collapse and Expansion with an Optical Feshbach Resonance
• Optical tuning of the scattering length of cold alkaline earth atoms
• Quasi-Universal Dipolar Scattering in Cold and Ultracold Gases
• Pseudopotential method for higher partial wave scattering
• Control of dipolar relaxation in external fields
• Anisotropic pseudo-potential for polarized dilute quantum gases
• Low energy atomic collision with dipole interactions
• Analytic description of atomic interaction at ultracold temperatures: the case of a single channel
• Long-range interactions between polar alkali-metal diatoms in external electric fields
• Effective potentials for atom-atom interaction at low temperatures
• Universal resonant ultracold molecular scattering
• Controlling magnetic Feshbach resonances in polar open-shell molecules with non-resonant light
• Observation of a p-wave Optical Feshbach Resonance
• Enhancing photoassociation rates by non-resonant light control of shape resonances
• Rotational structures of long-range diatomic molecules
• Resonance phenomena in ultracold dipole-dipole scattering
• Tuning the scattering length on the ground triplet state of Cs_2
• Asymptotic model for shape resonance control of diatomics by intense non-resonant light
• Asymptotic model for shape resonance control of diatomics by intense non-resonant light: Universality in the single-channel approximation

Cited by in corpus (8)

• Quantum control of molecular rotation
• Analog quantum chemistry simulation
• Ultralong-range Rydberg bi-molecules
• Asymptotic model for shape resonance control of diatomics by intense non-resonant light
• Magnetic Feshbach resonances in ultracold atom-molecule collisions
• Asymptotic model for shape resonance control of diatomics by intense non-resonant light: Universality in the single-channel approximation
• Controlling ultracold $p$-wave collisions with non-resonant light: Predictions of an asymptotic model for the generalized scattering volume
• Defining the $p$-wave scattering volume in the presence of dipolar interactions