Asymptotic model for shape resonance control of diatomics by intense non-resonant light

Abstract

We derive a universal model for atom pairs interacting with non-resonant light via the polarizability anisotropy, based on the long range properties of the scattering. The corresponding dynamics can be obtained using a nodal line technique to solve the asymptotic Schrödinger equation. It consists in imposing physical boundary conditions at long range and vanishing of the wavefunction at a position separating inner zone and asymptotic region. We show that nodal lines which depend on the intensity of the non-resonant light can satisfactorily account for the effect of the polarizability at short range. The approach allows to determine the resonance structure, energy, width, channel mixing and hybridization even for narrow resonances.

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Cited by in corpus (7)

• Quantum control of molecular rotation
• Evidence for association of triatomic molecule in ultracold ${}^{23}$Na${}^{40}$K and ${}^{40}$K mixture
• Swirling the weakly bound helium dimer from inside
• Controlling the s-wave scattering length with non-resonant light: Predictions of an asymptotic model
• 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