Three-body rf association of Efimov trimers

Abstract

We present a theoretical analysis of rf association of Efimov trimers in a 2-component Bose gas with short-range interactions. Using the adiabatic hyperspherical Green's function formalism to solve the quantum 3-body problem, we obtain universal expressions for 3-body rf association rates as a function of the s-wave scattering length $a$. We find that the association rates scale as $a^{-2}$ in the limit of large $a$, and diverge as $a^3{a}_{ad}^3$ whenever an Efimov state crosses the atom-dimer threshold (where $a_{ad}$ stands for the atom-dimer scattering length). Our calculations show that trimer formation rates as large as $\sim 10^{-21}$ cm${}^6$/s can be achieved with rf Rabi frequencies of order 1 MHz, suggesting that direct rf association is a powerful tool of making and probing few-body quantum states in ultracold atomic gases.

4 pages, 2 figures

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Cited by in corpus (9)

• Association of Efimov trimers from a three-atom continuum
• First order phase transitions in optical lattices with tunable three-body onsite interaction
• Effective Control of Cold Collisions with Radio Frequency Fields
• Quantum walks of interacting Mott insulator defects with three-body interactions
• Non-adiabatic molecular association in thermal gases driven by radio-frequency pulses
• Observation of a Halo Trimer in an Ultracold Bose-Fermi Mixture
• Photo Reactions with Universal Trimers
• Log-Periodic Oscillations in the Photo Response of Efimov Trimers
• Photoassociation of Universal Efimov Trimers