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arXiv:1102.1696 · Physical Review A

Spinor atom-molecule conversion via laser-induced three-body recombination

Hui Jing, Yuangang Deng, Pierre Meystre

Published Apr 1, 2011• 3 citations
arXivHTMLPDF

Abstract

We study the theory of several aspects of the dynamics of coherent atom-molecule conversion in spin-one Bose-Einstein condensates. Specifically, we discuss how, for a suitable dark-state condition, the interplay of spin-exchange collisions and photo association leads to the stable creation of an atom-molecule pair from three initial spin-zero atoms. This process involves two two-body interactions and can be intuitively viewed as an effective three-body recombination. We investigate the relative roles of photo association and of the initial magnetization in the ``resonant'' case, where the dark-state condition is perfectly satisfied. We also consider the ``nonresonant'' case, where that condition is satisfied either only approximately---the so-called adiabatic case---or not at all. In the adiabatic case, we derive an effective nonrigid pendulum model that allows one to conveniently discuss the onset of an antiferromagnetic instability in an ``atom-molecule pendulum,'' as well as large-amplitude pair oscillations and atom-molecule entanglement.

DOI
10.1103/physreva.83.043601

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We study the theory of several aspects of the dynamics of coherent atom-molecule conversion in spin-one Bose-Einstein condensates. Specifically, we discuss how, for a suitable dark-state condition, the interplay of spin-exchange collisions and photo association leads to the stable creation of an atom-molecule pair from three initial spin-zero atoms. This process involves two two-body interactions and can be intuitively viewed as an effective three-body recombination. We investigate the relative roles of photo association and of the initial magnetization in the resonant'' case, where the dark-state condition is perfectly satisfied. We also consider the nonresonant'' case, where that condition is satisfied either only approximately---the so-called adiabatic case---or not at all. In the adiabatic case, we derive an effective nonrigid pendulum model that allows one to conveniently discuss the onset of an antiferromagnetic instability in an ``atom-molecule pendulum,'' as well as large-amplitude pair oscillations and atom-molecule entanglement.
We have created a dark quantum superposition state of a Rb Bose-Einstein condensate and a degenerate gas of Rb2 ground-state molecules in a specific rovibrational state using two-color photo-association. As a signature for the decoupling of this coherent atom-molecule gas from the light field, we observe a striking suppression of photo-association loss. In our experiment the maximal molecule population in the dark state is limited to about 100 Rb2 molecules due to laser induced decay. The experimental findings can be well described by a simple three mode model.
We give a brief description of theoretical studies on multi-component systems and detailed discussions on systems with atom-to-molecule conversion. The conversion of two species of atoms into stable molecules through the Feshbach resonance assisted by stimulated Raman adiabatic passage in photoassociation is studied with the help of mean-field Langrange density. The conversion efficiency is large for the fully bosonic system as well as the boson-fermion mixture as long as the general two-photon resonance condition is satisfied.
We study the role in an external photoassociation light field in the spin mixing dynamics of a spin-one Bose condensate with long-range magnetic dipole-dipole interaction. The mean-field energy functional of the system is found to be formally identical to that of two coupled nonrigid pendulums, manifesting either constructive or destructive interferences. The interplay between photoassociation and the magnetic dipole-dipole interaction provides a novel route to the magneto-optical quantum control of atomic spin mixing in dipolar spinor condensates.
We investigate the quantum dynamics and statistics of an interesting system of the double-well Bose–Einstein condensates in the presence of a coherent photo-association process occurring in one of the two wells. Through the analytical solutions of a simplified model of the atom–molecule condensate, our results show the important impact of initial state preparations on the atomic coherence, especially the different squeezing behaviour for the case of photo-association via left-well atoms tunnelling from initial right-well atomic condensate, which holds the promise to be observed in the present laboratory.