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arXiv · 0907.4779

Matter-wave bistability in coupled atom-molecule quantum gases

Lei Jiang·Han Pu·Andrew Robertson·Hong Y. Ling
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Abstract

We study the matter-wave bistability in coupled atom-molecule quantum gases, in which heteronuclear molecules are created via an interspecies Feshbach resonance involving either two-species Bose or two-species Fermi atoms at zero temperature. We show that the resonant two-channel Bose model is equivalent to the nondegenerate parametric down-conversion in quantum optics, while the corresponding Fermi model can be mapped to a quantum optics model that describes a single-mode laser field interacting with an ensemble of inhomogeneously broadened two-level atoms. Using these analogy and the fact that both models are subject to the Kerr nonlinearity due to the two-body s-wave collisions, we show that under proper conditions, the population in the molecular state in both models can be made to change with the Feshbach detuning in a bistable fashion.

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Lei Jiang, Han Pu, Andrew Robertson, Hong Y. Ling. 2009-07-27. Matter-wave bistability in coupled atom-molecule quantum gases. https://doi.org/10.1103/physreva.81.013619

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