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Induced instability for boson-fermion mixed condensate of Alkali atoms due to attractive boson-fermion interaction

T. Miyakawa·T. Suzuki·H. Yabu
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Abstract

Instabilities for boson-fermion mixed condensates of trapped Alkali atoms due to the boson-fermion attractive interaction are studied using a variational method. Three regions are shown for their instabilities according to the boson-fermion interaction strength: stable, meta-stable and unstable ones. The stability condition is obtained analytically from the asymptotic expansion of the variational total energy. The life-time of metastable states is discussed for tunneling decay, and is estimated to be very long. It suggests that, except near the unstable border, meta-stable mixed condensate should be almost-stable against clusterizations. The critical border between meta-stable and unstable phases is calculated numerically and is shown to be consistent with the Mølmer scaling condition.

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T. Miyakawa, T. Suzuki, H. Yabu. 2000-12-05. Induced instability for boson-fermion mixed condensate of Alkali atoms due to attractive boson-fermion interaction. https://doi.org/10.1103/physreva.64.033611

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