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

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  • 10 February 2000
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 meta-stable states are discussed for tunneling decay, and estimated to be very long. It suggests that, except the states close to the unstable border, they should be almost-stable against clusterizations. The critical border between meta-stable and unstable phases are calculated numerically and shown to be consistent with the M{\o}lmer scaling condition.

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