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Volume 35, Issue 5, May 2009
- BOSE-- EINSTEIN CONDENSATION
35(2009); http://dx.doi.org/10.1063/1.3132744View Description Hide Description
A superfluid state can arise in bilayer systems as a result of pairing of spatially separated electrons and holes. In the limit of low electron–hole pair density the superfluid state can be described by a nonlinear dynamical equation. In the present paper a microscopic derivation of such an equation for the wave function of the electron–hole pair condensate in a strong magnetic field is presented. This equation is generalized to the cases where an electric field is applied to the system and where the composition of the semiconductor forming conducting layers varies in space. The solution of the dynamical equation gives the frequencies of the characteristic oscillations of the electron–hole pair condensate in excitonic traps produced by electric charge or variation of the composition of the semiconductor.