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Bose-Einstein Condensates in Strongly Disordered Traps

Physical Review Letters, Vol. 100, No. 6. (2008)


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A Bose-Einstein condensate in an external potential consisting of a superposition of a harmonic and a random potential is considered theoretically. From a semiquantitative analysis we find the size, shape, and excitation energy as a function of the disorder strength. For positive scattering length and sufficiently strong disorder the condensate decays into fragments each of the size of the Larkin length . This state is stable over a large range of particle numbers. The frequency of the breathing mode scales as 1/2. For negative scattering length a condensate of size may exist as a metastable state. These findings are generalized to anisotropic traps.


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