Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-07-30
Phys. Rev. Lett. 100, 060402 (2008)
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
10.1103/PhysRevLett.100.060402
A Bose-Einstein condensate in an external potential consisting of a superposition of a harmonic and a random potential is considered theoretically. From a semi-quantitative 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 ${\cal L}$. This state is stable over a large range of particle numbers. The frequency of the breathing mode scales as $1/{\cal L}^2$. For negative scattering length a condensate of size ${\cal L}$ may exist as a metastable state. These finding are generalized to anisotropic traps.
Nattermann Thomas
Pokrovsky Valery L.
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