 0984 Thomas Jaeck, Joseph V. Pule, Valentin A. Zagrebnov
 On the nature of BoseEinstein condensation in disordered systems
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May 28, 09

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Abstract. We study the perfect Bose gas in random external potentials and show that there is generalized
BoseEinstein condensation in the random eigenstates if and only if
the same occurs in the oneparticle kineticenergy eigenstates, which corresponds to the generalized condensation
of the free Bose gas. Moreover, we prove that the amounts of both condensate densities are equal.
Our method is based on the derivation of an explicit formula for the occupation measure in the onebody kineticenergy eigenstates which describes the repartition of particles among these nonrandom states.
This technique can be adapted to reexamine
the properties of the perfect Bose gas in the presence of weak (scaled) nonrandom potentials, for which we
establish similar results.
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