The Gross-Pitaevskii functional with a random background potential and condensation in the single particle ground state

Physics – Mathematical Physics

Scientific paper

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This version corrects a mistake in the proof of Lemma 5

Scientific paper

For discrete and continuous Gross-Pitaevskii energy functionals with a random
background potential, we study the Gross-Pitaevskii ground state. We
characterize a regime of interaction coupling when the Gross-Pitaevskii ground
state and the ground state of the random background Hamiltonian asymptotically
coincide.

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