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

Frédéric Klopp (1) , Bernd Metzger (1)

1 LAGA - Laboratoire Analyse, Géométrie et Applications

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.

Mots clés: Gross-Pitaevski functional; ground state energy; ground state; Bose-Einstein condensation

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Frédéric Klopp, Bernd Metzger. The Gross-Pitaevskii functional with a random background potential and condensation in the single particle ground state. 2009. ⟨hal-00424415v1⟩