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Disordered Bose–Einstein condensates with interaction in one dimension

Disordered Bose–Einstein condensates with interaction in one dimension

We study the effects of random scatterers on the ground state of the one-dimensional Lieb–Liniger model of interacting bosons on the unit interval in the Gross–Pitaevskii regime. We prove that Bose–Einstein condensation survives even a strong random potential with a high density of scatterers. The character of the wavefunction of …