GrossāPitaevskii dynamics for BoseāEinstein condensates
GrossāPitaevskii dynamics for BoseāEinstein condensates
We study the time-evolution of initially trapped Bose-Einstein condensates in the Gross-Pitaevskii regime. Under a physically motivated assumption on the energy of the initial data, we show that condensation is preserved by the many-body evolution and that the dynamics of the condensate wave function can be described by the time-dependent ā¦