Time-dependent multi-orbital mean-field for fragmented Bose-Einstein condensates

Abstract

The evolution of Bose-Einstein condensates is usually described by the famous time-dependent Gross-Pitaevskii equation, which assumes all bosons to reside in a single time-dependent orbital. In the present work we address the evolution of fragmented condensates, for which two (or more) orbitals are occupied, and derive a corresponding time-dependent multi-orbital mean-field theory. We call our theory TDMF($n$), where $n$ stands for the number of evolving fragments. Working equations for a general two-body interaction between the bosons are explicitly presented along with an illustrative numerical example.

16 pages, 1 figure

References in corpus (3)

• Fragmentation of Bose-Einstein Condensates
• General variational many-body theory with complete self-consistency for trapped bosonic systems
• Best mean-field for condensates

Cited by in corpus (5)

• The multi-configurational time-dependent Hartree method for bosons: Many-body dynamics of bosonic systems
• Many-body theory for systems with particle conversion: Extending the multiconfigurational time-dependent Hartree method
• Interferences in the density of two Bose-Einstein condensates consisting of identical or different atoms
• Time-dependent quantum many-body theory of identical bosons in a double well: Early time ballistic interferences of fragmented and number entangled states
• Build-up of coherence between initially-independent subsystems: The case of Bose-Einstein condensates