On some rigorous aspects of fragmented condensation

Understand

In this paper we discuss some aspects of fragmented condensation from a mathematical perspective.

• We first propose a simple way of characterizing finite fragmentation.
• Then, inspired by recent results of semiclassical analysis applied to bosonic systems with infinitely many degrees of freedom, we address the problem of persistence of fragmented condensation.
• We show that the latter occurs in interacting systems, in the mean-field regime, and in the limit of large gap of the one-body Hamiltonian.