Fragmented many-body ground states for scalar bosons in a single trap

TL;DR

This paper explores the conditions under which scalar bosons in a single trap exhibit fragmented many-body ground states due to anisotropic long-range interactions, revealing stability and robustness of fragmentation.

Contribution

It demonstrates that fragmentation can occur in a single trap with positive interactions and is insensitive to small perturbations, advancing understanding of many-body ground states.

Findings

Fragmentation occurs in a single trap for positive interactions.

The degree of fragmentation is robust against small perturbations.

System stability is implied by the presence of fragmentation.

Abstract

We investigate whether the many-body ground states of bosons in a generalized two-mode model with localized inhomogeneous single-particle orbitals and anisotropic long-range interactions (e.g. dipole-dipole interactions), are coherent or fragmented. It is demonstrated that fragmentation can take place in a single trap for positive values of the interaction couplings, implying that the system is potentially stable. Furthermore, the degree of fragmentation is shown to be insensitive to small perturbations on the single-particle level.