Robustness of fragmented condensate many-body states for continuous distribution amplitudes in Fock space

TL;DR

This paper demonstrates that fragmented many-body states with continuous Fock-space distributions in a two-mode bosonic system are robust against various perturbations, including fluctuations, tunneling, and orbital parity breaking.

Contribution

It introduces a detailed analysis showing the robustness of continuous-distribution fragmented states in a two-mode bosonic model under multiple perturbations.

Findings

Fragmented states are stable against occupation number and phase fluctuations.

Robustness persists despite Josephson tunneling and orbital parity breaking.

States remain resilient even with weak interactions with a third mode.

Abstract

We consider a two-mode model describing scalar bosons with two-body interactions in a single trap, taking into account coherent pair-exchange between the modes. It is demonstrated that the resulting fragmented many-body states with continuous (nonsingular) Fock-space distribution amplitudes are robust against perturbations due to occupation number and relative phase fluctuations, Josephson-type tunneling between the modes, and weakly broken parity of orbitals, as well as against perturbations due to interaction with a third mode.