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

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.

7 pages of RevTex4-1, 7 figures

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• Protected cat states from kinetic driving of a boson gas
• Extended Bose-Hubbard model with pair tunneling: spontaneous symmetry breaking, effective ground state and fragmentation
• Bosons condensed in two modes with flavour-changing interaction
• Many-body quantum metrology with scalar bosons in a single potential well
• Dynamical Quantum Phase Transitions in Interacting Atomic Interferometers