Perfect function transfer and interference effects in interacting boson lattices

Understand

We show how to perfectly transfer, without state initialization and remote collaboration, arbitrary functions in interacting boson lattices.

• We describe a possible implementation of state transfer through bosonic atoms trapped in optical lattices or polaritons in on-chip coupled cavities.
• Significantly, a family of Hamiltonians, both linear and nonlinear, is found which are related to the Bose-Hubbard model and that enable the perfect transfer of arbitrary functions.
• It is shown that the state transfer between two sites in two-dimensional lattices can result in quantum interference due to the different numbers of intermediate sites in different paths.