Perfect function transfer and interference effects in interacting boson lattices

TL;DR

This paper demonstrates perfect function transfer in interacting boson lattices, leveraging specific Hamiltonians related to the Bose-Hubbard model, with potential implementations in optical lattices and coupled cavities, revealing quantum interference effects.

Contribution

It introduces a method for perfect function transfer in boson lattices using Hamiltonians related to the Bose-Hubbard model, without requiring state initialization or remote collaboration.

Findings

Perfect transfer of arbitrary functions in boson lattices achieved.

Identification of Hamiltonians enabling perfect function transfer.

Quantum interference effects observed in two-dimensional lattice transfers.

Abstract

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. The signature factor in nuclear physics can be useful to characterize this quantum interference.