Engineering nonlinear boson-boson interactions using mediating spin systems

TL;DR

This paper proposes a method to engineer nonlinear interactions between bosonic systems using mediating spins, enabling the creation of entangled states and N00N states with potential applications in quantum information processing.

Contribution

The authors introduce a protocol to generate effective bosonic interactions mediated by spins, allowing flexible creation of entangled and N00N states, validated through numerical simulations.

Findings

Successful simulation of entanglement generation

Ability to produce N00N states via nonlinear beam splitter interactions

Effective control of bosonic interactions through spin tuning

Abstract

We present a protocol to create entangled coherent states by engineering cross-Kerr interactions between bosonic systems endowed with (externally driven) internal spin-like degrees of freedom. With slight modifications, the protocol is also able to produce N00N states through nonlinear beam splitter interactions. Each bosonic system interacts locally with its spin and by suitably tuning the model parameters, various classes of effective bosonic interaction Hamiltonians, mediated by the coupled spins, can be engineered. Our approach is benchmarked by numerical simulations aimed at studying the entanglement within a bosonic register and comparing it with the expected one resulting from the target Hamiltonians.