A Hamiltonian is presented, which can be used to convert any asymmetric state ∣φ⟩a∣ϕ⟩b of two oscillators a and b into an entangled state. Furthermore, with this Hamiltonian and local operations only, two oscillators, initially in any asymmetric initial states, can be entangled with a third oscillator. The prepared entangled states can be engineered with an arbitrary degree of entanglement. A discussion on the realization of this Hamiltonian is given. Numerical simulations show that, with current circuit QED technology, it is feasible to generate high-fidelity entangled states of two microwave optical fields, such as entangled coherent states, entangled squeezed states, entangled coherent-squeezed states, and entangled cat states. Our finding opens a new avenue for creating not only two-color or three-color entanglement of light but also wave-like or particle-like entanglement or novel wave-like and particle-like hybrid entanglement.
@article{arxiv.1606.07167,
title = {Entangling two oscillators with arbitrary asymmetric initial states},
author = {Chui-Ping Yang and Qi-Ping Su and Shi-Biao Zheng and Franco Nori and Siyuan Han},
journal= {arXiv preprint arXiv:1606.07167},
year = {2017}
}