Abstract
The effects of photon bunching and antibunching correspond to the classical and quantum features of the electromagnetic field, respectively. No direct evidence suggests whether these effects can be potentially related to quantum entanglement. Here we design a cavity quantum electrodynamics model with two atoms trapped in to demonstrate the connections between the steady-state photon statistics and the two-atom entanglement. It is found that within the weak dissipations and to some good approximation, the local maximal two-atom entanglements perfectly correspond to not only the quantum feature of the electromagnetic field—the optimal photon antibunching, but also the classical feature—the optimal photon bunching. We also analyze the influence of strong dissipations and pure dephasing. An intuitive physical understanding is also given finally.
Highlights
The effects of photon bunching and antibunching correspond to the classical and quantum features of the electromagnetic field, respectively
We find that the maximal steady-state atomic entanglements as the quantum feature just correspond to the quantum feature of the cavity field, that is, the local optimal photon antibunching
We have analyzed the physical mechanisms of photon statistics and entanglement in detail
Summary
The effects of photon bunching and antibunching correspond to the classical and quantum features of the electromagnetic field, respectively. It is found that within the weak dissipations and to some good approximation, the local maximal two-atom entanglements perfectly correspond to the quantum feature of the electromagnetic field—the optimal photon antibunching, and the classical feature—the optimal photon bunching. Even though the mechanism of photon statistics is clear, intuitively, there is no proof that photon antibunching and bunching have any direct relation with entanglement. We find that the maximal steady-state atomic entanglements as the quantum feature just correspond to the quantum feature of the cavity field, that is, the local optimal photon antibunching. It is surprising that the local maximal steady-state atomic entanglements perfectly correspond to the classical feature of the field, that is, the photon bunching. The intuitive physical analysis and some further discussions are provided
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