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Inspired by the recent developments in the research of atom-photon quantuminterface and energy-time entanglement between single photon pulses, we proposeto establish the concept of a special energy-time entanglement between a singlephoton pulse and internal states of a single atom, which is analogous to thefrequency-bin entanglement between single photon pulses. We show that this typeof entanglement arises naturally in the interaction between frequency-binentangled single photon pulse pair and a single atom, via straightforwardatom-photon phase gate operations. We also discuss the properties of this typeof entanglement and show a preliminary example of its potential application inquantum networking. Moreover, a quantum entanglement witness is constructed todetect such entanglement from a reasonably large set of separable states.

A theoretical analysis of extending frequency-bin entanglement from photon-photon to atom-photon hybrid systems