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We propose a simple technique to generate entanglement between distantcavities by using entanglement swapping involving atomic momenta. For theproposed scheme, we have two identical atoms, both initially in their groundstate, each incident on far apart cavities with particular initial momenta. Thetwo cavities are prepared initially in superposition of zero and one photonstate. First, we interact each atom with a cavity in dispersive way. Theinteraction results into atom-field entangled state. Then we perform EPR statemeasurement on both atomic momenta state which is an analog of Bellmeasurement. The EPR state measurement is designed by passing the atoms throughcavity beam splitters which transfers the atomic momentum state intosuperposition state. Finally, these atoms are detected by the detector. Afterthe detection of the atoms, we can distinguish that cavities in one of the Bellstates. This process leads to two distant cavity fields entanglement.

Long Distance Cavity Entanglement by Entanglement Swapping Using Atomic Momenta