With the mechanism of pairwise scattering of photons between two atoms, we propose a novel scheme to highly entangle the motional state between two ultracold neutral atoms by a single photon scattering and detection. Under certain conditions, it is shown that an arbitrary amount of entanglement can be obtained with this scheme.
The mechanism of pairwise scattering of photons with cold atoms is investigated. We show that considerable motional correlation can be established between atoms during the scattering process, which can effectively squeeze the scattering spectrum and can be utilized to produce highly entangled atomic wave packet. Under certain conditions, the atomic momentum entanglement can be efficiently enhanced beyond the 1 entanglement bit limit (known as 1ebit, e.g., a Bell singlet state) with only single-photon scattering and detection.
A scheme for entangling distant atoms is realized, as proposed in the seminal paper by [C. Cabrillo et al., Phys. Rev. A 59, 1025 (1999)]. The protocol is based on quantum interference and detection of a single photon scattered from two effectively one meter distant laser cooled and trapped atomic ions. The detection of a single photon heralds entanglement of two internal states of the trapped ions with high rate and with a fidelity limited mostly by atomic motion. Control of the entangled state phase is demonstrated by changing the path length of the single-photon interferometer.
We show a mechanism that projects a pair of neutral two-level atoms from an initially uncorrelated state to a maximally entangled state while they remain spacelike separated. The atoms begin both excited in a common electromagnetic vacuum, and the radiation is collected with a partial Bell-state analyzer. If the interaction time is short enough and a certain two-photon Bell state is detected after the interaction, a high degree of entanglement, even maximal, can be generated while one atom is outside the light cone of the other, for arbitrary large interatomic distances.