Generation of long-living entanglement between two atoms passing by a microsphere

A scheme for deterministic generation of long-living maximally entangled states between two spatially well separated atoms is proposed[1,2]. In the scheme, $\Lambda$-type atoms pass a resonator-like equipment of dispersing and absorbing macroscopic bodies giving rise to body-assisted electromagnetic field resonances of well-defined heights and widths. Strong atom-field coupling is combined with weak atom-field coupling to realize entanglement transfer from the dipole-allowed transitions to the dipole-forbidden transitions, thereby the entanglement being preserved when the atoms depart from the bodies and from each other. The theory is applied to the case of the atoms passing by a microsphere[3,4]. [1] {\"O. \c{C}ak\i r, H.T. Dung, D.G. Welsch, L. Kn\"oll, {\it quant-ph/0410033} } [2] {M.A. Can, \"{O}. \c{C}ak{\i}r, A. Klyachko, and A. Shumovsky, Phys. Rev. A {\bf 68}, 022305 (2003). } [3] L. Kn\"{o}ll, S. Scheel, and D.-G. Welsch, in {\it Coherence and Statistics of Photons}, ed. J. Perina (Wiley, New York, 2001), p. 1 (for an update, see {\it quant-ph/0003121}). [4] Ho Trung Dung, S. Scheel, D.-G. Welsch, and L. Kn\"{o}ll, J. Opt B: Quantum Semiclass. Opt. {\bf 4}, 169 (2002).