We propose a novel scheme for the efficient production of entangled states for $N$ photons of the form $|N{⟩}_a|0{⟩}_b+|0{⟩}_a|N{⟩}_b$ (NOON states) based on the resonant interaction of a pair of quantized cavity modes with an ensemble of atoms. We show that, in the strong-coupling regime, the adiabatic evolution of the system tends to a limiting state that describes mesoscopic entanglement between photons and atoms which can easily be converted to a purely photonic or atomic NOON state. We also demonstrate the remarkable property that the efficiency of this scheme increases exponentially with the cavity cooperativity factor, which gives efficient access to high number NOON states. The experimental feasibility of the scheme is discussed, and its efficiency is demonstrated numerically.

• Received 29 November 2011

DOI:https://doi.org/10.1103/PhysRevLett.108.123603