Generation of two-dimensional cluster states by using high-finesse bimodal cavities
Denis Gonţa, Thomas Radtke, S. Fritzsche · Physical Review A · 2009
We propose two schemes to generate the two-dimensional $2\ifmmode\times\else\texttimes\fi{}N$ and $3\ifmmode\times\else\texttimes\fi{}N$ cluster states by using a chain of (two-level) Rydberg atoms in the framework of cavity QED. These schemes work in a completely deterministic way and are based on the resonant interaction of the atoms in a chain with a bimodal cavity that supports two independent modes of the photon field. We demonstrate that a $2\ifmmode\times\else\texttimes\fi{}N$ cluster state can be generated efficiently with only a single bimodal cavity, while two such cavities are needed to produce a $3\ifmmode\times\else\texttimes\fi{}N$ cluster state. It is shown, moreover, how these schemes can be extended toward the generation of $M\ifmmode\times\else\texttimes\fi{}N$ two-dimensional cluster states.