2006/03/11 by Durdu Ö. Güney, David A. Meyer · 1 citation
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1364/josab.24.000283
published as J. Opt. Soc. Am. B 24, 283-294 (2007) · 18 pages, 13 figures
arxiv created 2006/03/11 · arxiv updated 2015/06/26
We solve the Jaynes-Cummings Hamiltonian with time-dependent coupling parameters under dipole and rotating-wave approximation for a three-dimensional (3D) photonic crystal (PC) single mode cavity with a sufficiently high quality (Q) factor. We then exploit the results to show how to create a maximally entangled state of two atoms, and how to implement several quantum logic gates: a dual-rail Hadamard gate, a dual-rail NOT gate, and a SWAP gate. The atoms in all of these operations are syncronized, which is not the case in previous studies [1,2] in PCs. Our method has the potential for extension to N-atom entanglement, universal quantum logic operations, and the implementation of other useful, cavity QED based quantum information processing tasks.