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.
@article{arxiv.quant-ph/0603087,
title = {Creation of Entanglement and Implementation of Quantum Logic Gate Operations Using a Three-Dimensional Photonic Crystal Single-Mode Cavity},
author = {Durdu Ö. Güney and David A. Meyer},
journal= {arXiv preprint arXiv:quant-ph/0603087},
year = {2015}
}