2005/11/30 by F. L. Semião, F. L. Semiao, A. Vidiella-Barranco
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Information and Cryptography #Quantum optics and atomic interactions #quant-ph
paper · pdf · doi:10.1103/physreva.72.064305
published as Phys. Rev. A 72, 064305 (2005) · Included discussion of faster gates (Lamb-Dicke regime), Corrected typos, and Added references
openalex publication_date 2005/12/16 · arxiv created 2005/12/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We derive an effective Hamiltonian that describes a cross-Kerr-type interaction in a system involving a two-level trapped ion coupled to the quantized field inside a cavity. We assume a large detuning between the ion and field (dispersive limit) and this results in an interaction Hamiltonian involving the product of the (bosonic) ionic vibrational motion and field number operators. We also demonstrate the feasibility of operation of a phase gate based on our Hamiltonian. The gate is insensitive to spontaneous emission, an important feature for the practical implementation of quantum computing.