2001/12/14 by Özgür E. Müstecaplıoğlu, Li You, Müstecaplıoğlu, Özgür E. +2
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Laser-Matter Interactions and Applications #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.48550/arxiv.cond-mat/0112276
7 figures, in press at PRA
arxiv created 2001/12/14 · openalex publication_date 2001/12/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a family of generalized unitary transformations that simplifies the Hamiltonian for a harmonically trapped two level atom (or ion) interacting with a plane wave laser field. Novel near resonant single as well as double vibrational phonon dynamical regimes are found. The validity condition of the often used motional rotating wave approximation (MRWA) is examined both numerically and analytically. Large errors are found within typical regimes of MRWA with respect to the motional degrees of freedom. The effects of MRWA in trapped ion systems are shown to be opposite to that of the rotating wave approximation (RWA) in the usual Jaynes-Cummings model. Our study points to a more restrictive condition on particle localization (Lamb-Dicke) parameter for the validity of MRWA in the single phonon dynamical regime. It also sheds new light on quantum information storage and processing with trapped atoms.