Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)


SIGMA 2 (2006), 050, 10 pages      quant-ph/0605091      http://dx.doi.org/10.3842/SIGMA.2006.050

Perturbative Treatment of the Evolution Operator Associated with Raman Couplings

Benedetto Militello a, Paolo Aniello b and Antonino Messina a
a) INFM, MIUR and Dipartimento di Scienze Fisiche ed Astronomiche dell'Università di Palermo, Via Archirafi, 36 - 90123 Palermo, Italy
b) Dipartimento di Scienze Fisiche dell'Università di Napoli `Federico II' and INFN Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Via Cintia - 80126 Napoli, Italy

Received November 02, 2005, in final form April 13, 2006; Published online May 10, 2006

Abstract
A novel perturbative treatment of the time evolution operator of a quantum system is applied to the model describing a Raman-driven trapped ion in order to obtain a suitable 'effective model'. It is shown that the associated effective Hamiltonian describes the system dynamics up to a certain transformation which may be interpreted as a 'dynamical dressing' of the effective model.

Key words: perturbation theory; time-dependent problems; Raman couplings.

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