Open AccessApplication of the Magnus and Fer expansions to a perturbative study of the time dependent Jaynes Cummings Model
Author(s) -
Tamoghna Das,
Aparajita Dasgupta
Publication year - 2018
Publication title -
journal of advances in physics
Language(s) - English
Resource type - Journals
ISSN - 2347-3487
DOI - 10.24297/jap.v15i0.7965
Subject(s) - hamiltonian (control theory) , perturbation (astronomy) , physics , exact solutions in general relativity , perturbation theory (quantum mechanics) , mathematical physics , mathematics , quantum mechanics , mathematical optimization
We apply the Magnus and Fer perturbation methods to Jaynes Cummings Model (JCM) with linear time dependence and show that the perturbation methods yield results which are appreciably close to the results obtained by Wei-Norman method, leading to exact solution when the Hamiltonian under consideration is an element of su(2), thus making the perturbation methods important for Hamiltonians for which a method of exact solution is not available.