title: Exactly solvable approximating models for Rabi Hamiltonian dynamics.
abstract: The interaction between an atom and a one mode external driving field is an ubiquitous problem in many branches of physics and is often modeled using the Rabi Hamiltonian. In this paper we present a series of analytically solvable Hamiltonians that approximate the Rabi Hamiltonian and compare our results to the Jaynes-Cummings model which neglects the so-called counter-rotating term in the Rabi Hamiltonian. Through a unitary transformation that diagonalizes the Jaynes-Cummings model, we transform the counter-rotating term into separate terms representing several different physical processes. By keeping only certain terms, we can achieve an excellent approximation to the exact dynamics within specified parameter ranges.
authors.affiliation: Department of Chemistry and Center for Materials Chemistry, University of Houston, Houston, TX 77204, USA. aperever@mail.uh.edu
authors.forename: Andrey
authors.initials: A
authors.lastname: Pereverzev
authors.forename: Eric R
authors.initials: ER
authors.lastname: Bittner
mesh_terms: D055592:Biophysical Phenomena; D001703:Biophysics; D008433:Mathematics; D008962:Models, Theoretical; D055095:Optics and Photonics; D011336:Probability; D011789:Quantum Theory; D012996:Solutions
chemical_list: D012996:Solutions