Exactly solvable approximating models for Rabi Hamiltonian dynamics.
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.
Pereverzev
Andrey
A
Department of Chemistry and Center for Materials Chemistry, University of Houston, Houston, TX 77204, USA. aperever@mail.uh.edu
Bittner
Eric R
ER
D055592:Biophysical Phenomena; D001703:Biophysics; D008433:Mathematics; D008962:Models, Theoretical; D055095:Optics and Photonics; D011336:Probability; D011789:Quantum Theory; D012996:Solutions
D012996:Solutions