The onset of nonrotating wave effects for reactive collisions in a laser field

Abstract

A simple model study of reactive collisions in an intense nonresonant laser field

Dynamics of the Jaynes–Cummings and Rabi models: old wine in new bottles

“…The "adiabatic limit" in the JC model is generally taken as ∆ ≫ g 0 √ n. It has been shown [65] that this limit governs adiabatic evolution, but that this is not the only possibility. Expanding the solutions (27) and (30) to first order in g 0 √ n/∆ reproduce the familiar results from "adiabatic elimination" in the JC model [66].…”

“…This, of course, also applies to the Rabi model, and in [37] it is shown, in a perturbative way, that the spectrum of the Rabi model approaches an equidistant one in the strong coupling limit. Whenn is decreased the linearization of the energies (30) is no longer justified, which as well follows from the fact that the adiabatic approximation breaks down in such regimes.…”

“…There seems to be two different energy spacings between the peaks, one slightly larger and one slightly lower than ǫ = 1. In the JC model this is easily understood from the analytic expression (30) for the energies, which for large values on n can be linearly approximated over short n-intervals. From the fact that n ≫ 1 it follows that also q ≫ 1 and we are in the adiabatic regime, where the potential curves are well described by two centered harmonic oscillators with frequencies slightly larger and smaller than one.…”

“…The neglection of the counter-rotating terms may have interesting physical consequencies on nonlocality and causality [19]. The effect of the RWA in other systems has been studied, and to mention a few, trapping of atoms by light [20], driven Rabi model [21], multi-level atoms and/or fields [22], the micromaser [25] semiclassical Rabi models [26], transition between vibrational states in a water molecule [23], dipolar molecules [24], light-matter interaction [27], electromagnetically and self induced transparency [28,29] and laser modified collisions [30].…”