Level crossings in a cavity QED model

Abstract

In this paper I study the dynamics of a two-level atom interacting with a standing wave field. When the atom is subjected to a weak linear force, the problem can be turned into a time dependent one, and the evolution is understood from the band structure of the spectrum. The presence of level crossings in the spectrum gives rise to Bloch oscillations of the atomic motion. Here I investigate the effects of the atom-field detuning parameter. A variety of different level crossings are obtained by changing the magnitude of the detuning, and the behaviour of the atomic motion is strongly affected due to this. I also consider the situation in which the detuning is oscillating in time and its impact on the atomic motion. Wave packet simulations of the full problem are treated numerically and the results are compared with analytical solutions given by the standard Landau-Zener and the three-level Landau-Zener models.

The effective mass of the atom–radiation field system and the cavity-field Wigner distribution in the presence of a homogeneous gravitational field in the Jaynes–Cummings model

“…In the effective mass approach, this means that the atom is considered to move freely with the effective mass. Larson et al [5] showed that the effective mass is independent of time t and the time evolution of the atom-field system is governed by a time-independent Hamiltonian, when the influence of the gravitational field is not taken into account. The effective mass in the presence of the gravitational field defined as in [5], is in the form of the equation:…”

“…The effective mass approach is one of these theoretical schemes. Larson et al investigated the effect of the cavity on the atomic motion [5]. They introduced the effective mass parameter based on the Floquet theory [6][7][8].…”