N-level Atom Interacting with Single-mode Radiation Field: An Exactly Solvable Model with Multiphoton Transitions and Intensity-dependent Coupling

The Jaynes-Cummings Model

“…The periodicities of the two-photon interaction, like the revivals of the standard JCM, offer direct evidence for the discreteness of photons . Such periodic revivals are also obtained in the intensity-dependent interaction of Buck and Sukumar (1981), considered by Singh (1982) and by Buzek (1989Buzek ( , 1990 and Buzek and Jex (1989 a), R=a(ata) 1 i 2 .…”

Schrödinger-cat states of the electromagnetic field and multilevel atoms

“…When the field is initially a coherent state the Rabi oscillations undergo collapse and revival. Buzek, examining a ladder JCM [24], found regularities in the collapse-revival pattern. The present results provide a graphical explanation for these results.…”

“…Both transitions are taken to be resonant and the two transition dipole moments are chosen to be equal, so that the two transitions have equal strength. Here, and in all our plots, time is mea- (24) a measure of the deviation of the field from its initial Poissonian variance (Q = 1). We see that the weak intermediate revival (at 1 =220) has little influence on & n &, whereas the main revival has a noticeable eFect.…”

Dynamical Casimir effect in a cavity in the presence of a three-level atom

“…( 21)-( 23) determines the time scale εt of the evolution of the photon subsystem, as well as the atomic 1st and 3rd levels). If |g 2 | ≪ |g|, then |p 1n | 2 ∼ (g 2 /g) 4 for n ≥ 2, whereas |p 3n | 2 ∼ (g 2 /g) 2 for n ≥ 0, due to Eq. ( 24), so that the process of photon generation is correlated with the population of the third level.…”

“…The physics of three-level quantum systems ("atoms") interacting with quantized modes of electromagnetic field is very rich, and many special cases were studied in numerous papers (see, e.g., [1][2][3][4][5][6][7][8][9][10][11][12] and references therein). In the majority of studies, the coefficients of the Hamiltonians describing such systems were assumed timeindependent.…”