Effects of atomic coherences in the Jaynes-Cummings model: Photon statistics and entropy

Abstract

The Mandel Q factor, antibunching efFect, and entropy are calculated for the Jaynes-Cummings model with the atom being initially in a coherent superposition of the upper and lower states. The value of Mandel's Q factor in the collapse region is found and compared with the behavior of the field entropy. PACS number(s): 42.50.Dv, 03.65.w, 42.52. +x

Influence of field dynamics on Rabi oscillations: beyond the standard semiclassical Jaynes-Cummings model

“…In ®gure 2 we have plotted the time evolution of the ®eld phase ¬…t †, computed numerically from the exact solution (17). We can see that this phase is almost a linear function, with small superimposed oscillations that can be noticed only for small values of n 0 : the greater n 0 , the smaller the growth of ¬…t †.…”

“…Considerable attention has been paid to the statistical properties of the ®eld in the JCM [16,17]. However, given the di erent treatment of the ®eld variables, in order to compare the semiclassical and quantum versions of the model, it seems more appropriate to focus on the behaviour of atomic variables.…”

State Evolution in the Two-photon Jaynes-Cummings Model with Initial Squeezed Vacuum and Chaotic Fields

“…Equation (15) shows that if the atom is initially fully excited (de-excited), it will be forms Pfi(0) = I Pn,m(0 )In)(mI, (8) and n, m Pat = ( Pee Pe g (9) Pg , Pgg switched down (up) at times t42k>, but remains in a pure state . For other initial atomic states, the atom becomes completely mixed at these times .…”

“…Using the entropy concepts, Orszag, Retamal, and Saavedra have pointed out that the pure atomic state can be generated even from the initially mixed ones [7] . In [8] we have also shown that the entropy may give a better understanding of the evolution of the field statistics .…”

Surface Observation of a Potassium-Doped C60 Thin Film by Scanning Tunneling Microscopy

“…Singh [9] studied antibunching in resonance fluorescence in both stationary and transient nonstationary regimes. Dung et al [10] and Aliskenderov et al [11] analysed the non-stationary-field antibunching effects in the Jaynes-Cummings model, whereas Feng et al [12] studied the photon-antibunching effects in the model of light propagation through a nonlinear fibre with gain.…”