Pairing superbunching with compounded nonlinearity in a resonant transition

Squeezed Coherent States in Double Optical Resonance

“…In Figure 5b, we plot the population of the probe state when the strong field is initially prepared in an SQVS. In agreement with previous work [59], we notice that the positions of the peaks are rather insensitive to the increasing of the squeezing parameter (translated to intensity in [59]), while the widths of the peaks are significantly increased, as one would expect by inspecting the SQVS variance for increasing r. From a physical viewpoint, this sharp increase of the width is due to the superbunching effect inherent in squeezed vacuum sources, translated to strong intensity fluctuations that smear out the profile. Note that the exact shape of the profile also depends on the choice of the coupling strength g 1 , which is however chosen to be the same through all of our calculations (g 1 = 0.7γ), providing us the ability for straightforward comparison between the profiles of different figures.…”

“…In particular, we showed that for Φ = 0, the profile becomes significantly broader with the increase of r, while under the same values of parameters, but with Φ = π/2, increasing r up to two results in a profile resembling the one acquired with coherent driving. This degree of squeezing is well within today's squeezing capabilities, while the intensities necessary for the observation of single-photon Stark splitting in atomic systems are of the order of 1 W/cm 2 [59]. The case of extreme squeezing was also investigated, revealing unusual distortions of the splitting profile, as well as the cases of SQVS driving and off-resonant strong driving resulting in an asymmetric profile.…”

“…We should note that the peaks of the resulting profile are not separated by the Rabi frequency corresponding to the mode of the photon number distribution, nor the Rabi frequency corresponding to its mean photon number, given by the relationn = |a| 2 + (sinh r) 2 , for every Φ. As argued in previous work, the exact shape of the resulting profile stems from a complex interplay between the properties of the probe state population function associated with the order of the process and the structure of the photon probability distributions of the driving field [59]. The behavior of the mode as a function of r and different values of Φ can however give us good evidence for the expected behavior of the position of the peaks.…”

“…In a recent work [59], we studied the single-and two-photon Autler-Townes splitting profile in realistic atomic transitions driven by bunched and superbunched radiation and obtained a counterintuitive behavior resulting from the complex interplay between the form of the photon probability distributions of the squeezed vacuum and chaotic fields and the compounded non-linearity of the system, arising both from the strong driving and the order of the process. Our results indicated that much has to be still discovered concerning the strong interaction between atoms and non-classical radiation.…”

Strong laser physics, non-classical light states and quantum information science

“…Also theoretical investigations in strongly laser driven quantum correlated materials [189,193], and proposals towards the implementation of the approach in relativistic laser plasma interactions [194] have been reported. Furthermore, recent developments on the generation of high intensity squeezed light sources [195][196][197][198] have initiated experimental and theoretical investigations on the influence of the quantum features of these light states on the multi-photon processes [196,197], as well as, theoretical studies on the influence of the quantum noise of a squeezed light field on the HHG process [199].…”