Squeezed Coherent States in Double Optical Resonance

Abstract

In this work, we consider a “Λ-type” three-level system where the first transition is driven by a radiation field initially prepared in a squeezed coherent state, while the second one by a weak probe field. If the squeezed field is sufficiently strong to cause Stark splitting of the states it connects, such a splitting can be monitored through the population of the probe state, a scheme also known as “double optical resonance”. Our results deviate from the well-studied case of coherent driving indicating that the splitting profile shows great sensitivity to the value of the squeezing parameter, as well as its phase difference from the complex displacement parameter. The theory is cast in terms of the resolvent operator where both the atom and the radiation field are treated quantum mechanically, while the effects of squeezing are obtained by appropriate averaging over the photon number distribution of the squeezed coherent state.

Atomic and entanglement dynamics in the mixed squeezed coherent state version of the Jaynes-Cummings interaction

“…In the recent years, various studies have been carried out on the squeezed coherent states i.e., here the PSCS. Geore Moulouden and Peter Conbropoules have studied the Squeezed coherent states in double optical resonance [6]; Zhen Way et al, have investigated the statistical properties of photon-added two mode squeezed coherent states [7]. Studies have been done to create entangled coherent states by mixing squeezed vacuum and coherent light [8] and to find the time-evolution of squeezed coherent states of a generalized quantum parametric oscillator [9].…”