Squeezed Coherent States in Double Optical Resonance

George Mouloudakis,Peter Lambropoulos

doi:10.3390/photonics8030072

George Mouloudakis, Peter Lambropoulos

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https://doi.org/10.3390/photonics8030072

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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.

Highlights

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
We have examined the Autler–Townes splitting profile resulting from the strong driving of two bound atomic states by an Squeezed Coherent State” (SQCS)
Since squeezed radiation is not amenable to modeling in terms of classical stochastic processes, we adopted a fully quantum mechanical treatment in terms of the resolvent operator and averaged the population of the probe state over the photon number distribution of the SQCS in the zero-bandwidth limit, i.e., in the limit where the bandwidth of the squeezed field is sufficiently smaller than the natural decay of the excited state

Summary

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Citation: Mouloudakis, G.; Lambropoulos, P. Squeezed CoherentStates in Double Optical Resonance.Photonics 2021, 8, 72. https://doi.org/10.3390/photonics8030072Received: 4 February 2021Accepted: 26 February 2021Published: 5 March 2021Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations.Licensee MDPI, Basel, Switzerland.Attribution (CC BY) license (https://creativecommons.org/licenses/by/

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