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Optics Letters

High-efficiency four-wave mixing beyond pure electromagnetically induced transparency treatment

Hai‐Chao Li, Guo-Qin Ge, Muhammad Suhail Zubairy

Published Jul 9, 2019• 10 citations
Publisher

Abstract

We present a theoretical study of high-efficiency four-wave mixing (FWM) sum-frequency generation beyond a pure electromagnetically induced transparency (EIT) technique in a five-level atomic system. In our FWM scheme, with the assistance of two Λ-type subsystems utilized to create EIT and Autler-Townes splitting (ATS), a synergetic mechanism of EIT and ATS, or a dual-ATS mechanism is induced. These novel mechanisms can have a significant impact on the FWM process in the optically thick medium, and the FWM efficiency can be several orders of magnitude larger than that obtained from the pure EIT method. This Letter opens up a new perspective for exploring enhanced quantum nonlinear optical phenomena.

DOI
10.1364/ol.44.003486

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We present a theoretical study of high-efficiency four-wave mixing (FWM) sum-frequency generation beyond a pure electromagnetically induced transparency (EIT) technique in a five-level atomic system. In our FWM scheme, with the assistance of two Λ-type subsystems utilized to create EIT and Autler-Townes splitting (ATS), a synergetic mechanism of EIT and ATS, or a dual-ATS mechanism is induced. These novel mechanisms can have a significant impact on the FWM process in the optically thick medium, and the FWM efficiency can be several orders of magnitude larger than that obtained from the pure EIT method. This Letter opens up a new perspective for exploring enhanced quantum nonlinear optical phenomena.
We have analyzed a five-level Λ-configuration four-wave mixing (FWM) scheme for obtaining high-efficiency FWM based on the two-electromagnetically induced transparency (EIT) in the ultraslow propagation regime. We find that the maximum FWM efficiency is nearly 30%, which is orders of magnitude larger than previous schemes based on the two-EIT. Our scheme allows the possibility for new technological applications such as nonlinear spectroscopy at very low light intensity, quantum single-photon nonlinear optics and quantum information science.
Exploring enhanced nonlinear optics based on electromagnetically induced transparency (EIT) has always been one of the striking issues in cavity quantum electrodynamics. However, it is not clear whether the validity of EIT in enhancing nonlinear processes is universal. In this paper we demonstrate an efficient frequency conversion scheme via Autler-Townes splitting, instead of the so-called EIT mechanism, in a three-level quantum system. Because the selective system can be used to implement the conventional three-level EIT phenomenon, we present a direct evidence for the breakdown of nonlinear processes assisted by EIT. This strongly suggests that previously physical insight into the application of the standard EIT technique in nonlinear optics is not sufficient enough.
Abstract Discerning electromagnetically induced transparency (EIT) from Autler–Townes splitting (ATS) is a significant issue in quantum optics and has attracted wide attention in various three-level configurations. Here we present a detailed study of EIT and ATS in a five-level atomic system considered to be composed of a four-level Y-type subsystem and a three-level Λ-type subsystem. In our theoretical calculations with standard density matrix formalism and steady-state approximation, we obtain the general analytical expression of the first-order matrix element responsible for the probe-field absorption. In light of the well-known three-level EIT and ATS criteria, we numerically show an intersection of EIT with ATS for the Y-type subsystem. Furthermore, we show that an EIT dip is sandwiched between two ATS dips (i.e., multi-dip mixture of EIT and ATS) in the absorption line for the five-level system, which can be explained by the dressed-state theory and Fano interference.
We demonstrate Autler-Townes (AT) splitting of four-wave mixing in an electromagnetically induced transparency window, which results from the destructive interference between a three-photon process and a five-photon process. The primary and secondary AT splittings are achieved via induced atomic coherence in a four-level Y-type atomic system. Theoretical calculations fit well with the experimentally measured results. Such controlled multichannel splitting of nonlinear optical signals can have potential applications in optical communication and quantum information processing.
We propose a scheme to exchange optical vortices beyond electromagnetically induced transparency (EIT) but based on four-wave mixing (FWM) in a five-level atomic system consisting of two Λ subsystems linked via a weak driving field. When the laser fields are strong enough, the quantum interference responsible for the EIT in each Λ subsystem is washed out, giving rise to the Autler-Townes splitting (ATS). When only one of the control fields carries an optical vortex, it is shown that the generated FWM field obtains the vorticity of the vortex control. We distinguish between three different regimes, i.e., a pure EIT, a joint EIT-ATS, and a dual-ATS, where the optical angular momentum (OAM) translation can take place. Elaborating on the distinction between three regimes through numerical analysis, we find that the maximum energy conversion efficiency is obtained in the joint EIT-ATS and dual-ATS regimes. The latter is more favorable as the absorption losses vanish as the beam propagates into the atomic cloud. The results may find applications in the implementation of high-efficient frequency and OAM conversion devices for quantum information processing.
We analyze a four-wave-mixing (FWM) scheme in a five-level atomic system based on electromagnetically induced transparency (EIT). We show that EIT suppresses both two-photon and three-photon absorptions in the FWM scheme and enables the four-wave mixing to proceed through real, resonant intermediate states without absorption loss. The scheme results in a several orders of magnitude increase in the FWM efficiency in comparison with a recent scheme [Phys. Rev. Lett. 88, 143902 (2002)] and may be used for generating short-wavelength radiation at low pump intensities.