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Journal of Shanxi University

Experimental Investigation of Electromagnetically Induced Transparency Like Effect in RLC Circuits

Wei Dong

Published Jan 1, 2012• 0 citations
OpenAlex

Abstract

RLC circuits may used to simulate the phenomenon of Electromagnetically Induced Transparency(EIT) in atomic vapors.The EIT-like effect is observed in capacitor coupled RLC circuits due to the classical destructive interference,which is studied by examining the frequency dependence of the power transferred from the external generator to the resonant first loop.We investigated the effect of coupling strength and frequency detuning on EIT-like effect in two mesh circuits which used to analog three-level atom in the Λ configuration and in three mesh circuits which used to analog four-level atom in the inverted-Y and N configuration.

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Since a two-level resonant atomic system can be simulated by a simple circuit, three- and four-level electromagnetically induced transparency (EIT) that occur due to light-atom interaction can find its classical counterpart in circuit analog. As the optical response of an EIT atomic medium (including atomic vapors and semiconductor-quantum-dot dielectrics) can be controlled via tunable quantum interference induced by applied external control fields, in the scheme of circuit analog, such a controllable manipulation is achieved via capacitor coupling, where two loops are coupled by a capacitor that can represent the applied control fields in atomic EIT. Both numerical simulation and experimental demonstration of three- and four-level EIT were performed based on such a scenario of circuit analog. The classical “coherence” relevant to quantum interference among transitions pathways driven by both probe and control fields in EIT atomic systems has been manifested in the present circuit analog of EIT.

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Classical Analog of Electromagnetically Induced Transparency

Carlos L. Garrido Alzar, Martínez, M A G, Nussenzveig, P

We present a classical analog for Electromagnetically Induced Transparency (EIT). In a system of just two coupled harmonic oscillators subject to a harmonic driving force we can reproduce the phenomenology observed in EIT. We describe a simple experiment performed with two linearly coupled RLC circuits which can be taught in an undergraduate laboratory class.

•Jul 10, 2001•415 citations
RLC circuits may used to simulate the phenomenon of Electromagnetically Induced Transparency(EIT) in atomic vapors.The EIT-like effect is observed in capacitor coupled RLC circuits due to the classical destructive interference,which is studied by examining the frequency dependence of the power transferred from the external generator to the resonant first loop.We investigated the effect of coupling strength and frequency detuning on EIT-like effect in two mesh circuits which used to analog three-level atom in the Λ configuration and in three mesh circuits which used to analog four-level atom in the inverted-Y and N configuration.
Since a two-level resonant atomic system can be simulated by a simple circuit, three- and four-level electromagnetically induced transparency (EIT) that occur due to light-atom interaction can find its classical counterpart in circuit analog. As the optical response of an EIT atomic medium (including atomic vapors and semiconductor-quantum-dot dielectrics) can be controlled via tunable quantum interference induced by applied external control fields, in the scheme of circuit analog, such a controllable manipulation is achieved via capacitor coupling, where two loops are coupled by a capacitor that can represent the applied control fields in atomic EIT. Both numerical simulation and experimental demonstration of three- and four-level EIT were performed based on such a scenario of circuit analog. The classical “coherence” relevant to quantum interference among transitions pathways driven by both probe and control fields in EIT atomic systems has been manifested in the present circuit analog of EIT.
The phenomenon of electromagnetically induced transparency (EIT) in 85Rb atomic vapor is studied in a -type of four-level system with the coupling laser frequency detuned from the atomic resonance frequency. We find that the EIT intensity grows weaker as the coupling laser frequency is detuned from resonance, but the relative depth of the transparency window increases. The maximum depth appears when the coupling frequency is detuned at about +180 MHz, not at the resonance frequency. We demonstrate that this is a result of the combined effect of the two excited states, and present a theoretical analysis based on the four-level system, which agrees quite well with the experimental results.
This study explores electromagnetically induced transparency (EIT) with a focus on the influence of external magnetic fields, examining effects such as decoherence, Faraday rotation, coherence decay, and signal detuning. This model extends previous analyses by introducing dimensions of coherence decay across atomic densities, nonlinear Faraday rotation dependencies, and transmission responses to detuning. The findings show strong agreement with experimental observations in rubidium vapor systems and provide new insights relevant to applications in quantum memory, magnetic sensing, and optical modulation. Additionally, an analogy to classical RLC circuits is employed to offer an intuitive framework for understanding decoherence’s impact on EIT.
A large number of novel semiclassical and quantum optical effects and phenomena (e.g., coherent population trapping, electromagnetically induced transparency, spontaneous emission inhibition and lasing without population inversion) caused by atomic multi-level phase coherence can be found in three- and four-level atomic vapor media. Such phase coherence includes destructive and constructive quantum interference among various pathways of transition in the atomic systems. Since a simple RLC electric circuit can be used to simulate some resonant responses of a two-level atomic system (or two-state resonant systems), we will consider an analog of interference effect (phase coherence) in an electric circuit containing three RLC meshes for mimicking three- and four-level atomic systems. If certain magnitudes of capacitance and inductance parameters are chosen (or the capacitance and inductance are tuned), the destructive and constructive interference among currents in the circuit can be switched to each other. Thus, the analog of nearly all the quantum coherent effects relevant to a multi-level atomic system that interacts with optical fields can in principle be realized in the present multi-mesh RLC circuit.