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AIP Advances

Exploring magnetic field impacts on electromagnetically induced transparency: Decoherence and nonlinear effects in rubidium vapor

Jin Wang, Amy Krause

Published Mar 1, 2025• 0 citations
Publisher

Abstract

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.

DOI
10.1063/9.0000874

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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.
Electromagnetically Induced Transparency (EIT) has proven to be an invaluable resource for numerous applications in quantum technology, specifically in quantum memories, quantum repeaters, and quantum sensors. EIT also has significant applications in fundamental physics and nonlinear optics. Given that EIT is a foundational component of future quantum technology, a comprehensive understanding of its parameters is essential for the development of future devices. This thesis focuses on the transient dynamics of EIT, specifically examining oscillations in the absorption of the Probe Field (PF) as a means to determine the decoherence of the ground states. Transient EIT has been explored in previous theoretical and experimental studies across various systems, including Cold Atoms (CAs) and hot vapor media. Here, transient EIT is studied theoretically, numerically, and experimentally. Parameter exploration has been conducted to understand the effects of different parameters on the transient behavior of EIT and to identify which decoherence mechanisms have the most significant impact on the quality of EIT. Experimentally, we explored a hot atomic vapour of, naturally abundant Rubidium (Rb) atoms. Additionally, progress towards constructing a CAs system, using a Magneto-Optical Trap (MOT) from scratch was made, opening the door to future studies of this system.
This article develops a model that shows the effects of decoherence originating from both dephasing and population relaxation on rubidium vapor in the electromagnetically induced transparency regime. This article quantifies the effect of decoherence on the large Faraday rotation, susceptibility, transmission, population, and coherence relationships of the system. The model derived in this article is in excellent agreement with experimental results [H. Gao, M. Rosenberry, J. Wang, and H. Batelaan, J. Phys. B 38, 1857 (2005)]. The total decoherence rate for the experiment has been found by fitting the experimental data to the model. This article also includes a discussion of other types of experiments that this model could be adapted to, such as dipole-induced transmission and the detection of single atoms.
We report on experimental and theoretical study of the nonlinear Faraday effect under conditions of electromagnetically induced transparency at the $5{S}_{1/2}\ensuremath{\rightarrow}5{P}_{3/2}\ensuremath{\rightarrow}5{D}_{5/2}$ two-photon transition in rubidium vapor. These transitions realize the inverted YYY model which combines the $\ensuremath{\Lambda}$ and ladder systems. Strong nonlinearity allowing for large rotation angles of a probe beam tuned to the $S\ensuremath{\rightarrow}P$ transition was obtained by creation of quantum superpositions of magnetic sublevels (Zeeman coherences) in the rubidium ground state ($\ensuremath{\Lambda}$ scheme). Additionally, electromagnetically induced transparency was accomplished in a ladder scheme by acting with a second strong coupling laser on the $P\ensuremath{\rightarrow}D$ transition. Under conditions of a two-photon resonance the rotation was significantly reduced, which is interpreted as a competition between the coherent processes. The effect was observed in sub-Gauss magnetic fields and could be used for efficient coherent control of generation of the ground-state coherences, e.g., for controlling the polarization state of the probe light.
By employing the density matrix approach, this study systematically examines the impact of a longitudinal magnetic field on electromagnetically induced transparency (EIT) within the context of the effective three-level Zeeman sublevels associated with the D2-line of 87Rb atomic vapor. Our investigation reveals that a sufficient enhancement in the longitudinal magnetic field induces a discernible narrowing of the EIT linewidth, accompanied by an enhancement in the peak transmission through a Rubidium (Rb) vapor cell. Related to these, we analyse the effect of magnetic field on the dispersive properties of the system, including group delay and group velocity and observed a slight decrement in the group delay and increment in the group velocity, which specifies the transition from slow to fast light under the application of the magnetic field.
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.