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Mechanical Probe for Electromagnetically Induced Transparency Through a Circuit

O. P. de Sá Neto, M. C. de Oliveira, Daniel Z. Rossatto

Published Feb 23, 2024• 1 citation
Publisher

Abstract

A three-level Transmon device, which mediates the capacitive coupling between a resonant transmission line and a nanoelectromechanical system, can be conceptually redefined as a Hamiltonian of a staircase configuration. From this, we solve the steady state of the Transmon level transition operators via the master equation with cascade decays, after which we conduct a detailed analysis of the resulting scattering and absorption spectra. By establishing specific relationships between the relevant coupling and decay constants, we noted the presence of a remarkable transparency window in the spectrum, attributed to the influence of mechanical proof. This distinctive structure is identified as Electromagnetically Induced Transparency, highlighting a peculiar interaction between the devices in the hybrid circuit.

DOI
10.1364/opticaopen.25267288.v1

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Mechanical Probe for Electromagnetically Induced Transparency Through a Circuit

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A three-level Transmon device, which mediates the capacitive coupling between a resonant transmission line and a nanoelectromechanical system, can be conceptually redefined as a Hamiltonian of a staircase configuration. From this, we solve the steady state of the Transmon level transition operators via the master equation with cascade decays, after which we conduct a detailed analysis of the resulting scattering and absorption spectra. By establishing specific relationships between the relevant coupling and decay constants, we noted the presence of a remarkable transparency window in the spectrum, attributed to the influence of mechanical proof. This distinctive structure is identified as Electromagnetically Induced Transparency, highlighting a peculiar interaction between the devices in the hybrid circuit.

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A three-level Transmon device, which mediates the capacitive coupling between a resonant transmission line and a nanoelectromechanical system, can be conceptually redefined as a Hamiltonian of a staircase configuration. From this, we solve the steady state of the Transmon level transition operators via the master equation with cascade decays, after which we conduct a detailed analysis of the resulting scattering and absorption spectra. By establishing specific relationships between the relevant coupling and decay constants, we noted the presence of a remarkable transparency window in the spectrum, attributed to the influence of mechanical proof. This distinctive structure is identified as Electromagnetically Induced Transparency, highlighting a peculiar interaction between the devices in the hybrid circuit.
A three-level Transmon device, which mediates the capacitive coupling between a resonant transmission line and a nanoelectromechanical system, can be conceptually redefined as a Hamiltonian of a staircase configuration. From this, we solve the steady state of the Transmon level transition operators via the master equation with cascade decays, after which we conduct a detailed analysis of the resulting scattering and absorption spectra. By establishing specific relationships between the relevant coupling and decay constants, we noted the presence of a remarkable transparency window in the spectrum, attributed to the influence of mechanical proof. This distinctive structure is identified as Electromagnetically Induced Transparency, highlighting a peculiar interaction between the devices in the hybrid circuit.
A three-level Transmon device, which mediates the capacitive coupling between a resonant transmission line and a nanoelectromechanical system, can be conceptually redefined as a Hamiltonian of a staircase configuration. From this, we solve the steady state of the Transmon level transition operators via the master equation with cascade decays, after which we conduct a detailed analysis of the resulting scattering and absorption spectra. By establishing specific relationships between the relevant coupling and decay constants, we noted the presence of a remarkable transparency window in the spectrum, attributed to the influence of mechanical proof. This distinctive structure is identified as Electromagnetically Induced Transparency, highlighting a peculiar interaction between the devices in the hybrid circuit.
Some optomechanical systems can be transparent to a probe field when a strong driving field is applied. These systems can provide an optomechanical analog of electromagnetically induced transparency (EIT). We study the transmission of a probe field through a hybrid optomechanical system consisting of a cavity and a mechanical resonator with a two-level system (qubit). The qubit might be an intrinsic defect inside the mechanical resonator, a superconducting artificial atom, or another two-level system. The mechanical resonator is coupled to the cavity field via radiation pressure and to the qubit via the Jaynes-Cummings interaction. We find that the dressed two-level system and mechanical phonon can form two sets of three-level systems. Thus, there are two transparency windows in the discussed system. We interpret this effect as an optomechanical analog of two-color EIT (or double EIT). We demonstrate how to switch between one and two EIT windows by changing the transition frequency of the qubit. We show that the absorption and dispersion of the system are mainly affected by the qubit-phonon coupling strength and the transition frequency of the qubit.
We theoretically investigate the phenomenon of electromagnetically induced transparency (EIT) of a weak probe field in hybrid optomechanics with a single three-level (ΛΛΛ-type) atomic system. We report that, in the presence of optomechanical coupling and two transition coupling parameters of three-level atom (TLA), there occurs three distinct multiple EIT windows in the probe absorption spectrum. Moreover, the switching of multiple windows into double and single EIT windows can be obtained by suitably tuning the system parameters. Furthermore, the probe transmission spectrum have been studied. Based on our analytical and numerical work, we explain the occurrence of slow and fast light (superluminal) regimes, and enhancement of superluminal behaviour in the probe field transmission. This work demonstrates great potential in multi-channel waveguide, fiber optics and classical communication networks, multi-channel quantum information processing, real quality imaging, cloaking devices and delay lines & optical buffers for telecommunication.
We present a scheme with the multiple-induced transparency windows in a hybrid optomechanical device. By studying the transmission of a probe field through the hybrid device, we show the successive generations of three transparent windows induced by multiple factors including tunneling, optomechanical and qubit-phonon coupling interactions, and analyze the physical mechanism of the induced transparency based on a simplified energy-level diagram of the system. Moreover, the effects of the transition frequency and decay rate of the two-level system on the multiple-induced transparency windows are discussed. We find that the transparency windows can be modulated by the coupling interaction between the qubit and NMR, the decay of qubit and the power of the control field. Therefore, the transmission of the probe field can be coherently adjusted in the hybrid cavity optomechanical device with a two-level system.
Recently Qu and Agarwal [Phys. Rev. A 22, 031802 (2013)] found a three-pathway electromagnetically induced absorption (TEIA) phenomenon within a mechanically coupled two-cavity system, where there exist a sharp EIA dip in the broad electromagnetically induced transparency peak in the transmission spectrum. In this work, we study the response of a probe light in a pair of directly coupled microcavities with one mechanical mode. We find that in addition to the sharp TEIA dip within a broad EIT window as found by Qu and Agarwal, three-pathway electromagnetically induced transparency (TEIT) within the broad EIT window could also exist under certain conditions. We give explicit physical explanations and detailed calculations. Our results provide a method for controlling transition between TEIA and TEIT in coupled optomechanical systems, and reveal the multiple pathways interference is versatile for controlling light.