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Physical Review A

Optomechanically induced transparency associated with steady-state entanglement

Yong He

Published Jan 20, 2015• 31 citations
Publisher

Abstract

We theoretically investigate a two-cavity optomechanical system in which a cavity (cavity $a$) couples to a mechanical resonator via radiation pressure and to another cavity (cavity $c$) via a common waveguide. In the excitation of a strong pump filed to cavity $a$, the steady-state entanglement between cavity $a$ and $c$, as a quantum channel, can be generated, which provides an indirect optical pathway to excite cavity $c$ by means of the pump filed. Quantum interference between the direct and indirect optical pathways gives rise to an optomechanically induced transparency appearing in the probe transmission of cavity $c$. Unlike in a typical optomechanically induced transparency effect, the electromagnetical control of the transmission is implemented by resorting to the quantum channel. Furthermore, the coupling strength of the two cavities is an important factor of the quantum channel, which can influence the width of the transparency window and the bistable behavior of the mean photon number in cavity $a$. We also illustrate that the electromagnetical control via quantum channel can be exploited to implement the optical switch and the slow light.

DOI
10.1103/physreva.91.013827

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We theoretically investigate a two-cavity optomechanical system in which a cavity (cavity aaa) couples to a mechanical resonator via radiation pressure and to another cavity (cavity ccc) via a common waveguide. In the excitation of a strong pump filed to cavity aaa, the steady-state entanglement between cavity aaa and ccc, as a quantum channel, can be generated, which provides an indirect optical pathway to excite cavity ccc by means of the pump filed. Quantum interference between the direct and indirect optical pathways gives rise to an optomechanically induced transparency appearing in the probe transmission of cavity ccc. Unlike in a typical optomechanically induced transparency effect, the electromagnetical control of the transmission is implemented by resorting to the quantum channel. Furthermore, the coupling strength of the two cavities is an important factor of the quantum channel, which can influence the width of the transparency window and the bistable behavior of the mean photon number in cavity aaa. We also illustrate that the electromagnetical control via quantum channel can be exploited to implement the optical switch and the slow light.
Abstract We study a two-cavity optomechanical system in which one cavity ( A ) encloses a mechanical resonator and the other cavity ( C ) encloses a two-level atom are, respectively, driven by a strong pump and a weak probe fields. In addition to a direct pathway, the excitations in cavity C and the enclosed atom can also be caused through an indirect pathway. The interference between the two possible routs for excitations produces a controllable transparency window in the probe transmission spectrum of cavity C . The coupling strength between cavity C and the atom works as an additional parameter to the coupling strength between the two cavities which helps to manipulate the dynamical properties of the system and hence to control the width of the transparency window. Furthermore, we show that the single setup can be used to produce an optical switch from two different physical behaviors of the model, and to realize subluminal and superluminal behaviors in the output spectrum at probe frequency of cavity C .
Electromagnetically induced transparency is a quantum interference effect observed in atoms and molecules, in which the optical response of an atomic medium is controlled by an electromagnetic field. We demonstrated a form of induced transparency enabled by radiation-pressure coupling of an optical and a mechanical mode. A control optical beam tuned to a sideband transition of a micro-optomechanical system leads to destructive interference for the excitation of an intracavity probe field, inducing a tunable transparency window for the probe beam. Optomechanically induced transparency may be used for slowing and on-chip storage of light pulses via microfabricated optomechanical arrays.
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.
Abstract Optomechanics has become a very active area of research in recent years and has attracted significant interest in both theoretical and experimental studies. In this work, we theoretically investigate optomechanically induced transparency (OMIT) using a hybrid system consisting of two coupled optical cavities, each interacting with a spin ensemble. The cavities are coherently driven by a strong control field and a weak probe field. We analytically calculate the transmission spectrum of the coupled spin–cavity system and analyze the dynamics of the system. The obtained transmission response shows clear signatures of multi-window OMIT, which arises from coherent interference between the hybridized normal modes. Our results indicate that the presence of spin ensembles in both cavities significantly enhances the transparency behavior and provides additional tunable parameters to control the OMIT windows. In particular, the transmission spectrum and the shape of the transparency profile can be controlled by the spin–cavity interaction and the inter-cavity coupling strength J . Furthermore, the inter-cavity tunneling rate, spin decoherence, and spin–cavity coupling strength strongly influence the transparency properties. Overall, this study highlights the potential of spin-based multi-cavity optomechanical systems for coherent optical control and tunable quantum interference.
Abstract We theoretically investigated the photothermally and optomechanically induced transparency (PTIT and OMIT) in an optomechanical system filled with quantum dots (QDs). In our proposed system, the right mechanical resonator couples with the optical cavity via radiation pressure, and the left mechanical resonator couples with the optical cavity through the photothermal effects. The system is driven by a strong pump field and a weak probe field. It is shown that double transparency windows can be observed due to PTIT and OMIT. When considering the Jaynes‐Cummings coupling between the QDs and the optical cavity, three transparency windows are observed. We also show that the PTIT can be adjusted by the OMIT and the QDs in the optical cavity. What is more, the coupling strength and the frequency detuning can be used effectively to change the system absorption and dispersion in the PITT transparency window. This indicates that the group delay of the probe light can also be manipulated by the system parameters. The obtained results may be applied in the optical communication such as optical buffer, and so forth.
We propose an atom-assisted cavity optomechanical system consisting of a single $\mathrm{\ensuremath{\Lambda}}$-type three-level atom, a mechanical resonator, and a sideband-driven cavity. The analytic expression of the system's evolution is constructed under the consideration of sideband-driven fields, then steady-state solution of electromagnetically and optomechanically induced transparency and amplification is presented. In the resolved red sideband case, we demonstrate the appearance of electromagnetically and optomechanically induced transparency when the two sets of two-photon resonances are satisfied. Moreover, we set up the eigenstate structure for this atom-assisted cavity optomechanical system, which gives an explicit explanation for the mechanism of the transparency. In the resolved blue sideband case, we can achieve the controllable amplification of the probe light, which is induced by the constructive interactions of photon, atom, and phonon. The proposed scheme offers insight for the tripartite coherent interaction among photons, atoms, and phonons, which will provide great flexibility for phonon storage and motivate the development of quantum information processing.