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Chinese Physics B

Electromagnetically induced transparency and quadripartite macroscopic entanglement generated in a ring cavity

Yonghong Ma, Ling Zhou

Published Feb 1, 2013• 16 citations
Publisher

Abstract

We propose a feasible scheme to generate electromagnetically induced transparency (EIT) and quadripartite macroscopic entanglement in an optomechanical system with one fixed mirror and three movable perfectly reflecting mirrors. We explore the EIT phenomena in this optomechanical system. Results show the appearance of EIT dips in the output field. Moreover, we demonstrate how steady-state quadripartite entanglement can be generated via radiation pressure. We also quantify the bipartite entanglement in each field—mirror subsystem and in the mirror—mirror subsystem. Findings show that a high intensity of entanglement between two subsystems can be achieved.

DOI
10.1088/1674-1056/22/2/024204

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We propose a feasible scheme to generate electromagnetically induced transparency (EIT) and quadripartite macroscopic entanglement in an optomechanical system with one fixed mirror and three movable perfectly reflecting mirrors. We explore the EIT phenomena in this optomechanical system. Results show the appearance of EIT dips in the output field. Moreover, we demonstrate how steady-state quadripartite entanglement can be generated via radiation pressure. We also quantify the bipartite entanglement in each field—mirror subsystem and in the mirror—mirror subsystem. Findings show that a high intensity of entanglement between two subsystems can be achieved.
We study a three-mode double-cavity optomechanical system in which an oscillating membrane of perfect reflection is inserted between two fixed mirrors of partial transmission. We find that electromagnetically induced transparency (EIT) can be realized and controlled in this optomechanical system by adjusting the relative intensity and the relative phase between left-hand and right-hand input (probe and coupling) fields. In particular, one perfect EIT window is seen to occur when the two probe fields are exactly out of phase and the EIT window's width is very sensitive to the relative intensity of two coupling fields. Our numerical findings may be extended to achieve optomechanical storage and switching schemes applicable in quantum information processing.
We propose a simple method to generate quantum entanglement between two macroscopic mechanical resonators in a two-cavity optomechanical system. This entanglement is induced by the radiation pressure of a single photon hopping between the two cavities. Our results are analytical, so that the entangled states are explicitly shown. Up to local operations, these states are two-mode three-component states, and hence the degree of entanglement can be well quantified by the concurrence. By analyzing the system parameters, we find that, to achieve a maximum average entanglement, the system should work in the single-photon strong-coupling regime and the deep-resolved-sideband regime.
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.