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Journal of Physics B Atomic Molecular and Optical Physics

Enhanced multipartite entanglement via quantum coherence with an atom-assisted optomechanical system

Xihua Yang, Jiaqi Liu, Xiaona Yan, Min Xiao

Published Sep 6, 2018• 6 citations
Publisher

Abstract

Abstract We present a scheme to significantly enhance multipartite entanglement with an atom-assisted single-cavity optomechanical system. By embedding an ensemble of Λ-type three-level atoms into the cavity, the stationary tripartite entanglement among two longitudinal cavity modes and a mirror oscillation mode can be greatly enhanced due to quantum coherence induced between the two lower atomic states when one (another) cavity mode is driven at the red (blue) mechanical sideband, and both cavity modes are blue-detuned by the mechanical frequency to the respective atomic resonant transitions; moreover, strong light–light–atom–mirror quadripartite entanglement can also be obtained. The present hybrid system can serve as a promising platform for realizing various quantum protocols, and may find potential applications in quantum information processing and quantum networks.

DOI
10.1088/1361-6455/aadf4b

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Abstract We present a scheme to significantly enhance multipartite entanglement with an atom-assisted single-cavity optomechanical system. By embedding an ensemble of Λ-type three-level atoms into the cavity, the stationary tripartite entanglement among two longitudinal cavity modes and a mirror oscillation mode can be greatly enhanced due to quantum coherence induced between the two lower atomic states when one (another) cavity mode is driven at the red (blue) mechanical sideband, and both cavity modes are blue-detuned by the mechanical frequency to the respective atomic resonant transitions; moreover, strong light–light–atom–mirror quadripartite entanglement can also be obtained. The present hybrid system can serve as a promising platform for realizing various quantum protocols, and may find potential applications in quantum information processing and quantum networks.
Abstract We propose a model for controlling and enhancing the entanglement between the two cavity fields and mirror with a hybrid optomechanical system consisting of Λ-type three-level 85Rb atomic ensembles driven by two externally modulated laser fields. When one (another) cavity mode is driven at the red (blue) mechanical sideband and both cavity modes are blue-detuned by the mechanical frequency to the respective atomic resonant transitions, the dynamic coupling control of the cavity field and mirror can be realized by periodically modulating the amplitudes of the two incident laser fields. Compared to the unmodulated case, the periodic modulation of the laser fields in a cavity-optomechanical system embedded with a small number of atoms has the capability to enhance the entanglement between the two cavity fields and mirror. This scheme provides a new approach to the generation and control of entanglement in cavity-optomechanical systems.
We present a proposal to generate quintupartite entanglement with an optomechanical dual-cavity containing an ensemble of Λ-type three-level atoms. By solving the Heisenberg-Langevin equations, we show that entanglement among the two cavity fields, two mechanical oscillators, and atoms can be realized via atomic coherence and cavity field radiation pressure. In addition, within the experimentally available range of parameters, the larger the input laser power, atomic ensemble number, and quality factors of the cavity and mechanical oscillators, and the smaller the environmental temperature, the stronger the multipartite entanglement. This atom-cavity-optomechanical hybrid system provides an efficient and convenient platform for quantum states exchange between macroscopic (mechanical oscillators) and microscopic (atoms, photons) matters, and may find promising applications in realistic quantum information processing.
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.
We present a special quantum phenomenon named optomechanically induced entanglement in the conventional single-cavity optomechanical system driven by a strong pump input field and a relatively weak probe input field. Bipartite entanglement between the pump and probe output fields can be achieved under realistic experimental conditions when the input pump (probe) field is blue detuned by the mechanical frequency (resonant) with respect to the cavity field. The physical origin is the mechanical oscillator displacement, which plays a role similar to the atomic coherence for the well-known electromagnetically induced transparency in the traditional \ensuremath{\Lambda}-type atomic system. This scheme provides an alternative, convenient way to generate nondegenerate entangled bright light beams by using only coherent laser fields, and may bring great facility in realistic quantum information processing protocols.
The entanglement of two output fields generated by a hybrid system consisting of an ensemble of Λ-type three-level atoms placed inside a conventional cavity optomechanical system is investigated without adiabatic elimination of the atomic operators. We show that the entanglement between two output fields can be enhanced significantly by introducing a suitable number of atoms in the cavity optomechanical system as compared to the case without atoms under realistic experimental conditions. A high-finesse cavity is more favourable than a low-finesse one for entangling two output fields in such a hybrid system. In addition, keeping a low dephasing rate of the atomic lower doublet and a low-temperature environment of the movable mirror are crucial to the generation of entanglement between two output fields. This hybrid system provides new perspectives for quantum interfaces and may find potential applications for quantum information processing with continuous variables.
We present a proposal to generate robust tripartite optomechanical entanglement with a single-cavity optomechanical system driven by a single input laser field. The produced stationary tripartite entanglement among two longitudinal cavity modes and a mirror oscillation mode via radiation pressure force exhibits robustness to the variation of the environment temperature when the cavity free spectral range is close to the mechanical oscillation frequency. The present optomechanical system can serve as an alternative intermediary for quantum-state exchange between two microwave (or optical) fields as well as between photons and the macroscopic mechanical oscillator, and may be potentially useful for quantum information processing and quantum networks.