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Physical Review A

Optomechanically induced entanglement

Xihua Yang, Zhiyong Yin, Min Xiao

Published Jan 4, 2019• 25 citations
Publisher

Abstract

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.

DOI
10.1103/physreva.99.013811

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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.
Quantum entanglement provides an essential resource for quantum computation, quantum communication, and quantum network. How to conveniently and efficiently produce entanglement between bright light beams presents a challenging task to build realistic quantum information processing networks. Here, we present an efficient and convenient way to realize a novel quantum phenomenon, named electromagnetically induced entanglement, in the conventional Λ-type three-level atomic system driven by a strong pump field and a relatively weak probe field. Nearly perfect entanglement between the two fields can be achieved with a low coherence decay rate between the two lower levels, high pump-field intensity, and large optical depth of the atomic ensemble. The physical origin is quantum coherence between the lower doublet produced by the pump and probe fields, similar to the well-known electromagnetically induced transparency. This method would greatly facilitate the generation of nondegenerate narrow-band continuous-variable entanglement between bright light beams by using only coherent laser fields, and may find potential and broad applications in realistic quantum information processing.
We present a convenient and efficient scheme to generate multipartite continuous-variable entanglement via mechanical oscillator displacement induced by two strong input pump fields in a conventional single-cavity optomechanical system. It is shown that multipartite entanglement among the outputs of the two pump fields and any number of relatively weak probe fields can be realized and optimized when the two pump fields with suitable amplitude ratio and relative initial phase are, respectively, tuned to the red and blue mechanical sidebands of a single-cavity mode and each probe field is red detuned by the mechanical frequency with respect to a different neighboring cavity mode. This method can, in principle, be extended to flexibly and conveniently generate an arbitrary number of nondegenerate bright entangled fields by using only coherent laser fields, and may find promising applications in realistic quantum communication and networks.
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.
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.
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 propose an approach to generate strong quantum entanglement by the controllable four-wave-mixing mechanism in a single-cavity, weak-coupling optomechanical system. The optomechanical system is driven by a strong two-tone pump field and a weak signal field, simultaneously. The two-tone pump field consists of a lower and an upper sideband, which couple with the optical cavity and mechanical resonator, and generate the beam-splitter and two-mode squeezing interactions under the rotating-wave approximation. This interaction mechanism modifies the effective susceptibility of the optomechanical cavity and optomechanically induces a four-wave-mixing process. Strong quantum entanglement can be generated between the signal and four-wave-mixing fields in realistic optomechanical systems. The generation scheme of the quantum entanglement is quite robust against thermal-mechanical noise, and significant entanglement can persist at room temperature in the weak-coupling regime.