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Journal of Physics B Atomic Molecular and Optical Physics

Enhancing steady-state entanglement via vacuum-induced emitter–mirror coupling in a hybrid optomechanical system

Wenjie Nie, Aixi Chen, Yueheng Lan, Qinghong Liao, Shi‐Yao Zhu

Published Dec 21, 2015• 15 citations
Publisher

Abstract

Abstract We investigate a hybrid optomechanical system consisting of an ensemble of quantum emitters inside a standard optomechanical cavity with a moving end mirror, in which the motion of the mirror changes the transition rate of each emitter and therefore leads to a direct coupling between the internal state of the quantum emitter and the mechanical mode. We analyzed the steady-state characteristics of the optomechanical system and found that the bistability of the system depends strongly on the distance between the emitter ensemble and the mirror. Further, we also analyze in detail the influences of the distance and other system parameters, i.e., the effective detunings, the driving power, the decay rates of the cavity, and the emitter ensemble and the thermal phonons on the steady-state entanglement by considering fluctuation of the mechanical oscillator, the cavity field, and the emitter ensemble. It is found that the degree of the steady-state entanglement can be greatly enhanced in a certain range of parameters by increasing the vacuum-induced emitter–mirror coupling, which can be realized by decreasing the emitter–mirror distance and increasing properly the free-space spontaneous emission rate of the emitter.

DOI
10.1088/0953-4075/49/2/025501

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Abstract We investigate a hybrid optomechanical system consisting of an ensemble of quantum emitters inside a standard optomechanical cavity with a moving end mirror, in which the motion of the mirror changes the transition rate of each emitter and therefore leads to a direct coupling between the internal state of the quantum emitter and the mechanical mode. We analyzed the steady-state characteristics of the optomechanical system and found that the bistability of the system depends strongly on the distance between the emitter ensemble and the mirror. Further, we also analyze in detail the influences of the distance and other system parameters, i.e., the effective detunings, the driving power, the decay rates of the cavity, and the emitter ensemble and the thermal phonons on the steady-state entanglement by considering fluctuation of the mechanical oscillator, the cavity field, and the emitter ensemble. It is found that the degree of the steady-state entanglement can be greatly enhanced in a certain range of parameters by increasing the vacuum-induced emitter–mirror coupling, which can be realized by decreasing the emitter–mirror distance and increasing properly the free-space spontaneous emission rate of the emitter.
In this paper, we investigate the degree of steady-state entanglement using a hybrid optomechanical system, where the separate cavities contain a degenerate optical parametric amplifier (DOPA). Particularly, under the linearization approximation, the steady-state entanglement is quantified through logarithmic negativity. The bipartite entanglement between cavity-mechanical oscillator modes and two cavity modes is analyzed through the applicable choice of nonlinear gain of OPA, optical cavity detuning, and cavity-cavity coupling strength. It is found that the steady-state entanglement increases with the nonlinear gain of OPA medium and normalized detuning. We further emphasize the influence of cavity-cavity coupling parameter on the bipartite entanglement, and the generation of entanglement can be transferred entirely due to the coupling strengths. The main contribution of coupling parameters on the entanglement of the two modes of mechanical oscillators significantly altered and increased. The observed possibility of transferring the emerging entanglement of the states of light in the two cavities to the modes of the accompanying mechanical oscillators is expected to be a valuable asset in the practical realization of quantum information processing .
We theoretically investigate the entanglement properties in a hybrid system consisting of an optical cavity–array coupled to a mechanical resonator. We show that the steady state of the system presents bipartite continuous variable entanglement in an experimentally accessible parameter regime. The effects of the cavity–cavity coupling strength on the bipartite entanglements in the field–mirror subsystem and in the field–field subsystem are studied. We further find that the entanglement between the adjacent cavity and the movable mirror can be entirely transferred to the distant cavity and mirror by properly choosing the cavity detunings and the coupling strength in the two-cavity case. Surprisingly, such a remote macroscopic entanglement tends to be stable in the large coupling regime and persists for environment temperatures at above 25 K in the three-cavity case. Such optomechanical systems can be used for the realization of continuous variable quantum information interfaces and networks.
A controllable entanglement scheme of two mechanical oscillators is proposed in a composite optomechanical system. In the case of strong driving and high dissipation, the dynamics of the movable mirror of the optomechanical cavity is characterized by an effective frequency in the long-time evolution of the system. Considering the classical nonlinear effects in an optomechanical system, we investigate the relationship between the effective frequency of the movable mirror and the adjustable parameters of the cavity. It shows that the effective frequency of the movable mirror can be adjusted ranging from ω m (the resonance frequency of the coupling oscillator) to − ω m . Under the condition of experimental realization, we can generate and control steady-state entanglement between two oscillators by adjusting the effective frequency of the movable mirror and reducing the effective dissipation by selecting the parameter of the cavity driving laser appropriately. Our scheme provides a promising platform to control the steady-state behavior of solid-state qubits using classical manipulation, which is significant for quantum information processing and fundamental research.
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 theoretically investigate the generation of steady-state entanglement in a levitated optomechanical system with a cascade three-level atomic medium and a dielectric nanosphere. There are two cavity modes, driven by two external laser beams with different frequencies, which are responsible for trapping and cooling the nanosphere. Atoms prepared in coherent superposition are injected into the cavity to manipulate the optical fields and the effective optomechanical coupling. We show that the entanglement between the nanosphere and the cavity modes can be enhanced by selecting properly the initial population of the lower atomic level. In particular, when the atoms are prepared at that level, the corresponding optomechanical entanglement increases with the increase of the atom-field coupling strength. We also investigate in detail the influence of the effective cavity field detunings, the atomic detunings, the driving power, and the nanosphere's radius and found that there exist optimal values of the effective cavity field detuning and the driving power that maximize the optomechanical entanglement. By selecting the system's parameters properly, we further demonstrate the generation of genuine tripartite entanglement between three degrees of freedom in the system. The findings here may help flexible control of the steady-state entanglement in hybrid optomechanical systems.