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Canadian Journal of Physics

Effective scheme for enhancing entanglement in distant optomechanical system by injecting the atomic medium

Zhi‐Cheng Shi, Yan Xia, Jie Song

Published Nov 21, 2012• 0 citations
Publisher

Abstract

In this paper, we propose a method to enhance the steady-state entanglement between cavity fields and mechanical modes by injecting atomic media into the cavities. The atomic medium interaction with the cavities can change the effective decay rate of the photons and the radiation pressure of the cavity fields on the two mirrors. Thus it provides us with a way to enhance the quantum entanglement in the optomechanical system.

DOI
10.1139/cjp-2012-0125

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In this paper, we propose a method to enhance the steady-state entanglement between cavity fields and mechanical modes by injecting atomic media into the cavities. The atomic medium interaction with the cavities can change the effective decay rate of the photons and the radiation pressure of the cavity fields on the two mirrors. Thus it provides us with a way to enhance the quantum entanglement in the optomechanical system.
In this work, we investigate a theoretical study of the stationary entanglement of an optomechanical system by adding a Kerr medium in the cavity where the mechanical resonator is perturbatively connected to an auxiliary qubit. The degree of entanglement between the cavity field and the mechanical system is measured by using the logarithmic negativity. We show that optomechanical entanglement is decreased by Kerr interaction due to photon blockage enhanced by mirror–qubit coupling, we also show that this enhancement is influenced by the temperature. In addition, we find that, in the presence of the mirror–qubit coupling, entanglement can arise with far weaker optomechanical coupling. The proposed scheme shows that the presence of the mirror–qubit coupling and Kerr medium is an effective control for an optomechanical system.
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.
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.
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.
Abstract The ability to engineer entangled states that involve macroscopic objects is of particular importance for a wide variety of quantum‐enabled technologies, ranging from quantum information processing to quantum sensing. Here how to achieve coherent manipulation and enhancement of quantum entanglement in a hybrid optomechanical system, which consists of a Fabry–Pérot cavity with two movable mirrors, an optical parametric amplifier (OPA), and an injected squeezed vacuum reservoir is proposed. It is shown that the advantages of this system are twofold: 1) one can effectively regulate the light‐mirror interactions by introducing a squeezed intracavity mode via the OPA; 2) when properly matching the squeezing parameters between the squeezed cavity mode and the injected squeezed vacuum reservoir, the optical input noises can be suppressed completely. These peculiar features of this system allow the generation and manipulation of quantum entanglement in a coherent and controllable way. More importantly, it is also found that such controllable entanglement, under some specific squeezing parameters, can be considerably enhanced in comparison with those of the conventional optomechanical system. The work, providing a promising method to regulate and tailor the light‐mirror interaction, is poised to serve as a useful tool for engineering various quantum effects which are based on cavity optomechanics.