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Physica Scripta

Effects of a driven atomic ensemble on the entanglement and output spectrum of the optomechanical system

Burabigul Yakup, Yi-Fang Ren, Mamat Ali Bake, Yusuf Turek

Published Oct 1, 2025• 1 citation
Publisher

Abstract

Abstract This paper considers an indirect driving model of a cavity QED system in which the left cavity wall consists of a large ensemble of two-level atoms driven by a classical laser field at a specific resonant frequency, inducing an effective driving for the optomechanical system. We investigate the effects of the atomic ensemble on the output intensity squeezing spectrum and the entanglement between the optical and mechanical modes. Our results show that both the coupling between the atomic ensemble and the cavity mode and the excitation level of the atomic ensemble significantly influence the output spectrum and the entanglement. The theoretical model presented in this paper may provide deeper insight into the mechanisms governing correlations and squeezing spectra in conventional optomechanical systems.

DOI
10.1088/1402-4896/ae1421

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Abstract This paper considers an indirect driving model of a cavity QED system in which the left cavity wall consists of a large ensemble of two-level atoms driven by a classical laser field at a specific resonant frequency, inducing an effective driving for the optomechanical system. We investigate the effects of the atomic ensemble on the output intensity squeezing spectrum and the entanglement between the optical and mechanical modes. Our results show that both the coupling between the atomic ensemble and the cavity mode and the excitation level of the atomic ensemble significantly influence the output spectrum and the entanglement. The theoretical model presented in this paper may provide deeper insight into the mechanisms governing correlations and squeezing spectra in conventional optomechanical systems.
This paper considers an indirect driving model of a cavity QED system in which the left cavity wall consists of a large ensemble of two-level atoms driven by a classical laser field at a specific resonant frequency, inducing an effective drive for the optomechanical system. We investigate the effects of the atomic ensemble on the output intensity squeezing spectrum and the entanglement between the optical and mechanical modes. Our results show that both the coupling between the atomic ensemble and the cavity mode and the excitation level of the atomic ensemble significantly influences the output spectrum and the entanglement. The theoretical model presented in this paper provides deeper insight into the mechanisms governing correlations and squeezing spectra in conventional optomechanical systems.
Abstract We study the pump-probe response in an optomechanical cavity accommodating an ensemble of two-level atoms interacting with a cavity mode, which is pumped by a strong driving field and probed by a weak signal field. The atomic excitation is examined without taking any approximations and may be in any regimes ranging from the low limit to the high limit for a given collective coupling constant between the atomic ensemble and the cavity mode. This then results in different absorption and dispersion spectra (such as optomechanically induced transparency, Fano-resonance, normal-mode splitting) when the excitation transfer from cavity mode to atomic ensemble is controlled to change from ineffective to effective. This indicates that a hybrid optomechanical response is indeed determined by the excitation of the atomic ensemble embedded in the optomechanical cavity. It is also of interest that the output signal component and the inside atomic polarization show either synchronous or asynchronous behaviors depending on how the atom-field detuning is chosen, i.e. equal to the mechanical resonator frequency or its negative. Such features may open up an effective avenue in coherently manipulating the internal atomic polarization via the external signal field, and vice versa.
Abstract A scheme is addressed to generate the macroscopic entanglement and the output squeezing of optomechanical system with a single four-level atom. Applying the logarithmic negativity to measure entanglement, we analyze the effect of the coupling strength between the cavity and the atom on the entanglement of the cavity and the movable mirror. It is found that the robustness of the entanglement is enhanced with increasing of atom-cavity coupling, and the entanglement has a valley around when Δ is equal to ω m . Furthermore, we also analyze the output entanglement. The results show that the frequency of the mirror oscillation and the Rabi frequency of laser field affect the output squeezing spectrum.
Abstract A hybrid optomechanical system which is composed of an atomic ensemble and a standard optomechanical cavity driven by a periodically modulated external laser field is investigated. Based on the simple periodic modulation forms of the driving amplitude and effective optomechanical coupling, respectively, the atom‐mirror entanglement is discussed in detail. It is found that the maximum of the entanglement in the unresolved‐sideband regime can be further enhanced compared with the non‐modulation regime. On the other hand, we find that the introduction of the atomic ensemble permits the mechanical squeezing induced by the periodic amplitude modulation can be successfully generated even in the unresolved‐sideband regime. Due to the self‐cooling mechanism constructed by the atomic ensemble, the mechanical squeezing scheme no longer requires the extra precooling technologies.
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.
A cavity QED system is analysed which duplicates the dynamics of a two-level atom in free space interacting exclusively with broadband squeezed light. We consider atoms in a three-or four-level Λ configuration coupled to a high-finesse optical cavity which is driven by a squeezed light field. Raman transitions are induced between a pair of stable atomic ground states via the squeezed cavity mode and coherent driving fields. An analysis of the reduced master equation for the atomic ground states shows that a three-level atomic system has insufficient parameter flexibility to act as an effective two-level atom interacting exclusively with a squeezed reservoir. However, the inclusion of a fourth atomic level, coupled dispersively to one of the two ground states by an auxiliary laser field, introduces an extra degree of freedom and enables the desired interaction to be realized. As a means of detecting the reduced quadrature decay rate of the effective two-level system, we examine the transmission spectrum of a weak coherent probe field incident upon the cavity. The extension to multiple atoms is also considered and we show that such a cavity QED system may also duplicate the dynamics of an ensemble of two-level atoms collectively coupled to broadband squeezed light.