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arXiv:1608.02392 · Communications in Theoretical Physics

Room-Temperature Steady-State Entanglement in a Four-Mode Optomechanical System*

Tao Wang, Rui Zhang, Xue-Mei 雪梅 Su 苏

Published May 1, 2016• 3 citations
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Abstract

Abstract Stationary entanglement in a four-mode optomechanical system, especially under room-temperature, is discussed. In this scheme, when the coupling strengths between the two target modes and the mechanical resonator are equal, the results cannot be explained by the Bogoliubov-mode-based scheme. This is related to the idea of quantum-mechanics-free subspace, which plays an important role when the thermal noise of the mechanical modes is considered. Significantly prominent steady-state entanglement can be available under room-temperature.

DOI
10.1088/0253-6102/65/5/596

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Abstract Stationary entanglement in a four-mode optomechanical system, especially under room-temperature, is discussed. In this scheme, when the coupling strengths between the two target modes and the mechanical resonator are equal, the results cannot be explained by the Bogoliubov-mode-based scheme. This is related to the idea of quantum-mechanics-free subspace, which plays an important role when the thermal noise of the mechanical modes is considered. Significantly prominent steady-state entanglement can be available under room-temperature.
We propose an approach for generating steady-state mechanical entanglement in a coupled optomechanical system. By applying four-tone driving lasers with weighted amplitudes and specific frequencies, we obtain an effective Hamiltonian that couples the delocalized Bogoliubov modes of the two mechanical oscillators to the cavity modes via beam-splitter-like interactions. When the mechanical decay rate is small, the Bogoliubov modes can be effectively cooled by the dissipative dynamics of the cavity modes, generating steady-state entanglement of the mechanical modes. The mechanical entanglement obtained in the stationary regime is strongly dependent on the values of the ratio of the effective optomechanical coupling strengths. Numerical simulation with the full linearized Hamiltonian shows that significant amount of mechanical entanglement can indeed be obtained by balancing the opposing effects of varying the ratio and by carefully avoiding the system parameters that may lead to amplified oscillations of the mechanical mean values detrimental to the entanglement generation.
We show how strong steady-state entanglement can be achieved in a three-mode optomechanical system (or other parametrically coupled bosonic system) by effectively laser cooling a delocalized Bogoliubov mode. This approach allows one to surpass the bound on the maximum stationary intracavity entanglement possible with a coherent two-mode squeezing interaction. In particular, we find that optimizing the relative ratio of optomechanical couplings, rather than simply increasing their magnitudes, is essential for achieving strong entanglement. Unlike typical dissipative entanglement schemes, our results cannot be described by treating the effects of the entangling reservoir via a Linblad master equation.
Quantum discord, and related indicators, are raising a relentless interest as a novel paradigm of nonclassical correlations beyond entanglement. Here, we discover a discord-activated mechanism yielding steady-state entanglement production in a realistic continuous-variable setup. This comprises two coupled optomechanical cavities, where the optical modes (OMs) communicate through a fiber. We first use a simplified model to highlight the creation of steady-state discord between the OMs. We show next that such discord improves the level of stationary optomechanical entanglement attainable in the system, making it more robust against temperature and thermal noise.
Room-temperature quantum entanglement not only is significant for the advancement of quantum physics but also has broad application prospects in quantum technology. Here we investigate the generation of room-temperature quantum entanglement in a polariton optomechanical system consisting of an optical mode, a molecular vibrational mode, and N excitonic modes. The excitons and vibration are coupled via conditional displacement interactions, while the photon-exciton couplings occur via electric dipole interactions. We find that, mediated by exciton-vibration interaction, strong entanglement is established between the photon and the exciton, as well as between the photon and the vibration. Notably, the photon-vibration entanglement exhibits an astonishing enhancement with an increasing number of excitons, even far surpassing the entanglement generated from direct coupling between the exciton and vibration. Moreover, we demonstrate that these entanglements not only can be generated in a room-temperature environment (T = 300 K) but also exhibit considerable robustness against thermal noise. Furthermore, we achieve tripartite entanglement in this system under both room- and ultrahigh-temperature conditions. The increase in the number of excitons can significantly improve the tolerance of tripartite entanglement to thermal noise and optical dissipation. Our results indicate that polariton optomechanical systems could provide a promising platform for generating room-temperature and high-temperature-resistant entangled quantum resources, which are crucial for practical quantum technologies. ©2025 American Physical Society
Quantum entanglement in mechanical systems is not only a key signature of macroscopic quantum effects but has wide applications in quantum technologies. Here we propose an effective approach for creating strong steady-state entanglement between two directly coupled mechanical oscillators (or a mechanical oscillator and a microwave resonator) in a modulated optomechanical system. The entanglement is achieved by combining the processes of a cavity cooling and the two-mode parametric interaction, which can surpass the bound on the maximal stationary entanglement from the two-mode parametric interaction. In principle, our proposal allows one to cool the system from an initial thermal state to an entangled state with high purity by a monochromatic driving laser. Also, the obtained entangled state can be used to implement the continuous-variable teleportation with high fidelity. Moreover, our proposal is robust against the thermal fluctuations of the mechanical modes under the condition of strong optical pumping.
We study the entanglement dynamics of two coupled mechanical oscillators, within a modulated optomechanical system. We find that, depending on the strength of the mechanical coupling, one could observe either a stationary or a dynamical behavior of the mechanical entanglement, which is extremely robust against the oscillator temperature. Moreover, we have shown that this entanglement dynamics is strongly related to the stability of the normal modes. Taking mechanical damping effects into account, an analytical expression corresponding to the critical mechanical coupling strength, where the transition from stationary to dynamical entanglement occurs, is also reported. The proposed scheme is analyzed with experimentally realistic parameters, making it a promising means to realize macroscopic quantum entanglement within current state-of-the-art experimental setups.