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Annalen der Physik

Phase Control of Stationary Entanglement and Ground‐State Cooling of Distant Rotating Mirrors

Yupeng Chen, Sumei Huang, Li Deng, Aixi Chen

Published Jun 13, 2025• 0 citations
Publisher

Abstract

Abstract The realization of the distant entanglement, especially in the macroscopic domain, is crucial for advancing quantum technology. Here, a scheme is presented to enhance the stationary entanglement between two distant rotating mirrors in a cascaded Laguerre–Gaussian cavity optorotational system by adjusting the phase difference between two counterpropagating driving lasers. These findings indicate that the entanglement between two rotating mirrors can be significantly enhanced by increasing the phase difference between two input lasers. Additionally, the maximum entanglement between two rotating mirrors depends on the effective cavity detuning. Furthermore, increasing the phase difference between two input lasers can enhance the robustness of the entanglement between two mechanical modes against the thermal noise of the environment. Moreover, the phonon numbers of the two rotating mirrors can be reduced by controlling the phase difference of input lasers. And the ground‐state cooling of the two rotating mirrors can be achieved at two different phase differences of input lasers, whose difference is about .

DOI
10.1002/andp.202500110

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Quantum entanglement in macroscopic systems plays an important role in quantum information processing. Here, we show that the steady-state entanglement between the two cavity modes in the macroscopic Laguerre–Gaussian (L–G) cavity optorotating system can be enhanced by placing a degenerate optical parametric amplifier (OPA) inside the cavity. The two L–G cavity modes are coupled to the same rotating mirror and are respectively driven at the red and blue mechanical sidebands. We use the logarithmic negativity to quantify the steady-state entanglement between the two cavity modes. We study the influences of the nonlinear gain and phase of the OPA, the temperature of the environment, and the angular momentums of the two cavity modes on the entanglement between the two cavity modes. In the cryogenic environment temperatures, when the angular momentums of the two cavity modes are identical, the enhancement of the entanglement between the two cavity modes by the OPA is the most significant.
Quantum entanglement is essential in performing many quantum information tasks. Here, we theoretically investigate the stationary entanglement between a Laguerre-Gaussian (LG) cavity field and a rotating end mirror in an LG-cavity optorotational system with a nonlinear cross-Kerr (CK) interaction and a degenerate optical parametric amplifier (OPA). We calculate the logarithmic negativity of the system to quantify the stationary entanglement. We examine the influence of various system parameters such as the cavity detuning, the strength of the nonlinear CK interaction, the parametric gain and phase of the OPA, the power of the input Gaussian laser, the topological charge of the LG-cavity field, the mass of the rotating end mirror, and the ambient temperature on the stationary entanglement. Under the combined effect of the nonlinear CK interaction and the OPA, we find that the stationary entanglement can be substantially enhanced at lower Gaussian laser powers, smaller topological charges of the LG-cavity field, and larger masses of the rotating end mirror. We show that the combination of the nonlinear CK interaction and the OPA can make the stationary entanglement more robust against the ambient temperature.
Abstract Gaussian quantum steering is a type of quantum correlation in which two entangled states exhibit asymmetry. An efficient theoretical proposal is presented for the control of quantum steering and enhancement of entanglement in a Laguerre–Gaussian (LG) cavity optomechanical system. The system contains two rotating mirrors and a coherently driven optical parametric amplifier (OPA). The numerical results show significantly improved mirror‐mirror and mirror‐cavity entanglements by controlling the system parameters such as parametric gain, parametric phase, and the frequency of the two rotating mirrors. In addition to bipartite entanglement, our system also exhibits mirror‐cavity‐mirror tripartite entanglement as well. Another intriguing finding is the control of quantum steering, for which several results were obtained by investigating it for various system parameters. It is shown that the steering directivity is primarily determined by the frequency of two rotating mirrors. Furthermore, for two rotating mirrors, quantum steering is found to be asymmetric both one‐way and two‐way. Therefore, it can be asserted that the current proposal may help in the understanding of non‐local correlations and entanglement verification tasks.