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Annalen der Physik

Stationary Entanglement between Two Rotating Mirrors in a Laguerre–Gaussian Rotational‐Cavity Optomechanical System with an Optical Parametric Amplifier

Sumei Huang, Li Deng, Aixi Chen

Published Jun 29, 2022• 6 citations
Publisher

Abstract

Abstract Generation of entanglement between macroscale mechanical oscillators is challenging yet important for future quantum technologies. Here, the possibility of creating a steady‐state entanglement between two rotating mirrors in a Laguerre–Gaussian (LG) rotational‐cavity optomechanical system by placing an especially tuned degenerate optical parametric amplifier (OPA) inside the cavity is theoretically explored. In the resolved‐sideband regime, a LG cavity mode is driven by a Gaussian laser beam tuned to the first lower mechanical sideband. The Duan quantity and the logarithmic negativity is used to study the stationary entanglement between two rotating mirrors. The influence of the parametric gain and phase of the OPA, the input laser power, the temperature of the environment, and the topological charge of the LG cavity mode on the mechanical entanglement are investigated. The achievable maximal degree of entanglement is limited by the parametric gain of the OPA.

DOI
10.1002/andp.202200171

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The generation of quantum entanglement in macroscopic systems remains a longstanding challenge. In this paper, we study theoretically the stationary entanglement of the two remote mechanical oscillators in a two-cascaded-cavity optomechanical system with a degenerate optical parametric amplifier (OPA) inside the first cavity. The two cavity modes in each cavity are driven at the red- and blue-sideband frequencies. The logarithmic negativity is used to quantify the amount of the stationary mechanical entanglement. We find that the stationary mechanical entanglement depends on the parametric gain and phase of the OPA, the input laser powers, the cavity decay rates, and the temperature of the environment. We show that it is possible to enhance the stationary mechanical entanglement by the use of the OPA, and the optimal enhancement of the stationary mechanical entanglement happens at the parametric phase 𝜋 / 2 of the OPA. At lower temperatures, the OPA exhibits a more significant improvement effect on the stationary mechanical entanglement.
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