Flexible generation of optomagnonic quantum entanglement and quantum coherence difference in double-cavity-optomagnomechanical system

TL;DR

This work addresses flexible generation of optomagnonic entanglement and quantum coherence in a double-cavity optomagnomechanical system. It linearizes the quantum Langevin dynamics to obtain a drift matrix $\mathcal{A}$ and diffusion $\mathcal{D}$, solving the Lyapunov equation $\mathcal{A}V+V\mathcal{A}^T=-\mathcal{D}$ to obtain the steady-state covariance $V$ and compute $E_N$, $R^{min}$, and $\Delta C_Q$. It demonstrates that bipartite entanglements $E_{am}$ and $E_{cm}$ peak near $\Delta_a \approx -\omega_b$ and $\Delta_c \approx \omega_b$ respectively, with genuine tripartite entanglement present under both magnon-drive schemes and a quantum coherence difference that depends on whether the mechanism is entanglement creation or state transfer. Stability maps show larger stable regions for the entanglement-enabled scheme and indicate robustness to moderate temperature, providing a theoretical basis for linking magnon and photonic nodes in quantum networks.

Abstract

Quantum entanglement and quantum coherence generated from the optomagnomechanical system are important resources in quantum information and quantum computation. In this paper, a scheme for flexibly generating optomagnonic quantum entanglement and quantum coherence difference is proposed, based on a double-cavity-optomagnomechanical system. The parameter dependencies of the bipartite optomagnonic entanglement, the genuine tripartite optomagnonic entanglement, the quantum coherence difference, and the stability of the system, are investigated intensively. The results show that this scheme endows the magnon more flexibility to choose different mechanisms, under the condition of maintaining the system stable. This work is valuable for connecting different nodes in quantum networks and manipulating the magnon states with light in the future.

Figures (10)

• Figure 1: The scheme of generating flexible quantum optomagnonic entanglement and coherence difference in system. (a) Schematic diagram. (b) frequency relation.
• Figure 2: The optomagnonic entanglement $E_{am}$ and $E_{cm}$ versus detunings $\Delta_{a}$ and $\Delta_{c}$, where $E_{am}$ and $E_{cm}$ are generated from scheme (i) and (ii), respectively. In schematic diagrams, blue and red circles represent the blue and red detuned driven, respectively.
• Figure 3: The optomagnonic entanglement $E_{am}$ (red) and $E_{cm}$ (purple) versus $\Delta_m$(a), $G_{m}$(b) and $\kappa_{m}$(c), respectively.
• Figure 4: The optomagnonic entanglements $E_{am}$ (red) and $E_{cm}$ (purple) versus $\kappa_a$(a), $\kappa_c$(d), $G_a$(b), $G_c$(e), $\gamma_b$(c) and $T$(f), respectively.
• Figure 5: The genuine tripartite entanglement $R_{acm}^{min}$ versus magnon-related parameters $\Delta_m$(a), $G_{m}$(b) and $\kappa_{m}$(c) in two schemes (red and purple curves correspond to the scheme (i) and (ii), respectively).