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This paper establishes a rigorous theoretical framework for sustaining microwave-optical quantum resources in hybrid chain systems, demonstrating that entanglement and steering can exceed steady-state limits even during transient dynamics. By analytically solving the effective Hamiltonian for these hybrid models, the study provides actionable insights into controlling asymptotic quantum values through coupling strength tuning, which is critical for advancing scalable quantum networks.
General theory of persistent microwave-optical quantum resources in hybrid-system dynamics
arXiv:2602.10581v2 Announce Type: replace Abstract: We develop a general theoretical framework for characterizing persistent quantum resources between microwave and optical modes in the dynamics of chain-type hybrid quantum systems with intermediate modes. The effective Hamiltonian for microwave-optical (MO) squeezing is formulated via strong nearest-neighbor interactions in the microwave-intermediate-optical chain, from which rigorous solutions for the dynamics of MO Gaussian entanglement and quantum steering are obtained analytically. Notably, MO quantum resource can survive and approach a finite asymptotic value even in the unsteady regime, and can surpass the steady-state upper bound on the quantum resource. Furthermore, the asymptotic values of MO entanglement as well as one-way and two-way quantum steering are readily controllable by tuning the effective coupling strength. The validity of our theory is demonstrated by applying it to the typical hybrid models of electro-optomechanical and cavity optomagnomechanical systems, and the extension to the nonlinear regime with non-Gaussian MO quantum resources is further studied.
Abstract:We develop a general theoretical framework for characterizing persistent quantum resources between microwave and optical modes in the dynamics of chain-type hybrid quantum systems with intermediate modes. The effective Hamiltonian for microwave-optical (MO) squeezing is formulated via strong nearest-neighbor interactions in the microwave-intermediate-optical chain, from which rigorous solutions for the dynamics of MO Gaussian entanglement and quantum steering are obtained analytically. Notably, MO quantum resource can survive and approach a finite asymptotic value even in the unsteady regime, and can surpass the steady-state upper bound on the quantum resource. Furthermore, the asymptotic values of MO entanglement as well as one-way and two-way quantum steering are readily controllable by tuning the effective coupling strength. The validity of our theory is demonstrated by applying it to the typical hybrid models of electro-optomechanical and cavity optomagnomechanical systems, and the extension to the nonlinear regime with non-Gaussian MO quantum resources is further studied.
arXiv:2602.10581 [quant-ph]
(or arXiv:2602.10581v2 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2602.10581 Focus to learn more arXiv-issued DOI via DataCite
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Full text under the publisher's open licence · 238 words

