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Physical review. B./Physical review. B

Dissipation-induced magnon-photon entanglement in a squeezed vacuum reservoir

Yang Xiao, Ke Xia

Published Feb 11, 2025• 6 citations
Publisher

Abstract

Dissipation usually has negative effects on magnon-photon entanglement and thus is engineered to a low level in many works. In this work, we propose a theoretical scheme to generate steady-state magnon-photon entanglement by using the dissipatively coupled magnon and photon in a squeezed vacuum reservoir. It is found that the reservoir-mediated magnon-photon coupling and the squeezing nature of reservoir result in the entanglement. As the coupling strength increases or intrinsic dissipation decreases, the magnon-photon correlation and entanglement can be enhanced. As the squeezing amplitude $r$ of reservoir increases, the logarithmic negativity, which is the measure of entanglement, presents a maximum at an optimal value of $r$. This reflects the competition between the enhancement of magnon-photon correlation which favors the entanglement, and the increase in the input noise which destroys the entanglement. We also propose a device geometry which could be realized with existing technology of cavity magnon polariton and superconducting Josephson parametric amplifiers. Our theoretical methods and results may be useful for future theoretical studies of magnon-photon or magnon-magnon entanglement and experimental studies of magnon-based quantum communication and manipulations.

DOI
10.1103/physrevb.111.064414

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Dissipation usually has negative effects on magnon-photon entanglement and thus is engineered to a low level in many works. In this work, we propose a theoretical scheme to generate steady-state magnon-photon entanglement by using the dissipatively coupled magnon and photon in a squeezed vacuum reservoir. It is found that the reservoir-mediated magnon-photon coupling and the squeezing nature of reservoir result in the entanglement. As the coupling strength increases or intrinsic dissipation decreases, the magnon-photon correlation and entanglement can be enhanced. As the squeezing amplitude rrr of reservoir increases, the logarithmic negativity, which is the measure of entanglement, presents a maximum at an optimal value of rrr. This reflects the competition between the enhancement of magnon-photon correlation which favors the entanglement, and the increase in the input noise which destroys the entanglement. We also propose a device geometry which could be realized with existing technology of cavity magnon polariton and superconducting Josephson parametric amplifiers. Our theoretical methods and results may be useful for future theoretical studies of magnon-photon or magnon-magnon entanglement and experimental studies of magnon-based quantum communication and manipulations.
In the cavity-magnonics system, the coupling between microwave photon and magnon is of beam-splitter (BS) interaction, which in general does not support steady-state entanglement in a vacuum environment. We propose a scheme to generate and enhance steady-state magnon-photon entanglement and one-way steering in cavity-magnonics system. By coupling microwave cavity mode and magnon mode to a common waveguide, the effective dissipative coupling of the cavity-magnonics system is derived. If there is only nondegenerate parametric (NP) dissipative coupling, entanglement is negatively affected by the effective gain of the cavity mode caused by the common waveguide environment. When the coherent coupling exists, effective gain of cavity mode can cancel the intrinsic dissipation. Consequently, the larger the intrinsic dissipation of cavity the better the entanglement. When the effective dissipative coupling with NP and BS coexist, the effective dissipation can be eliminated and the entanglement is significantly improved. In addition, we find that the asymmetric coupling of the two modes to the common waveguide leads to one-way steering, which means that the cavity mode can guide the magnetic mode, and the magnetic mode can not affect the cavity mode through local measurements. This property facilitates the development of the cavity-magnonics system towards quantum information processing.
In the two microwave (MW) cross-shaped cavity magnon system, we describe a method to produce multipartite entanglement and quantum steering. To achieve squeezed states of the magnons, a Josephson parametric amplifier (JPA) creates a squeezed vacuum field that drives the two cavities. We theoretically demonstrate that the cavity-cavity entanglement can be generated at the resonance point, however, increasing the cavity and magnon decay rates generate the cavity-magnon entanglement. By changing the squeezing parameter and increasing the decay rates, we can transfer the cavity-cavity entanglement to cavity-magnon entanglement. Furthermore, the cavity-cavity entanglement (survive up to 2.8K) not only found to be much stronger but also more robust as compared to cavity-magnon entanglement (survive up to 0.4K). More importantly, the genuine photon-magnon-photon tripartite entanglement could be achieved, which is robust against the thermal fluctuations and depends strongly on squeezing parameter. Furthermore, for current dual cavity-magnon system, two-way quantum steering is found when the optomagnonical couplings are equal. The current study offers a straightforward and practical method for achieving multipartite quantum correlations.
Cavity magnonics, owing to its strong magnon-photon coupling and excellent tunability, has attracted significant interest in quantum information science. However, achieving strong and robust macroscopic entanglement remains a long-standing challenge due to the inherently linear nature of the beam-splitter interaction. Here, we propose an experimentally feasible scheme to generate and enhance macroscopic entanglement between two remote magnon modes by injecting squeezed vacuum fields (SVFs) into coupled microwave cavities. We demonstrate that even a single SVF applied to one cavity can induce steady magnon-magnon entanglement, while applying two SVFs (the double-squeezed configuration) enables selective activation of two independent entanglement channels associated with the cavity supermodes. Remarkably, quantum interference between the two SVFs allows for phase-controlled enhancement of entanglement, resulting in significantly improved robustness against cavity dissipation and thermal noise. Under realistic parameters, the survival temperature of quantum entanglement increases from approximately 260260260 mK to 450450450 mK. Our results establish a versatile and controllable approach to generating and enhancing quantum entanglement through quantum interference between squeezed vacuum fields.
Abstract In the two microwave (MW) cross-shaped cavity magnon system, we describe a method to produce multipartite entanglement and quantum steering. To achieve squeezed states of the magnons, a Josephson parametric amplifier (JPA) creates a squeezed vacuum field that drives the two cavities. We theoretically demonstrate that the cavity-cavity entanglement can be generated at the resonance point, however, increasing the cavity and magnon decay rates generate the cavity-magnon entanglement. By changing the squeezing parameter and increasing the decay rates, we can transfer the cavity-cavity entanglement to cavity-magnon entanglement. Furthermore, the cavity-cavity entanglement (survive up to 2.8 K) was not only found to be much stronger but also more robust as compared to cavity-magnon entanglement (survive up to 0.4 K). More importantly, the genuine photon-magnon-photon tripartite entanglement could be achieved, which is robust against thermal fluctuations and depends strongly on the squeezing parameter. Furthermore, for the current dual cavity-magnon system, two-way quantum steering is found when the optomagnonical couplings are equal. The current study offers a straightforward and practical method for achieving multipartite quantum correlations.
The squeezed state of a magnon has garnered widespread attention due to its distinct properties and potential applications. Although preliminary experimental verification has been achieved, numerous technical and theoretical challenges persist. Here, we investigate the nonlinear coupling within the magnon-cavity-qubit system and propose an innovative method for achieving magnon squeezing. By employing virtual photons as a mediator for magnon-qubit interactions and optimizing system parameters, we induce nonlinear coupling. This approach not only enhances the interaction strength between magnons and qubits but also opens up an alternative pathway for achieving magnon squeezing. Our findings significantly enrich the fields of quantum physics and magnetism by providing a method for magnon squeezing, thereby laying a solid foundation for future advancements and applications in quantum technology.
Abstract Externally induced entanglement amplification in a coherently pumped Correlated Emission Laser (CEL) with parametric amplifier and coupled to a squeezed vacuum reservoir is presented. The combination of the master equation and stochastic differential equation is applied to investigate the entanglement of the correlated two photons generated by the quantum system. The resulting solutions of the correlation properties of noise forces associated with the normal ordering are used to find the mean photon number of the separate cavity modes and their correlation, EPR-pair variables, and smallest eigenvalue of the sympectic matrix. It is found that pumping atoms from the lower energy state to excited state results in a strong entanglement that remains in its maximum strength over a wide range of the strong classical pumping radiation. The introduction of the nonlinear crystal into the laser cavity, and coupling the system to the two-mode squeezed vacuum environment lead to a significant enhancement of entangled cavity light. The entanglement produced is quantified employing logarithmic negativity, Hillary Zubairy and Duan et al criteria. It has been observed that an intense light can be produced where the entanglement is strong. The amount of the entanglement produced is found to be 87% by both Duan et al and logarithmic negativity criteria.