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Annalen der Physik

Controlled Nonreciprocal Magnon and Photon Blockade Using Barnett Effects in a Spinning Microwave Magnomechanical System

Mohamed Amazioug, S. Abdel‐Khalek, Muhammad Asjad

Published Sep 28, 2025• 10 citations
Publisher

Abstract

Abstract Unconventional magnon and photon blockade have attracted significant research interest for their ability to generate single‐particle sources in hybrid quantum systems, particularly in cavity magnonics. In this work, a scheme is presented to investigate the effect of Barnett effects in the nonreciprocal blocked of magnons and photons within a spinning microwave magnomechanical system with a squeezed input drive of the magnonic mode. The effects of thermal noise, the amplitude of a probe field, and the magnetic‐dipole coupling strength are realized using the weak‐coupling regime. Using the Mandel parameter, the nonclassicality of the system is discussed. Additionally, the time evolution of the second‐order correlation function is examined.

DOI
10.1002/andp.202500289

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Abstract Unconventional magnon and photon blockade have attracted significant research interest for their ability to generate single‐particle sources in hybrid quantum systems, particularly in cavity magnonics. In this work, a scheme is presented to investigate the effect of Barnett effects in the nonreciprocal blocked of magnons and photons within a spinning microwave magnomechanical system with a squeezed input drive of the magnonic mode. The effects of thermal noise, the amplitude of a probe field, and the magnetic‐dipole coupling strength are realized using the weak‐coupling regime. Using the Mandel parameter, the nonclassicality of the system is discussed. Additionally, the time evolution of the second‐order correlation function is examined.
Unconventional quantum antibunching, arising from quantum interference effects, represents a notable form of quantum correlation that has attracted significant attention for its ability to generate high-quality single-quantum sources. In this work, we propose a scheme to achieve and actively control strong photon blockade in a spinning microwave magnomechanical system by leveraging the combined nonlinear effects of Kerr-induced magnon interactions and an optical parametric amplifier. By exploiting the Sagnac-Fizeau shift, we establish nonreciprocal photon blockade and verify this effect through a combination of analytical modelling and numerical simulations. To gain intuitive insight into the underlying nonreciprocity, we approximate the equal-time second-order correlation function using the analytical solution of the Schrödinger equation. This analytical result is then compared with the full numerical solution derived from the Lindblad master equation. The influences of thermal noise, the probe field amplitude, and the magnetic-dipole coupling strength are investigated within the constraints of the weak-coupling regime. The system's nonclassicality is characterized using the Mandel parameter, complemented by an analysis of the time evolution of the second-order correlation function. Our work provides a pathway for realizing nonreciprocal photon blockade in a nonlinear spinning microwave magnomechanical system.
We propose a scheme to achieve nonreciprocal unconventional magnon blockade (NUMB) based on the Barnett and Sagnac effects in a hybrid nonlinear system, in which a microwave cavity with two modes and a yttrium iron garnet (YIG) sphere are included. Two cavity modes with the fundamental and the second-harmonic frequencies are coupled by virtue of the χ (2) nonlinear materials, and meanwhile, the fundamental mode interacts with the magnon mode via the magnetic dipole interaction. Under weak driving and coupling conditions, the magnon blockade is obtained, where the second-order correlation function has been used to analyze the magnon antibunching based on the numerical simulations and analytical calculations. The underlying mechanism is that quantum destructive interference occurs between different transition paths. In addition, the combination of the Barnett and Sagnac effects, which leads to the simultaneous frequency shifts of the magnon and two microwave modes, could induce the nonreciprocity of magnon antibunching due to the positive and negative detunings via changing the direction of the external fields. The scheme we present is based on the weak near-resonant coupling between quantum modes and the weak driving of magnon and photon modes, which may demonstrate the potential for achieving the single-magnon resource in a hybrid cavity magnonic system and provide valuable guidance for the design of nonreciprocal magnon devices.
We theoretically investigate the quantum coherence ans its nonreciprocity in a cavity magnomechanical (CMM) syetem, which consists of a rotating yittrium iron garnet (YIG) sphere and a microwave cavity. By adjusting the direction of the magnetic field, the frequency shift of a magnon mode can be tuned from positive to negative due to the Barnett effect. This effect leads to a significant difference in the system stability and is responsible for the nonreciprocal quantum coherence. We examine how the input power, magnomechanical and magnon-photon coupling rates, decay rates of both the cavity photon modes and the magnon modes influence the quantum coherence. Through careful tuning of system parameters, nearly perfect nonreciprocity can be achieved. Our results provide a controllable mechanism for direction-dependent quantum coherence, with potential applications in nonreciprocal quantum devices and information processing.
We investigate quantum coherence in a hybrid cavity magnomechanical system incorporating a squeezed-magnon drive. By analyzing the Gaussian quantum coherence of the cavity, magnonic, and mechanical subsystems, as well as the total system coherence, we identify the critical roles of phase control, coupling strength, drive power, and thermal noise. We show that the squeezing amplitude and phase precisely modulate the effective magnon frequency and damping, enabling phase-dependent enhancement and nonreciprocal transfer of coherence. Our systematic parameter analysis indicates that increasing driving power and photon-magnon coupling enhances quantum coherence, while thermal decoherence leads to its degradation. However, this effect is partially suppressed by the presence of magnon squeezing. The results show that squeezed magnons are a robust and tunable resource for controlling, stabilizing, and optimizing quantum coherence in cavity magnomechanical platforms, offering potential applications in hybrid magnonic systems and coherent quantum information processing.
We propose a scheme for generating and controlling remote nonreciprocal magnon--magnon entanglement in a cavity magnonic system with coherent feedback.The two microwave cavities are driven by independent single-mode squeezed vacuum fields, with a rotating YIG sphere in the left cavity and a stationary one in the right cavity. For a fixed rotation direction, reversing the bias magnetic field applied to the rotating sphere changes the sign of the Barnett shift, leading to nonreciprocal magnon--magnon entanglement. By tuning the cavity detuning and feedback phase, entanglement can be generated for one direction of the bias magnetic field while it vanishes for the opposite direction, yielding complete nonreciprocity. Coherent feedback enhances the entanglement at an appropriate reflectivity, whereas stronger feedback can reduce it. The relative squeezing phase provides additional control, and an appropriate choice of unequal squeezing factors improves the entanglement at fixed total input photon occupation. With the squeezed inputs kept fixed, moderate feedback also increases the critical temperature for magnon entanglement.Our results provide a controllable approach to preparing remote nonreciprocal quantum correlations in cavity magnonic systems.
We propose a method for realizing the nonreciprocal unconventional photon blockade (NUPB) effect in a spinning microwave magnomechanical system. We determine the optimal parameter conditions for achieving this effect and observe that the numerical solutions are in excellent agreement with the analytical results. Under these optimal conditions, driving the system from the right induces photon antibunching, while driving from the left with identical amplitude leads to photon bunching. This pronounced asymmetry gives rise to NUPB, which arises from the combined effects of destructive quantum interference in two-photon excitation pathways and the Sagnac effect. Furthermore, NUPB can be tuned by adjusting the angular velocity of the microwave resonator. This work provides significant theoretical support for the realization of nonreciprocal single-photon sources and opens new avenues for the design and application of nonreciprocal quantum devices.