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Physical Review A

Nonreciprocal unconventional magnon blockade via the Sagnac-Fizeau shift in an optomagnonic system

Xu Deng, Kaikai Zhang, Tao Shui, Wen‐Xing Yang

Published Dec 16, 2024• 17 citations
Publisher

Abstract

We propose a scheme to achieve nonreciprocal unconventional magnon blockade (NUMB) in an optomagnonic system composed of a spinning resonator with ${\ensuremath{\chi}}^{(2)}$ nonlinearity and one yttrium iron garnet sphere. When two-photon driving is input from different ends of the resonator, complete quantum destructive interference appears and disappears between different paths for two-magnon excitation due to the opposite Sagnac-Fizeau shifts induced by Fizeau drag, which is the physical origin for achieving NUMB. To intuitively understand the nonreciprocal phenomenon, the analytical solution of the equal-time second-order correlation function is approximately given through the Schr\"odinger equation and compared with the full numerical solution obtained from the Lindblad master equation. From the two almost identical solutions, we show that a giant NUMB can be observed in the absence of probe detuning. We also show that a switchable NUMB can be achieved by tuning the relative phase between the external laser fields. In addition, increasing the amplitude of the probe field appropriately can reduce the impact of ambient thermal noise on NUMB. Our work may have potential applications in the design of nonreciprocal single-magnon devices.

DOI
10.1103/physreva.110.063711

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We propose a scheme to achieve nonreciprocal unconventional magnon blockade (NUMB) in an optomagnonic system composed of a spinning resonator with \ensuremathχ(2){\ensuremath{\chi}}^{(2)}\ensuremathχ(2) nonlinearity and one yttrium iron garnet sphere. When two-photon driving is input from different ends of the resonator, complete quantum destructive interference appears and disappears between different paths for two-magnon excitation due to the opposite Sagnac-Fizeau shifts induced by Fizeau drag, which is the physical origin for achieving NUMB. To intuitively understand the nonreciprocal phenomenon, the analytical solution of the equal-time second-order correlation function is approximately given through the Schr"odinger equation and compared with the full numerical solution obtained from the Lindblad master equation. From the two almost identical solutions, we show that a giant NUMB can be observed in the absence of probe detuning. We also show that a switchable NUMB can be achieved by tuning the relative phase between the external laser fields. In addition, increasing the amplitude of the probe field appropriately can reduce the impact of ambient thermal noise on NUMB. Our work may have potential applications in the design of nonreciprocal single-magnon devices.
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.
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 present an alternative scheme to achieve nonreciprocal unconventional magnon blockade (NUMB) in a hybrid system formed by two microwave cavities and one yttrium iron garnet (YIG) sphere, where the pump and signal cavities interact nonlinearly with each other and the signal cavity is coupled to the YIG sphere. It is found that the nonlinear coupling occurs between the pump cavity and magnon modes due to the dispersive interactions among three bosonic modes. Meanwhile, the Kerr nonlinearity is present in the pump cavity. Based on these nonlinear effects, a nonreciprocal magnon blockade could be achieved with the help of weak parametric driving of the pump cavity. The present work provides an alternative method to prepare single magnon resource, which may be helpful for quantum information processing.
In this paper we propose a scheme for achieving simultaneous nonreciprocal photon blockade for two coupled spinning resonators, one of which contains an optical parametric amplifier (OPA). Rotating two resonators gives rise to opposite Sagnac-Fizeau shifts for input from different ends. Depending on the opposite shifts, quantum destructive interference emerges and disappears in two-photon excitation. The emergence of destructive interference results in photon blockade in two resonators simultaneously for one end input, while the lack of complete destructive interference makes the blockade disappear for the other end input. The simultaneous nonreciprocal blockade is tunable by controlling the amplitude of the probe field and the driving field applied on the OPA. Our work paves the way to develop simultaneous nonreciprocal single-photon devices in multiple modes, which have potential applications in multichannel topological and chiral quantum technologies.
Abstract Nonreciprocal devices, allowing to manipulate one‐way signals, are crucial to quantum information processing and quantum networks. Here a nonlinear cavity‐magnon system is proposed, consisting of a microwave cavity coupled to one or two yttrium–iron–garnet (YIG) spheres supporting magnons with Kerr nonlinearity, to investigate nonreciprocal unconventional photon blockade. The nonreciprocity originates from the direction‐dependent Kerr effect, distinctly different from previous proposals with spinning cavities and dissipative couplings. For a single sphere case, nonreciprocal unconventional photon blockade can be realized by manipulating the nonreciprocal destructive interference between two active paths, via varying the Kerr coefficient from positive to negative, or vice versa. By optimizing the system parameters, the perfect and well‐tuned nonreciprocal unconventional photon blockade can be predicted. For the case of two spheres with opposite Kerr effects, only reciprocal unconventional photon blockade can be observed when two cavity‐magnon coupling strengths Kerr strengths are symmetric. However, when coupling strengths or Kerr strengths become asymmetric, nonreciprocal unconventional photon blockade appears. This implies that two‐sphere nonlinear cavity‐magnon systems can be used to switch the transition between reciprocal and nonreciprocal unconventional photon blockades. This study offers a potential platform for investigating the nonreciprocal photon blockade effect in nonlinear cavity magnonics.
We propose to achieve and enhance the unconventional magnon blockade effect, based on a quantum destructive interference mechanism in an op to mechanical magnetic system composed of a rotating cavity and a yttrium irongarnet (YIG) sphere. We introduce a degenerate parametric amplifier and derive the optimal parametric gain and phase to achieve magnon blockade analytically. By tuning the system parameters (weak coupling) and the driving detuning of the cavity and magnon modes, we achieve the smallest second-order magnon correlation function. The optomechanical cavity couples to the YIG sphere by magnetic dipole interaction. We achieve unconventional magnon blockade effects when the cavity is driven from a clockwise or counterclockwise direction. We introduce a new feature that combines the impact of destructive interference and energy-level anharmonicity to achieve magnon blockade. The equal-time second-order magnon correlation avoids time delay and rapid oscillation. In the input end of the system, two photons drive, and complete quantum destructive interference. This study opens a new window for physical applications, including the generation of single magnon sources, Quantum sensing, and Quantum simulation. Experimentally, we can control quantum noise and amplify the signal using parametric amplification.