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Physical Review A

Dynamical and stable spin squeezing via magnon Kerr nonlinearity in a hybrid solid-state system

Deyi Kong, Xiaokai Zhang, Fei Wang, Xin-You Lü

Published Oct 16, 2026• 0 citations
Publisher
DOI
10.1103/v86t-jr6y

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Optics Express•Mar 4, 2026•1 citation
Bosonic two-mode squeezed states are paradigmatic entangled states in continuous variable systems, which have broad applications in quantum information processing. In this work, we propose a photon-phonon squeezing protocol assisted by a Kerr magnon within a hybrid cavity magnomechanical system. We construct an effective Hamiltonian that accounts for photon-phonon squeezing through strong photon-magnon interaction and modulation over the driving on the photon mode. The effective Hamiltonian can be confirmed by the diagonalization of the system's Liouvillian superoperator. With the effective Hamiltonian and quantum Langevin equation, we provide a rigorous theoretical solution for the dynamical process of squeezing generation. Our finding indicates that the asymptotic stationary squeezing can be obtained by optimizing the squeezing quadrature operator, even when the covariance matrix of the system still varies with time. This squeezing level can exceed the maximum value under stable conditions. Moreover, our analysis reveals that a proper Kerr nonlinearity of the magnon can further promote the squeezing generation. Our work provides an extendable framework for generating squeezed states of two Gaussian modes with indirect coupling.
Abstract Based on the magnon Kerr effect, we show how to generate quantum squeezed states of magnons and photons in the cavity–magnon hybrid system. We find that the squeezing of magnons can be successfully induced by the magnon nonlinearity and the larger two-magnon effect strength will be beneficial to achieving the stronger squeezing of magnon. Resorting to the beam-splitter interaction between the magnons and photons, we further show that the squeezing of photons can be also effectively achieved. By properly choosing the system parameters, we demonstrate that the desired direction of the generated squeezing both for magnons and photons can be flexibly switched between orthogonal directions. Our scheme provides an alternative manipulation method to explore the quantum phenomena with nonlinear effects and also has significant potential applications in quantum precision measurement.
We focus on the multistability of quantum states in a nonlinear cavity magnonic system based on the cooperative effect of the magnon Kerr nonlinearity and the photon Kerr nonlinearity. Under experimentally feasible parameters, we first verify the multistability of magnon frequency shifts induced by the two nonlinearities by solving the classical mean value equations of the system. Then the multistability of the entangled state and squeezed state in the nonlinear system is revealed by investigating the quantum dynamics of the system fluctuations. By comparison, it is found that the multistable parameter regions for the classical states are exactly the same as those for the quantum states. We also explore the role of the system dissipations in the emergence of multistability, and the numerical results show that the multistable parameter regions will progressively shrink with the increase of the dissipations. These findings are meaningful for the study of nonlinear quantum effects in hybrid systems and may have potential applications in quantum information processing, precision measurement, and multifunctional quantum devices.