Abstract
We present a scheme to entangle the vibrational phonon modes of two massive ferromagnetic spheres in a dual-cavity magnomechanical system. In each cavity, a microwave cavity mode couples to a magnon mode (spin wave) via the magnetic dipole interaction, and the latter further couples to a deformation phonon mode of the ferromagnetic sphere via a nonlinear magnetostrictive interaction. We show that by directly driving the magnon mode with a red-detuned microwave field to activate the magnomechanical anti-Stokes process a cavity–magnon–phonon state-swap interaction can be realized. Therefore, if the two cavities are further driven by a two-mode squeezed vacuum field, the quantum correlation of the driving fields is successively transferred to the two magnon modes and subsequently to the two phonon modes, i.e., the two ferromagnetic spheres become remotely entangled. Our work demonstrates that cavity magnomechanical systems allow to prepare quantum entangled states at a more massive scale than currently possible with other schemes.
Highlights
Preparing entangled states of macroscopic, massive objects is of significance to many fundamental studies, e.g., probing the boundary between the quantum and classical worlds [1,2,3], tests of decoherence theories at the macro scale [4,5,6], and gravitational quantum physics [7], among many others
We present a scheme to entangle the vibrational phonon modes of two massive ferromagnetic spheres in a dual-cavity magnomechanical system
Our work demonstrates that cavity magnomechanical systems allow to prepare quantum entangled states at a more massive scale than currently possible with other schemes
Summary
Preparing entangled states of macroscopic, massive objects is of significance to many fundamental studies, e.g., probing the boundary between the quantum and classical worlds [1,2,3], tests of decoherence theories at the macro scale [4,5,6], and gravitational quantum physics [7], among many others. CMM has been used to produce stationary entangled MW fields by coupling a magnon mode to two MW cavities [33] These protocols [15,16,17, 33] essentially utilize the nonlinear magnetostrictive interaction effectively activated by properly driving the magnon mode with a magnetic field, which can be experimentally realized by directly driving the YIG sphere with a small MW loop antenna [34], allowing to implement the magnomechanical beamsplitter or two-mode squeezing interactions. Similar ideas of transferring an entangled state from light to macroscopic mechanical oscillators have been provided for optomechanical systems [48,49,50]
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