Nonreciprocal unconventional magnon blockade induced by Barnett effect and parametric amplification.

We propose a scheme to achieve nonreciprocal unconventional magnon blockade (UMB) via the Barnett effect in a spinning ferrimagnetic yttrium-iron-garnet sphere coupled to a microwave cavity that interacts with a parametric amplifier. We show that, with a strong cavity-magnon coupling regime, giant nonreciprocal UMB can emerge by appropriately choosing two sets of parameters in this system, i.e., strong magnon antibunching occurs only from one direction of the magnetic field but not from the other side. This nonreciprocity originates from the fact that the Barnett shift induced by the Barnett effect can be adjusted from positive to negative values by changing the magnetic field direction, resulting in different frequencies of the magnon mode. Moreover, we demonstrate that parametric amplification is an indispensable factor for constructing the pathways of quantum destructive interference to achieve strong UMB. Furthermore, we give analytical parameter conditions to realize strong UMB, which is proven to be in great agreement with numerical results. Interestingly, the nonreciprocity against magnon thermal occupation is remarkably enhanced by increasing the amplitude of the driving field. Notably, the critical temperature for observing nonreciprocal UMB is as high as 133 mK, and the sphere needs to spin at MHz values to achieve the UMB effect. Our work provides an avenue to realize nonreciprocal single-magnon devices and has potential applications in quantum information processing and quantum communication.