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The superposition principle is one of the main tenets of quantum mechanics.Despite its counter-intuitiveness, it has been experimentally verified usingelectrons, photons, atoms, and molecules. However, a similar experimentaldemonstration using a nano or a micro particle is non-existent. Here in thisLetter, exploiting macroscopic quantum coherence and quantum tunneling, wepropose an experiment using levitated magnetic nanoparticle to demonstrate suchan effect. It is shown that the spatial separation between the delocalizedwavepackets of a $20~$nm ferrimagnetic yttrium iron garnet (YIG) nanoparticlecan be as large as $5~$$\mu$m. We argue that this large spatial separation canbe used to test different modifications such as collapse models to the standardquantum mechanics. Furthermore, we show that the spatial superposition of acore-shell structure, a YIG core and a non-magnetic silica shell, can be usedto probe quantum gravity.

Large spatial Schrodinger cat using a levitated ferrimagnetic nanoparticle