2 research outputs found
Linear Stability Analysis of a Levitated Nanomagnet in a Static Magnetic Field: Quantum Spin Stabilized Magnetic Levitation
We theoretically study the levitation of a single magnetic domain nanosphere
in an external static magnetic field. We show that apart from the stability
provided by the mechanical rotation of the nanomagnet (as in the classical
Levitron), the quantum spin origin of its magnetization provides two additional
mechanisms to stably levitate the system. Despite of the Earnshaw theorem, such
stable phases are present even in the absence of mechanical rotation. For large
magnetic fields, the Larmor precession of the quantum magnetic moment
stabilizes the system in full analogy with magnetic trapping of a neutral atom.
For low magnetic fields, the magnetic anisotropy stabilizes the system via the
Einstein-de Haas effect. These results are obtained with a linear stability
analysis of a single magnetic domain rigid nanosphere with uniaxial anisotropy
in a Ioffe-Pritchard magnetic field.Comment: Published version. 10 pages, 4 figures, 3 table
Quantum Spin Stabilized Magnetic Levitation
We theoretically show that, despite Earnshaw's theorem, a non-rotating single
magnetic domain nanoparticle can be stably levitated in an external static
magnetic field. The stabilization relies on the quantum spin origin of
magnetization, namely the gyromagnetic effect. We predict the existence of two
stable phases related to the Einstein--de Haas effect and the Larmor
precession. At a stable point, we derive a quadratic Hamiltonian that describes
the quantum fluctuations of the degrees of freedom of the system. We show that
in the absence of thermal fluctuations, the quantum state of the nanomagnet at
the equilibrium point contains entanglement and squeezing.Comment: Published version. 5 pages, 2 figure