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We demonstrate the transfer of orbital angular momentum to optically levitated
microparticles in vacuum [1]. We prepare two-dimensional and three-dimensional optical
potentials. In the former case the microparticle is placed within a Laguerre-Gaussian beam
and orbits the annular beam profile with increasing angular velocity as the air drag coefficient
is reduced. We explore the particle dynamics as a function of the topological charge
of the levitating beam. Our results reveal that there is a fundamental limit to the orbital angular
momentum that may be transferred to a trapped particle, dependent upon the beam
parameters and inertial forces present. This effect was predicted theoretically [2] and can be
understood considering the underlying dynamics arising from the link between the magnitude
of the azimuthal index and the beam radius [3].
Whilst a Laguerre-Gaussian beam scales in size with azimuthal index `, recently we
have created a “perfect” vortex beam whose radial intensity profile and radius are both
independent of topological charge [4, 5]. As the Fourier transform of a perfect vortex yields
a Bessel beam. Imaging a perfect vortex, with its subsequent propagation thus realises a
complex three dimensional optical field. In this scenario we load individual silica microparticles
into this field and observe their trajectories. The optical gradient and scattering forces
interplay with the inertial and gravitational forces acting on the trapped particle, including
the rotational degrees of freedom. As a result the trapped microparticle exhibits a complex
three dimensional motion that includes a periodic orbital motion between the Bessel and
the perfect vortex beam. We are able to determine the three dimensional optical potential
in situ by tracking the particle. This first demonstration of trapping microparticles within
a complex three dimensional optical potential in vacuum opens up new possibilities for
fundamental studies of many-body dynamics, mesoscopic entanglement [6, 7], and optical
binding [8, 9].
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