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Atoms Coupled to Magnetic, Mechanically Resonant Microstructures
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The goal of this project is to study the interaction between atoms and
magnetic resonant microstructures. A spin-polarized atom has a magnetic moment
that, for example, precesses when placed in a DC magnetic field. This precession
can be excited by an oscillating magnetic field with a frequency equal to the
that of the atomic precession and oriented perpendicular to the DC magnetic
field. Alternatively, the magnetic field generated by and ensemble of precessing
atoms (or perhaps even a single precessing atom) can be detected by a sensitive
magnetometer.
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The principle behind experiments designed to study coupling
between atoms and magnetic, mechanically resonant microstructures. |
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Experimental apparatus for measuring spin
precession of atoms excited by the motion of a magnetic
microstructure. |
Micromachining techniques based on photolithographic patterning and
etching of Si-based materials have developed rapidly over the last few
years. One class of devices that have received considerable attention is
that of mechanically resonant microstructures, such as cantilevers,
torsional resonators and disk resonators. The atomic force microscope is
perhaps the most famous example of an application of a mechanically resonant
microstructure. In an atomic force microscope, van der Waals interactions
between a surface and a nanometer-scale mechanically resonant device alter
the resonant frequency of the device, the motion of which is detected
optically. A related field, magnetic force microscopy, involves magnetic
interactions between a resonant microstructure with a magnetic tip and a
magnetic surface. More information on work at NIST in magnetic force
microscopy can be found at the
Nanoprobe Imaging group.
Since a moving mechanical resonator with a magnetic tip can create an
oscillating magnetic field some distance from the tip, spin precession in
atoms near the tip can be excited by the motion of the cantilever. This
excitation is most effective if the resonant frequency of the cantilever is
the same as the spin precession frequency of the atoms since a small driving
force can excite a large amplitude of motion for the cantilever and
therefore generate a large oscillating magnetic field. In order to create a
resonant interaction, that is, one that involves multiple oscillations of the
cantilever and atomic spin, the atoms must be moving slowly enough that the
period they
spend in the oscillating field longer than several oscillation
periods. Free room-temperature atoms, moving with velocities exceeding 100
m/s, spend only a few microseconds near the millimeter-scale microstructure, not long
enough to interact in a resonant manner. The experiment is therefore carried
out with laser-cooled atoms, which have thermal velocities of a few
centimeters per second and
therefore spend a few tens of milliseconds near the cantilever tip.
The basic experimental apparatus is shown above at right. Atoms are
laser-cooled to a few microkelvins and trapped in a standard magneto-optic
trap. They are then released from the trap and fall towards the cantilever
placed below the MOT. On their way to the cantilever the atoms are optically
pumped by a laser beam into a single spin state. They then fall past the
cantilever, and the spin precession is excited. After passing the cantilever,
the state of the atoms is detected by a combination of microwave and optical
excitation. Cantilevers fabricated for this experiment are shown in the
figure below.
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