Control of nanoparticles with arbitrary 2-D force fields (with W. E. Moerner, Stanford)
Under normal operation the ABEL trap provides a feedback electric field proportional to the most recently measured offset of the particle from the target location, and pointing back toward the target. However, it is simple to apply feedback using more complicated rules as well. The feedback voltage can be an arbitrary function of the present position of the particle, as well as its velocity, acceleration, or past positions. Furthermore, because we specify the force field and not the potential, there is no requirement that the force field be conservative. Thus the ABEL trap provides a platform for observing Brownian dynamics subject to complex force fields.
|We also looked at force fields corresponding to a double well potential:|
|The hopping rate between minima was as predicted by Kramers' theory. The figure shows a typical trajectory:|
- Adam Cohen: Control of nanoparticles with arbitrary two-dimensional force fields, Phys. Rev. Lett., 94, 118102, Mar. 25 2005
PRL Focus: Hold still, 22 March 2005