Optical control over bulk excitations in fractional quantum Hall systems

Local excitations in fractional quantum Hall systems are amongst the most intriguing objects in condensed matter, as they behave like particles of fractional charge and fractional statistics. In order to experimentally reveal these exotic properties and, further, to use such excitations for quantum computations, microscopic control over the excitations is necessary. Here, we discuss different optical strategies to achieve such control. First, we propose that the application of a light field with nonzero orbital angular momentum can pump orbital angular momenta to electrons in a quantum Hall droplet. In analogy to Laughlin s argument, we show that this field can generate a quasihole or a quasielectron in such systems. Second, we consider an optical potential that can trap a quasihole, by repelling electrons from the region of the light beam. We simulate a moving optical field, which is able to control the position of the quasihole. This allows for imprinting the characteristic Berry phase, which reflects the fractional charge of the quasihole.