Winning at Quantum Dice

Abstract

We analyze the spin dynamics of an individual magnetic atom (Mn) inserted in a II-VI semiconductor quantum dot under resonant optical excitation. In addition to standard optical pumping expected for a resonant excitation, we show that for particular conditions of laser detuning and excitation intensity, the Mn spin population can be trapped in the state which is resonantly excited. This effect is modeled considering the coherent spin dynamics of the coupled electronic and nuclear spin of the Mn atom optically dressed by a resonant laser field. This "spin population trapping" mechanism is controlled by the combined effect of the coupling with the laser field and the coherent interaction between the different Mn spin states induced by an anisotropy of the strain in the plane of the quantum dot.

Quick counting of probability distributions for the sum of multi-sided dice: a physical and didactic approach

“…applications [19,20,32]; in quantum and nuclear physics [28][29][30][31][32][33][34]; genomic sciences [27]; in medicine and biology [25,26]; in nuclear medicine [24], and so on. In these disciplines there are many objects that have random collective and individual behavior, so they obey statistical and probabilistic laws.…”

“…A study by Murray and Hart [15], shows this application at a didactic level which allows us to see (analyze) the trend of the socalled radioactive dice as the number of sides is increased. Another area of application and interest is in quantum physics (especially quantum optics, and semiconductor physics) with the so-called quantum dice [28,[30][31][32][33]. Which is a more advanced application area, however, under the ideas of probability and statistics these become more understandable to undergraduate students.…”