In this thesis the stored energy and its fluctuations of a central spin battery with nearest- neighbour interactions between the battery spins are investigated. Using analytical ex- pressions, it is shown that for 2 battery spins and equal strength in the flip-flop interaction g
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In this thesis the stored energy and its fluctuations of a central spin battery with nearest- neighbour interactions between the battery spins are investigated. Using analytical ex- pressions, it is shown that for 2 battery spins and equal strength in the flip-flop interaction g and nearest-neighbour interaction J, the fluctuations are minimal whenever the bat- tery is maximally charged when taking at least four charge spins. Similarly, whenever the formed envelopes of the energy have a zero, the fluctuations have a global maximum. In the same limit, it could also be seen that an increase of the charge spins Nc and spin-ups m, resulted in In this thesis the stored energy and its fluctuations of a central spin battery with nearest-neighbour interactions between the battery spins are investigated. Using analytical expressions, it is shown that for 2 battery spins and equal strength in the flip-flop interaction g and nearest-neighbour interaction J, the fluctuations are minimal whenever the battery is maximally charged when taking at least four charge spins. Similarly, whenever the formed envelopes of the energy have a zero, the fluctuations have a global maximum. In the same limit, it could also be seen that an increase of the charge spins Nc and spin-ups m, resulted in a higher global maximum of the stored energy. Furthermore for 2 battery spins, taking the limit J ≫ g results in a situation where the battery cannot be charged at all, whereas taking the limit g ≫ J results in a central spin battery where no nearest-neighbour interactions are present; its stored energy as a function of time is a single cosine function, that is always able to reach its theoretical maximum. Similar results were found for systems with more than 2 battery spins. Increasing J with constant g resulted in a decrease of the global maximum of the energy, dropping from its theoretical maximum to its minimum. Opposite behaviour could be seen when increasing g with constant J. Whenever the global maximum of the energy crossed the line E = 0, the fluctuations at the same moment in time formed a peak. a higher global maximum of the stored energy. Furthermore for 2 battery spins, taking the limit J ≫ g results in a situation where the battery cannot be charged at all, whereas taking the limit g ≫ J results in a central spin battery where no nearest-neighbour interactions are present; its stored energy as a function of time is a single cosine function, that is always able to reach its theoretical maximum. Similar results were found for systems with more than 2 battery spins. Increasing J with constant g resulted in a decrease of the global maximum of the energy, dropping from its theoretical maximum to its minimum. Opposite behaviour could be seen when increasing g with constant J. Whenever the global maximum of the energy crossed the line E = 0, the fluctuations at the same moment in time formed a peak.