Print Email Facebook Twitter Energy Storage and Fluctuations in a Central-Spin Quantum Battery with Nearest-Neighbour Interactions Title Energy Storage and Fluctuations in a Central-Spin Quantum Battery with Nearest-Neighbour Interactions Author Kokkedee, Olivier (TU Delft Electrical Engineering, Mathematics and Computer Science; TU Delft Applied Sciences) Contributor Blaauboer, M. (mentor) Dubbeldam, J.L.A. (mentor) Blanter, Y.M. (graduation committee) Thies, J. (graduation committee) Degree granting institution Delft University of Technology Programme Applied Mathematics | Applied Physics Date 2024-03-19 Abstract 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 interactiong and nearest-neighbour interaction J, the fluctuations are minimal whenever the bat-tery is maximally charged when taking at least four charge spins. Similarly, wheneverthe 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 andspin-ups m, resulted in a higher global maximum of the stored energy. Furthermore for2 battery spins, taking the limit J ≫ g results in a situation where the battery cannotbe charged at all, whereas taking the limit g ≫ J results in a central spin battery whereno nearest-neighbour interactions are present; its stored energy as a function of time isa 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 withconstant g resulted in a decrease of the global maximum of the energy, dropping from itstheoretical maximum to its minimum. Opposite behaviour could be seen when increasingg 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. To reference this document use: http://resolver.tudelft.nl/uuid:38af02e4-93b7-4784-b0a7-dbd0d0f65feb Part of collection Student theses Document type bachelor thesis Rights © 2024 Olivier Kokkedee Files PDF BEP_thesis_Olivier_Kokkedee.pdf 849.42 KB Close viewer /islandora/object/uuid:38af02e4-93b7-4784-b0a7-dbd0d0f65feb/datastream/OBJ/view