RB
R. Broekhoven
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Recent advancements in research technology have enabled the analysis of matter at the atomic level, allowing for the investigation of peculiar quantum mechanical phenomena, such as the time evolution of coherent quantum states [8]. This thesis takes the initial steps towards modelling the decoherence of magnetic atoms on a conducting surface, considering the coupling between the atoms and the surface leading to the decoherence of the spin states in a chain of atoms.
To characterise the relaxation and decoherence of a spin chain, the Lindblad equation is employed to describe the Kondo interaction with the surface. Two models are presented: one that considers interactions at the level of individual atoms, and another that incorporates the impact of the environment on the collective state of the chain. These models provide insight into the dynamic behaviour and decoherence of various adatom chain configurations. The analysis reveals a steady decrease in coherence time with an increasing chain length. Furthermore, it is demonstrated that the decay rate scales linearly with temperature for a chain of two atoms.
In addition, this thesis explores the scenario of asymmetric coupling, where only one atom is coupled to the surface. The results show that, for a two-atom chain, the coherence time is doubled in the asymmetric case. However, conclusive findings could not be drawn for longer chains. These results hold promise for future research and improvement of the model. ...
To characterise the relaxation and decoherence of a spin chain, the Lindblad equation is employed to describe the Kondo interaction with the surface. Two models are presented: one that considers interactions at the level of individual atoms, and another that incorporates the impact of the environment on the collective state of the chain. These models provide insight into the dynamic behaviour and decoherence of various adatom chain configurations. The analysis reveals a steady decrease in coherence time with an increasing chain length. Furthermore, it is demonstrated that the decay rate scales linearly with temperature for a chain of two atoms.
In addition, this thesis explores the scenario of asymmetric coupling, where only one atom is coupled to the surface. The results show that, for a two-atom chain, the coherence time is doubled in the asymmetric case. However, conclusive findings could not be drawn for longer chains. These results hold promise for future research and improvement of the model. ...
Recent advancements in research technology have enabled the analysis of matter at the atomic level, allowing for the investigation of peculiar quantum mechanical phenomena, such as the time evolution of coherent quantum states [8]. This thesis takes the initial steps towards modelling the decoherence of magnetic atoms on a conducting surface, considering the coupling between the atoms and the surface leading to the decoherence of the spin states in a chain of atoms.
To characterise the relaxation and decoherence of a spin chain, the Lindblad equation is employed to describe the Kondo interaction with the surface. Two models are presented: one that considers interactions at the level of individual atoms, and another that incorporates the impact of the environment on the collective state of the chain. These models provide insight into the dynamic behaviour and decoherence of various adatom chain configurations. The analysis reveals a steady decrease in coherence time with an increasing chain length. Furthermore, it is demonstrated that the decay rate scales linearly with temperature for a chain of two atoms.
In addition, this thesis explores the scenario of asymmetric coupling, where only one atom is coupled to the surface. The results show that, for a two-atom chain, the coherence time is doubled in the asymmetric case. However, conclusive findings could not be drawn for longer chains. These results hold promise for future research and improvement of the model.
To characterise the relaxation and decoherence of a spin chain, the Lindblad equation is employed to describe the Kondo interaction with the surface. Two models are presented: one that considers interactions at the level of individual atoms, and another that incorporates the impact of the environment on the collective state of the chain. These models provide insight into the dynamic behaviour and decoherence of various adatom chain configurations. The analysis reveals a steady decrease in coherence time with an increasing chain length. Furthermore, it is demonstrated that the decay rate scales linearly with temperature for a chain of two atoms.
In addition, this thesis explores the scenario of asymmetric coupling, where only one atom is coupled to the surface. The results show that, for a two-atom chain, the coherence time is doubled in the asymmetric case. However, conclusive findings could not be drawn for longer chains. These results hold promise for future research and improvement of the model.