چكيده لاتين
This thesis explores the interplay between the dynamic characteristics of a quantum emitter and the geometry and material composition of the surrounding plasmonic nanostructure. Electromagnetic radiation interacting with metals at optical frequencies has the potential to intensify the charge density oscillations of the free electron gas within the material. These oscillations, termed plasmon polaritons, induce a markedly amplified optical field in close proximity to the metal surface. The presence of a quantum emitter in the vicinity of these excitations results in an open quantum system, whose dynamics are described by a non-unitary temporal evolution. The Markovian approximation, typically applied under weak system-environment coupling, infinite baths, elevated temperatures, or minimal correlations in the initial system-environment state, may falter, leading to non-Markovian dynamics. The emergence of non-Markovian dynamics highlights memory effects, characterized by the restoration of systemʹs attenuated correlations during interaction with the environment. Manipulating the transition between Markovian and non-Markovian dynamics confers control over memory effects. Simultaneously, the uncertainty principle imposes constraints on the speed of observables evolution, encapsulated by the quantum speed limit. In quantum information processing, transitioning a state to an orthogonal state is crucial, as the duration of this transformation determines the processing speed. This thesis scrutinizes the dependence of three non-Markovian measures and the quantum speed limit on the geometry and material composition of plasmonic nanostructures. Examined nanostructures encompass three geometries: nanospheres, spherical core-shell nanostructures, and nanodisks. Nanospheres, comprising plasmonic noble metals like gold and silver, coalesce with spherical core-shell nanostructures, featuring a core of gold sulfide and shells of gold and silver, as well as nanodisks, fashioned from two-dimensional plasmonic materials such as graphene and molybdenum disulfide. Findings unveil the pronouncedly non-Markovian dynamics of spontaneous emission proximate to the nanostructure, diminishing with increasing distance. Moreover, the quantum speed limit escalates with emitter-nanostructure separation, eventually aligning with the systemʹs evolution time. Furthermore, the correlation between non-Markovian measures and the quantum speed limit and geometric parameters suggests manipulability through parameter alteration, thereby modulating dynamics and evolution speed within these systems. Significantly, a key outcome of this thesis is the delineation of the dynamic transition distance from non-Markovian to Markovian dynamics, contrasted across diverse plasmonic geometries and materials.
