The main goal of quantum technologies is to “control quantum states to achieve new functions”.Light is one of the main tools to achieve quantum control.Studying the interaction between light and matter is the physical basis to achieve quantum control.Two-dimensional van der Waals materials are an exciting platform to study the strong coupling between light and matter due to their near-field enhancement properties to light.Light hybridizes with various collective oscillation waves on the surface of van der Waals materials to form different excitons,such as light hybridizes with charge density waves on the surface of graphene to form surface plasmon polaritons,and light hybridizes with excitons on the surface of transition metal disulfide monolayers to form exciton polaritons.The subdiffraction and subwavelength characteristics of each type of polaritons make such systems ideal candidates for the development of novel quantum interconnect excitonic components.However,the absorption of excitons by materials usually leads to the disappearance of coupling,quantum information,and correlation between quantum emitters as the nodes of quantum network mediated by excitons acting as the bus of quantum network,which greatly hinders its application.Therefore,how to control the destructive effects of damping of various types of excitons in materials on quantum emitters is one of the key issues in the realization of quantum interconnect devices with polaritons.Addressing on this issue,we make the following studies in this thesis.Firstly,we investigate the strong-coupling dynamics of quantum emitters with polaritons on two-dimensional van der Waals dielectric materials.In the study of the non-Markovian dynamics of the coupling of a single quantum emitter with a surface plasmon polariton on the surface of graphene,we find that,as the spacing between the emitter and the surface of graphene decreases and the coupling strength becomes larger,a bound state appears in the energy spectrum of the composite system formed by the emitter and the surface plasmon polariton.With the formation of this bound state,even if graphene has a strong absorption to the surface plasmon polariton,the decoherence of quantum emitter led by it is also suppressed.Further,we investigate the coupling dynamics of the two emitters to the exciton polariton on the transition metal disulfide surface.It is found that the dynamics of the emitters exhibits three qualitatively different long-time steady-state phenomena as the spacing between the emitters and the exciton polariton decreases: complete decoherence of the excited-state population,stable preservation,and sustained Rabi-like oscillations.These three behaviors correspond exactly to the formation of zero,one,and two bound states in the energy spectrum of the composite system formed by the two emitters and the exciton polariton.The results provide a theoretical basis for the efficient suppression of the decoherence of the quantum emitter due to the absorption of the exciton by the materials and paves the way for the development of quantum interconnections using polaritons.Secondly,we investigate the coupling dynamics of a single magnetic quantum emitter to a magnon on the surface of yttrium-iron garnet.We propose a mechanism to enhance the coupling of yttrium-iron garnet with quantum emitter by exploiting the magneton Kerr nonlinearity in it.We analyze the non-Markovian decoherence dynamics of the emitter at different Kerr nonlinearity coefficients and different emitter-magnon spacings.It is found that at different coupling strengths,zero,one or two bound states are formed in the energy spectrum of the composite system formed by the quantum emitter and the magnon.The corresponding dynamical evolution exhibits the steadystate behaviors of complete decoherence,excited state population preservation,or persistent Rabi-like oscillation.It is revealed that the formation of bound states causes profound physical consequences of a significant increase in the quantum speedup capacity of the emitter and the breakdown of the pseudocavity method commonly used in the literature to describe the this system.Our results enrich the understanding of the magnon-matter coupling.Finally,we investigate the coupling dynamics of periodically driven bipartite systems with independent magnetic lattice chain environments.The bipartite systems we study include the discrete-variable system represented by two nitrogen vacancy color centers and the continuous-variable system represented by two magnetic lattice cells,respectively.To address the problem commonly found in the literature that the independent environment causes the sudden death of quantum entanglement in bipartite systems,we propose the physical scheme of using periodic driving to protect the entanglement from sudden death.It is found that the evolution behaves of the entanglement of the periodically driven bipartite systems depend sensitively on the Floquet quasi-energy spectrum characteristics of the composite system formed by the bipartite system and its two-independent environments.Accompanying with the formation of a Floquet bound state in this quasi-energy spectrum,the quantum entanglement of both the discretevariable and continuous-variable systems exhibits a sustained oscillatory behavior at the same frequency as the periodic driving,where the sudden death of entanglement is avoided.Our results provide a feasible quantum control scheme for the protection of entanglement in a structured environment.In summary,our results in this thesis expand people’s understanding of light-matter interactions in lossy media.Our results also reveal a quantum control mechanism for“regulating bound states to suppress decoherence” that is applicable to both static and periodically driven systems and to discrete-and continuous-variable systems.Lastly,our results lay the theoretical foundation for the development of quantum interconnect devices using polaritons and magnons. |