Many-body open system’s dynamics : investigating noise propagation through a spin chain

Abstract

Noise and decoherence are fundamental phenomena in the theory of open quantum systems. Understanding these processes is a challenge in quantum information theory, yet is essential for describing realistic quantum environments. This dissertation investigates dynamics of dephasing within the microscopic spin-boson model using both analytical and numerical approaches. By employing the Lindblad master equation as well as numerical simulations, the flow of quantum information from the system to the bosonic bath is examined. Coherence measures such as relative entropy and L1 norm are used to quantify this information exchange. The spin-chain models simulated are finite two- and three-body models, however the framework can be extended to study dynamics of a 1-D N-body spin-chain which is relevant in models such as the Ising Model.