Dinâmica dissipativa em sistemas quânticos fortemente interagentes
Abstract
In this thesis we investigate the dissipative dynamics in strongly interacting quantum
systems. The dissipative dynamics that we investigate has relevance in the generation
of non-classic states of light, such as the squeezed states, besides being useful in the
description of phenomena give by dipole induced transparency (DIT) that are analogous to
the behavior that occurs in the electromagnetic induced transparency (EIT). We show that
the dissipative dynamics given by the microscopic master equation, plays a crucial role
to understand correct stationary and temporal dynamics in strongly interacting systems
described by spin chains. This thesis is organized in six chapters. In the second chapter, we
introduce, the dissipative formalisms necessary to describe the dissipative dynamics that
will be used in the following sections of this thesis. In the chapter 3, we report briefly the
basic radiation-matter interaction model, i.e., the Rabi model, and its implementation in
the context of circuit quantum electrodynamics (circuit QED). In the chapter 4, we provide
the basic concepts of two mode squeezed states (TMSS). Next, we describe the results
obtained to implement a protocol that aims to generate the two mode squeezed states
in the context of circuit QED, besides discussing all the realistic dissipative mechanisms
and their effects on the generation of the TMSS. In the chapter 5, we briefly discuss the
phenomenon of electromagnetically induced transparency (EIT) that will be essential
to understand the result of transparency induced by dipole-dipole coupling (DIT). We
also introduce an approach on the effects of periodic boundary conditions on the DIT
phenomenon. Finally, in the chapter 6, we discuss the dissipative dynamics in strongly
interacting spin chains and clarify the correct dissipative formalism to investigate the
dynamics in these systems.
Collections
The following license files are associated with this item: