Circuit Quantum Electrodynamics: Bistability and Squeezed States

Abstract

The emerging fields of quantum computation and quantum information science has required efforts on the development of new concepts and tools for the controlled application of quantum phenomena, in particular at the most fundamental level of single particles. Cavity quantum electrodynamics is a very useful technique to study the transmission and processing of information in open quantum systems through the interaction of individual particles of matter and light. Currently, one of the most successful hybrid systems is the combination of a microwave resonator with superconducting qubits, where such a combination is often called circuit quantum electrodynamics. This combination has been investigated mainly due to its scalability potential and its power to obtain strong and ultrastrong coupling regimes. The goal of this project is on exploring theoretically circuit quantum electrodynamics together with the study of the phenomenon of optical bistability and the generation of squeezed states, in order to provide a deeper understanding of the basis of quantum mechanics to adequately understand and improve the functionality of quantum devices based on these phenomena. In this project, by a research internship abroad, we will also study the generation of stable Schrödinger's cat states in circuit quantum electrodynamics considering the ultrastrong and deep strong coupling regimes.