Atomic chains with rydberg excitations bose hubbard parameters to correlation dynamics

Abstract

Synthetic quantum systems are simplified versions of real world complex quantummany body systems They provide a versatile testbed for understanding the complexphenomenons of condensed matter physics nuclear physics high energy physics and chemistry In the context of quantum many body physics these systems havemainly been used to study various spin models and Hubbard type models Themajor advantage of synthetic quantum systems is the possibility to have controlover system parameters such as dimension scale the strength of interaction andrange of the interaction The tremendous experimental progress in the area of lasercooling and trapping has boosted the development of various synthetic quantumsystems based on different architectures The platforms based on ultracold atoms ions superconducting circuits photons have emerged in the past two decades andhave succeeded in revealing exotic quantum phenomena Among all the platforms Rydberg atom based quantum systems stand out because of strong controllableinteraction single site addressability scalability and large coherence times Thesesystems have been used to study both the ground state physics as well as non equilibrium dynamics of various spin models This work is focused on utilizing the properties of Rydberg atoms along withother tools to achieve control over the interactions population dynamics correlations and entanglement in the system In three independent setups we show howthe specific properties of the system along with the properties of Rydberg atomscan be used to achieve the same Towards that goal in Chapter 1 we give a briefoverview of the developments in the field of ultra cold atoms We then discuss thebasic properties of Rydberg atoms such as Rydberg blockade Rydberg dressed interaction Bose Hubbard model photonic crystal waveguides These properties willbe used in subsequent chapters In chapter 2 we calcula newline newline