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Disconnected Diagrams In Lattice Qcd, Arjun Singh Gambhir
Disconnected Diagrams In Lattice Qcd, Arjun Singh Gambhir
Dissertations, Theses, and Masters Projects
In this work, we present state-of-the-art numerical methods and their applications for computing a particular class of observables using lattice quantum chromodynamics (Lattice QCD), a discretized version of the fundamental theory of quarks and gluons. These observables require calculating so called "disconnected diagrams" and are important for understanding many aspects of hadron structure, such as the strange content of the proton. We begin by introducing the reader to the key concepts of Lattice QCD and rigorously define the meaning of disconnected diagrams through an example of the Wick contractions of the nucleon. Subsequently, the calculation of observables requiring disconnected diagrams …
Optical Control Of Multi-Photon Coherent Interactions In Rubidium Atoms, Gleb Vladimirovich Romanov
Optical Control Of Multi-Photon Coherent Interactions In Rubidium Atoms, Gleb Vladimirovich Romanov
Dissertations, Theses, and Masters Projects
In the last few decades, coherent light-atom interactions have opened unprecedented possibilities for the coherent control of atomic and optical quantum systems, paved the way for the practical realization of quantum information technologies, and allowed for the creation of novel quantum-enhanced sensors. This dissertation investigates the interaction of multiple near-resonant optical fields with hot rubidium atoms under the conditions of electromagnetically induced transparency. The main goal of the presented research is to address some fundamental challenges in using such systems for practical applications. The EIT effect relies on the strong coupling of an optical probe field and a collective long-lived …