Information, chaos, and thermodynamic notions in quantum systems

This dissertation consists of four chapters. The first broadly and briefly orients the reader through an introduction to information spreading in quantum Ising systems, classical chaos, and entanglement in holographic settings. The next three chapters correspond to distinct lines of research conducted during my time as a graduate student, chosen for their thematic relation to information, information dynamics, chaos, and entanglement entropy. Chapter two is based on work conducted with Stefan Eccles, Willy Fischler, Juan Pedraza, and Sarah Racz, studying the spread of information in non-local quantum Ising systems [23]. Chapter three is based on work with Willy Fischler and Phuc Nugyen, studying chaos in a non-commutative field theory [29]. Chapter four is based on work with Phuc Nugyen, testing volume law entanglement in a holographic boosted black hole setting [38].