Energy absorption and diffusion in chaotic systems under rapid periodic driving

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dc.contributor.advisorJarzynski, Christopheren_US
dc.contributor.authorHodson, Wade Danielen_US
dc.contributor.departmentPhysicsen_US
dc.contributor.publisherDigital Repository at the University of Marylanden_US
dc.contributor.publisherUniversity of Maryland (College Park, Md.)en_US
dc.date.accessioned2022-06-22T05:37:28Z
dc.date.available2022-06-22T05:37:28Z
dc.date.issued2022en_US
dc.description.abstractIn this thesis, we study energy absorption in classical chaotic, ergodic systems subject to rapid periodic driving, and in related systems. Under a rapid periodic drive, we find that the energy evolution of chaotic systems appears as a random walk in energy space, which can be described as a process of energy diffusion. We characterize this process, and show that it generally predicts three stages of energy evolution: Initial relaxation to a prethermal state, followed by slow evolution of the system’s energy probability distribution in accordance with a Fokker-Planck equation, followed by either unbounded energy absorption or relaxation to an infinite temperature state. We then study the energy diffusion model in detail in driven billiard systems specifically; in particular, we obtain numerical results which corroborate the energy diffusion description for a specific choice of billiard. This is followed by an analysis of energy diffusion in one-dimensional oscillator systems subject to weak, correlated noise. Finally, we begin to investigate energy absorption in periodically driven quantum chaotic systems, i.e., quantum systems with a classical chaotic analogue. We invoke tools from Floquet theory and random matrix theory to investigate whether the classical energy diffusion framework can be applied to quantum systems, and under what conditions. We conclude with a discussion of potential models for energy absorption in quantum chaotic systems, and with an overview of open questions and directions for future work.en_US
dc.identifierhttps://doi.org/10.13016/olvh-jl2s
dc.identifier.urihttp://hdl.handle.net/1903/28999
dc.language.isoenen_US
dc.subject.pqcontrolledPhysicsen_US
dc.subject.pqcontrolledStatistical physicsen_US
dc.subject.pqcontrolledTheoretical physicsen_US
dc.subject.pquncontrolledBilliardsen_US
dc.subject.pquncontrolledChaosen_US
dc.subject.pquncontrolledEnergy absorptionen_US
dc.subject.pquncontrolledEnergy diffusionen_US
dc.subject.pquncontrolledFloqueten_US
dc.subject.pquncontrolledPeriodic drivingen_US
dc.titleEnergy absorption and diffusion in chaotic systems under rapid periodic drivingen_US
dc.typeDissertationen_US

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