JILA X317

Abstract:

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Out-of-equilibrium dynamics of isolated quantum many-body systems is generally intractable. In chaotic quantum systems, however, local observables rapidly relax to their equilibrium values. Hence, simple translationally-invariant initial states are expected to quickly reach thermal equilibrium for local expectation values. The equilibration of fluctuations on the other hand goes beyond standard thermalization and is expected to happen on much longer timescales, since their approach to equilibrium is limited by the hydrodynamic build-up of large-scale fluctuations.

Abstract:

A key goal in modern quantum science is to harness the complex behavior of quantum systems to develop new technologies. While precisely engineered platforms featuring ultracold atoms and trapped ions have emerged as powerful tools for this task, the limited ability to theoretically probe these systems poses challenges for improved control and characterization. In this thesis, I focus on the development of new computational tools, utilizing tensor networks and phase space methods, for studying the far-from-equilibrium dynamics of quantum many-body systems.

Kinetic and Two-Temperature Plasma Physics of Black Hole Accretion Disks and X-ray Coronae

Abstract: Silicon Vacancy (SiV) centers in diamond coupled to nanophotonic cavities offer a promising platform for quantum communication. Our system utilizes long coherence times, high optical cooperativities, and on-chip scalability, providing a unique path to the practical implementation of long-distance quantum networking.

Abstract: One-dimensional systems exhibiting a continuous symmetry can host quantum phases of matter with true long-range order only in the presence of sufficiently long-range interactions. In most physical systems, however, the interactions are short-ranged, hindering the emergence of such phases in one dimension.