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Robert Sims

Professor, Applied Mathematics - GIDP | Acting Department Head | Professor | Member of the Graduate Faculty

Mathematics
Map Page
$579.1K / $614.3K Funding
5+ Grants
60+ Publications
9+ Courses

Research Area

mathematical physics, lattice systems, quantum physics, quantum systems, lieb-robinson bounds, dynamics, disordered systems, many-body systems, quantum dynamics, entanglement

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    Recent

    Entanglement bounds for single-excitation energy eigenstates of quantum oscillator systems

    2024
    quantum mechanics, entanglement, quantum entanglement

    On quasi-locality and decay of correlations for long-range models of open quantum spin systems

    2024

    John B. Butcher1, 2, Robert E. Sims2, Neville M. Ngum2, Amjad H. Bazzari2, Stuart I. Jenkins3, Marianne King2, Eric J. Hill2, David A. Nagel4, Kevin Fox5, H. Rheinallt Parri2 …

    2022
    numerical analysis, computational mathematics, scientific computing, mathematical modeling, numerical methods

    A requirement for astrocyte IP3R2 signaling for whisker experience-dependent depression and homeostatic upregulation in the mouse barrel cortex

    2022
    neuroscience, astrocyte signaling, whisker experience, homeostatic regulation, mouse barrel cortex

    Lieb Robinson Bounds and Strongly Continuous Dynamics for a Class of Many-Body Fermion Systems in mathbb R}d$Rd

    2020
    quantum dynamics, mathematical physics

    On the Regime of Localized Excitations for Disordered Oscillator Systems

    2020
    disordered systems, oscillator, research

    Analytic Trends in Mathematical Physics

    2020
    mathematical physics, analytic techniques, trends in physics, mathematical analysis, quantitative methods

    Quasi-Locality Bounds for Quantum Lattice Systems. Part II. Perturbations of Frustration-Free Spin Models with Gapped Ground States

    2020
    quantum physics, lattice systems, spin models, ground states, perturbations

    Quasi-locality bounds for quantum lattice systems. I. Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms

    2019
    quantum physics, lattice systems, lieb-robinson bounds, spectral flow, automorphisms

    Lieb-Robinson bounds and strongly continuous dynamics for a class of many-body fermion systems in mathbb{R}d$

    2019
    quantum dynamics, many-body systems, lieb-robinson bounds, fermion systems, mathematical physics

    • Analysis of Ordinary Differential Equations

    • Banach and Hilbert Spaces

    • Real Analysis of One Variable

    • Theory of Probability

    • Linear Algebra

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