{
    "149190-21905948":
    {
        "datetime_modified":"20260815T160439",
        "datetime_start":"20260910T160000",
        "datetime_end":"20260910T170000",
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        "date_start":"2026-09-10",
        "date_end":"2026-09-10",
        "time_start":"16:00:00",
        "time_end":"17:00:00",
        "time_zone":"America\/Detroit",
        "event_title":"DE Seminar: Mathematical Analysis of Many-Body Quantum Simulation with Coulomb Potentials",
        "occurrence_title":"",
        "combined_title":"DE Seminar: Mathematical Analysis of Many-Body Quantum Simulation with Coulomb Potentials: Di Fang (Duke)",
        "event_subtitle":"Di Fang (Duke)",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"Efficient simulation of many-body quantum dynamics is central to advances in physics, chemistry, and quantum computing. A fundamental question is whether the simulation cost can scale polynomially with system size in the presence of realistic interactions. In this talk, we focus on many-body quantum systems with Coulomb interactions, which play a central role in electronic and molecular dynamics. We prove that first-order Trotterization for such unbounded Hamiltonians admits a polynomial dependence on the number of particles in the continuum limit, with a convergence rate of order $1\/4$\u2014in contrast to prior Trotter analyses for bounded operators, which diverge in this limit. The result holds for all initial wavefunctions in the domain of the Hamiltonian. This $1\/4$-order rate is optimal, as previous work shows that it can be saturated by the ground state of the hydrogen atom. Moreover, higher-order Trotter formulas do not improve the worst-case scaling. We also discuss additional regularity conditions on the initial state under which the original Trotter convergence rate can be recovered. Finally, we discuss our recent development on the spatial error and algorithm complexities.",
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                "guid":"149190-21905948@events.umich.edu",
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        "building_name":"East Hall",
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        "room":"4088",
        "location_name":"East Hall",
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        "tags":["Applied Mathematics","Mathematics","Quantum"],
        "website":"",
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                "group_name":"Differential Equations Seminar - Department of Mathematics",
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