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Meet with recruiters who are specifically seeking to hire LSA talent, hear tips from fellow LSA students who have interned in a variety of roles, and connect with Hub staff to identify your next steps and make the most of your experience!\n\nThe Opportunity Hub aims to deliver inclusive and accessible experiences and welcomes all LSA students to participate. This event is on the 1st and 2nd floor of a wheelchair accessible building which includes wheelchair-accessible restrooms on the 1st floor, a gender-inclusive and accessible restroom on the 1st floor, places to sit or stand during the event, and accessible parking options nearby on Maynard Street. 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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. 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