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Matthias Heinz
Technische Universität Darmstadt
June 18th, 2024
Ab initio nuclear structure theory aims to predict the structure of atomic nuclei from "first principles," employing systematically improvable approximations in the determination of inter-nucleon potentials and in the solution of the many-body Schrödinger equation. Over the past decade, the in-medium similarity renormalization group (IMSRG) has been established as a powerful and flexible method to approaching the many-body problem. The IMSRG solves for a unitary transformation that approximately diagonalizes the Hamiltonian (or produces an effective interaction within a valence space for shell model applications). This approximation can be systematically relaxed by including higher-body operators in the many-body solution. Recently, we have worked on extending the IMSRG to the next order, the IMSRG(3) with normal-ordered three-body operators. The IMSRG(3) truncation is formally more involved and also computationally substantially more expensive than the IMSRG(2), the well-established truncation used in applications so far. We have shown, however, that the most expensive terms in the IMSRG(3) can be truncated with little effect on the improved accuracy of the many-body solution, allowing the IMSRG(3) to be approximated at a reasonable computational cost comparable to other high fidelity nuclear structure methods like coupled cluster with approximate triples (CCSDT-1).
A key advantage of the IMSRG is its ability to interface with the shell model via the derivation of an effective valence space Hamiltonian (and consistent effective operators). This allows the IMSRG to describe open-shell nuclei easily, and this has been used to perform comprehensive studies of all isotopes up to iron. In calcium isotopes, the IMSRG(2) describes ground-state energies quite well, but struggles to quantitatively reproduce the spectra of calcium-48, a doubly-magic nucleus. Additionally, the trends in the charge radii of neutron-rich calcium are so far unexplained by ab initio methods. I will discuss the improved description of the structure of neutron-rich calcium isotopes made possible by the IMSRG(3) and what this means for existing discrepancies to experimental trends.
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Preparation on a quantum computer
Chung-Chun Hsieh
University of Maryland
June 4th, 2024
Quantum simulation holds promise of enabling a complete description of high-energy scattering processes rooted in gauge theories of the Standard Model. A first step in such simulations is preparation of interacting hadronic wave packets. To create the wave packets, one typically resorts to adiabatic evolution to bridge between wave packets in the free theory and those in the interacting theory, rendering the simulation resource intensive. In this work, we construct a wave-packet creation operator directly in the interacting theory to circumvent adiabatic evolution, taking advantage of resource-efficient schemes for ground-state preparation, such as variational quantum eigensolvers. By means of an ansatz for bound mesonic excitations in confining gauge theories, which is subsequently optimized using classical or quantum methods, we show that interacting mesonic wave packets can be created efficiently and accurately using digital quantum algorithms that we develop. Specifically, we obtain high-fidelity mesonic wave packets in the Z2 and U(1) lattice gauge theories coupled to fermionic matter in 1+1 dimensions. Our method is applicable to both perturbative and non-perturbative regimes of couplings. The wave-packet creation circuit for the case of the Z2 lattice gauge theory is built and implemented on the Quantinuum H1-1 trapped-ion quantum computer using 13 qubits and up to 308 entangling gates. The fidelities agree well with classical benchmark calculations after employing a simple symmetry-based noise-mitigation technique. This work serves as a step toward quantum computing scattering processes in quantum chromodynamics.
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Pooja Siwach
Lawrence Livermore National Laboratory
May 21st, 2024
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Paul Hotzy
University of Technology Vienna
May 7th, 2024
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Savvas Pitsinigkos
University of Southampton
April 23nd, 2024
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Markus Amano
Yamagata University
April 2nd, 2024
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Slides and videos from past seminars can be found here.