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DY: Fachverband Dynamik und Statistische Physik
DY 20: Many-body Quantum Dynamics II (joint session DY/TT)
DY 20.9: Vortrag
Mittwoch, 19. März 2025, 11:45–12:00, H37
Towards the chaotic melting at low energies in large systems — •Mathias Steinhuber1, Jonas Rigo2, Juan Diego Urbina1, Klaus Richter1, and Markus Schmitt1,2 — 1University of Regensburg, Regensburg, Germany — 2Forschungszentrum Jülich GmbH, Peter Grünberg Institute, Quantum Control (PGI-8), Jülich, Germany
Thinking in a classical phase space picture, a many-body ground state should be localized around the minimum of the classical mean-field energy landscape with stable integrable features. But here, we investigate many-body ground states on chaotic features, as the phase space picture is actually fragile if we increase the system size and keep the quantum scale (the effective Plank constant ℏeff) fixed. With the new degrees of freedom, we disturb the energy landscape in the classical limit more and more such that classical chaos is present even for low energies. We show this phenomenon, called ’chaotic melting’ [1,2], is indeed happening in the Bose-Hubbard system with disorder. By using neural quantum states we can push quantum calculations for ground states to large systems and find signatures of chaos at the ground state. An intriguing application for these large systems is that the Bose-Hubbard Hamiltonian with disorder is an effective model for transmon arrays which are a prime candidate for quantum computer hardware. Therefore we also gain access to quantum states describing a possible quantum computer with chaotic features.
[1] S.-D. Börner, et al. Phys. Rev. Research 6, 033128 (2024)
[2] J. Chávez-Carlos, et al. arXiv: 2310.17698 (2024)
Keywords: Machine Learning; Neural Quantum States; Chaotic Melting; Bose Hubbard/Transmon