Regensburg 2025 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 13: Many-body Quantum Dynamics I (joint session DY/TT)
DY 13.2: Talk
Tuesday, March 18, 2025, 09:45–10:00, H37
Exact spectral function and nonequilibrium dynamics of the strongly interacting Hubbard model — Ovidiu I. Pâţu1, •Andreas Klümper2, and Angela Foerster3 — 1Institute for Space Sciences, Bucharest-Măgurele, R 077125, Romania — 2Fakultät für Mathematik und Naturwissenschaften, Bergische Universität Wuppertal, 42097 Wuppertal, Germany — 3Instituto de Física da UFRGS, Av. Bento Gonçalves 9500, Porto Alegre, RS, Brazil
Analytical results on the correlation functions of strongly correlated many-body systems are rare in the literature and their importance cannot be overstated. We present determinant representations for the space-, time-, and temperature-dependent correlation functions of the strongly interacting one-dimensional Hubbard model in the presence of an external trapping potential. These representations are exact and valid in both equilibrium and nonequilibrium scenarios like the ones initiated by a sudden change of the confinement potential. In addition, they can be implemented numerically very easily significantly outperforming other numerical approaches. As applications of our results we investigate the single particle spectral functions of systems with harmonic trapping and show that dynamical quasicondensation occurs for both fermionic and bosonic spin-1/2 systems released from a Mott insulator state.
Keywords: strong correlations; Hubbard model; spin-incoherent Luttinger liquid; optical traps