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MON: Monday Contributed Sessions
MON 15: Many-Body Quantum Dynamics II
MON 15.1: Talk
Monday, September 8, 2025, 16:30–16:45, ZHG003
Towards a Many-Body Generalization of the Wigner-Smith Time Delay — •Georg Maier1, Carolyn Echter2, Juan Diego Urbina1, Caio Lewenkopf3, and Klaus Richter1 — 1Institut für Theoretische Physik Universität Regensburg, Regensburg, Germany — 2Fakultät für Mathematik, Universität Regensburg, 93040 Regensburg, Deutschland — 3Instituto de Física, Universidade Federal do Rio de Janeiro, 21941-972 Rio de Janeiro, RJ, Brazil
Many body systems with a large number of degrees of freedom are usually described by statistical physics on the theoretical side while experiments usually relay on scattering (e.g. particle physics). Is it possible to relate scattering and statistical physics, or to measure scattering-related observables which directly relate to quantities of statistical physics? At least for single particle systems a close relation exists between the well known Wigner-Smith delay time in scattering theory and the density of states of the scattering system.
I will present a novel ansatz relating a many-body version of dwell-/Wigner-Smith delay time and many body density of states based on the famous Birman-Krein-Friedel-Loyd formula connecting scattering theory and statistical observables in the many-body context. Due to the flexibility of this ansatz it can be used to investigate a wide variety of MB systems. I will discuss interesting scaling behaviors for different systems, like the harmonic trap[1] or the free particle together with the different behavior of bosons, fermions and indistinguishable particles.
[1] C. Echter et. al 2409.08696
Keywords: Wigner Smith time delay; Many body desity of states; Many body scattering; Thermodynamics