SKM 2023 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 55: Dynamics and Chaos in Many-Body Systems II (joint session DY/TT)

DY 55.4: Vortrag

Freitag, 31. März 2023, 10:15–10:30, MOL 213

Many-Body Dwell-time and Density of States — •Georg Maier, Carolyn Echter, Juan-Diego Urbina, and Klaus Richter — Universität Regensburg, Regensburg, Germany

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 observales in the many-body context. This formalism could provide answers to a wide variety of interesting questions, e.g. can we observe the effect of interactions (or even the emergence of chaos) through the lens of the dwell-time? Another interesting point is the roll of particle statistics on dwell-time meaning e.g. does it take longer for a particle to leave a fermionic or bosonic system?. I will present our analytical and numerical results on these questions.