Dresden 2026 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 53: Many-body Quantum Dynamics II (joint session DY/TT)
DY 53.1: Talk
Thursday, March 12, 2026, 15:00–15:15, HÜL/S186
general framework for understanding and modeling irreversibility: relaxator Liouville dynamics — •Martin Janßen and Janos Hajdu — Institut für Theoretische Physik, Universität zu Köln, Zülpicher Str. 77, 50937 Köln, Germany
Irreversibility is explained as an emergent phenomenon brought about by a separation between two characteristic time scales: the time ts up to which relevant degrees of freedom of a system are tracked is extremely much shorter than the spectral resolution time te necessary to resolve the spectrum of all degrees of freedom involved. A relaxator that breaks reversibility condenses in the Liouville operator of the relevant degrees of freedom. The irrelevant degrees of freedom act as an environment. The relaxator Liouville equation is a most general equation of motion in a many body quantum system and contains memory effects and initial correlations of all degrees of freedom, generalizing the well known semi-group dynamics. Stationary states turn out to be generically unique and independent of the initial conditions and exceptions are due to degeneracies. Equilibrium states lie in the relaxator’s kernel yielding a stationary Pauli master equation and a non negative entropy production rate is identified. Kinetic equations for one-particle densities are constructed as special cases and Kubo’s linear response theory is generalized to relaxator Liouville dynamics. In weak coupling between system and environment the relaxator can be factorized in environmental correlations and bilinear system operators.
Keywords: irreversibility; non-equilibrium; relaxation; non-Markovian quantum master; linear response