Regensburg 2019 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 7: Dynamics in many-body systems: Equilibration and localization I (joint session DY/TT)

TT 7.5: Talk

Monday, April 1, 2019, 11:00–11:15, H19

Bounds on equilibration time scales — •Robin Heveling, Lars Knipschild, and Jochen Gemmer — University of Osnabrueck, Osnabrueck, Germany

We consider closed quantum systems consisting of a single system-spin and a spin-bath. Starting from a product state of a microcanonical bath at some energy and a fully aligned system-spin, equilibration time scales of the magnetization are calculated for various coupling strengths. The paper PRX 7, 031027 (2017) conjectures a relation between short time behaviour and long equilibration time scales. We probe this conjecture. For small couplings, we find exponential relaxation to an equilibrium value. The exponential nature of the decay may break down at some point when decreasing the coupling strength.