Dresden 2020 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 53: Poster: Quantum Dynamics, Chaos and Information; Many Body Systems
DY 53.18: Poster
Thursday, March 19, 2020, 15:00–18:00, P1A
Towards a numerical implementation of the Quench Action Approach — •Philipp Jaeger1,2, Andreas Klümper2, and Jesko Sirker1 — 1University of Manitoba, Department of Physics and Astronomy, Winnipeg, MB, Canada — 2Bergische Universität Wuppertal, Fachbereich C - Fachgruppe Physik, Wuppertal, Germany
In the framework of integrable models the Quench Action approach was developed in recent years. This formalism in principle allows to calculate intermediate-time dynamics exactly by considering certain infinitesimal excitations around the GGE, all belonging to the same macro-state. However it is notoriously difficult to determine the relevant states and to evaluate the integrals. So far, this method has proven very useful to calculate GGE states and their convergence behaviour to the sub-leading order.
The two main ingredients are a spectrum and a measure of entropy, which can in principle be obtained using exact diagonalization (ED). To determine the relevant excitations, the n-String states from Bethe Ansatz must be identified in the numerics. To that end, we must consider sufficiently large systems which makes the ED algorithm quite complicated.