Dresden 2017 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 61: Posters - Quantum Systems

DY 61.8: Poster

Donnerstag, 23. März 2017, 17:00–19:30, P1A

Semi-Classics in many-body spin chains — Maram Akila, •Daniel Waltner, Boris Gutkin, Petr Braun, and Thomas Guhr — Fakultät für Physik, Universität Duisburg-Essen, Lotharstraße 1, 47048 Duisburg

Recently, we discovered an exact trace duality for kicked, one dimensional spin chains. It expresses traces of the unitary evolution operator for N spins and T time-steps by traces of an operator whose dimension is determined by T instead of N. This simplification allows us to address large spin systems at practically arbitrary N. With this at hand, we can perform a semi-classical analysis of a many-body system, determining (action-)spectra and their correspondence to classical periodic orbits. In this initial study we illustrate challenges of mixed classical dynamics, the exponential orbit count proliferation with N, and possible pathways to overcome these obstacles.