Semi-Classics for Spin Chains
December 13, 2016 - 3:00pm to 4:00pm
Willkommen an der Universität Duisburg-Essen
School of Physics Nonlinear Physics Seminar: Maram Akila, Willkommen an der Universität Duisburg-Essen
In the limit of small h-bar, e.g. short wavelengths, the Gutzwiller trace formula relates the quantum mechanical spectrum and the periodic orbits of the classical system (and vice versa). For systems with few degrees of freedom this semi-classical connection is well understood and used. For many-body systems, however, one faces additional challenges.
On the quantum side the exponential growth of the Hilbert space prohibits direct calculations of the spectrum while on the classical side the system usually possesses both significantly more and more complicated periodic orbits. For kicked spin chains we present a duality relation which, for short times, circumvents the problems on the quantum side and allows us to demonstrate how simple structured, collective orbits can have a strong influence on the spectrum.