Dresden 2014 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 22: Statistical Physics (general)

DY 22.5: Talk

Wednesday, April 2, 2014, 16:00–16:15, ZEU 160

Signatures of Symmetry Classes in the Many-Body Transition Amplitude in Fock Space — •Thomas Engl, Juan Diego Urbina, and Klaus Richter — Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany

The Bohigas-Giannoni-Schmit (BGS) conjecture states that the energy levels of a single-particle quantum system with classically chaotic counterpart shows the same statistics as that of a Gaussian random matrix satisfying certain symmetries. Semiclassical methods based on the van Vleck-Gutzwiller propagator are able to capture quantum interference effects, and provide a natural route to confirm this conjecture [1]. Therefore, universal effects depending merely on the symmetry class of the described system can be semiclassically understood.
Recently, a semiclassical propagator in Fock space has been derived [2] that accounts for quantum interference in bosonic many body systems. Here we extend this work to interacting fermionic systems and investigate the transition amplitude in Fock space as an indicator of different universality classes. Amongst others, we find an analog of antilocalization for the Gaussian symplectic ensemble corresponding to time reversal invariant spin-1/2 systems.

S. Müller, S.  Heusler, A. Altland, P. Braun and F. Haake, New Journal of Physics 11 103025 (2009)
T. as Engl, J. Dujardin, A. Argüelles, P. Schlagheck, K. Richter and J. D. Urbina, arXiv:1306.3169