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DY: Fachverband Dynamik und Statistische Physik

DY 22: Statistical Physics (general)

DY 22.9: Talk

Wednesday, March 13, 2013, 17:30–17:45, H48

Chaoticity and thermalization in the mean-field disordered Bose-Hubbard model — •Olivier Tieleman¹, Charalampos Skokos^1,2, and Achilleas Lazarides¹ — ¹Max Planck Institute for the Physics of Complex Systems, Dresden, Germany — ²Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, Greece

We study chaoticity and thermalization in the mean-field disordered Bose-Hubbard model. A symplectic integration method allows us to obtain both full trajectories through phase space and maximum Lyapunov exponents, characterizing the chaoticity of the trajectory. We then compare long-time averages of some observables to thermal expectation values and study how the system approaches a thermal state, testing the hypothesis that the ergodicity of trajectories through phase space is closely linked to their chaoticity.