Berlin 2014 – scientific programme

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A: Fachverband Atomphysik

A 36: Ultra-cold atoms, ions and BEC IV (with Q)

A 36.8: Talk

Thursday, March 20, 2014, 12:15–12:30, BEBEL E34

Noise driven transition in nonlinear lattices — •Alexandru Nicolin and Mihaela Carina Raportaru — Horia Hulubei National Institute of Physics and Nuclear Engineering (IFIN-HH), Reactorului 30, Magurele, Romania

The classical Fermi-Pasta-Ulam problem is considered in the context of stochastic stability to show that spatially periodic states that are Lyapunov stable are unstable with respect to stochastic perturbations. We present detailed numerical simulations to show the collapse of the periodic states onto the fundamental states due to stochastic perturbations. Our results are directly relevant for Bose-Einstein condensates loaded into optical lattices where such periodic states have already been realised experimentally and their stability with respect to the interaction with the thermal cloud is yet uncharted territory.