@article{TrotzkyChenFleschetal.2012, author = {Trotzky, S. and Chen, Y-A. and Flesch, A. and McCulloch, I. P. and Schollw{\"o}ck, U. and Eisert, J. and Bloch, I.}, title = {Probing the relaxation towards equilibrium in an isolated strongly correlated one-dimensional Bose gas}, series = {Nature physics}, volume = {8}, journal = {Nature physics}, number = {4}, publisher = {Nature Publ. Group}, address = {London}, issn = {1745-2473}, doi = {10.1038/NPHYS2232}, pages = {325 -- 330}, year = {2012}, abstract = {The problem of how complex quantum systems eventually come to rest lies at the heart of statistical mechanics. The maximum-entropy principle describes which quantum states can be expected in equilibrium, but not how closed quantum many-body systems dynamically equilibrate. Here, we report the experimental observation of the non-equilibrium dynamics of a density wave of ultracold bosonic atoms in an optical lattice in the regime of strong correlations. Using an optical superlattice, we follow its dynamics in terms of quasi-local densities, currents and coherences-all showing a fast relaxation towards equilibrium values. Numerical calculations based on matrix-product states are in an excellent quantitative agreement with the experimental data. The system fulfills the promise of being a dynamical quantum simulator, in that the controlled dynamics runs for longer times than present classical algorithms can keep track of.}, language = {en} }