Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''

Details Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems'' Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''

2008-03-27

arxiv.org/abs/0803.3967v1

Nature Physics 4, 477 (2008) - supplementary info

Physics

Condensed Matter

Statistical Mechanics

11 pages, 6 figures. The current version of the main paper arXiv:0706.0212 is not up to date according to the Nature Physics e

Scientific paper

10.1038/nphys963

Here we give detailed derivations and provide additional examples to the main paper: arXiv:0706.0212. In particular, we discuss the scaling behavior of observables like correlation functions and density of excitations. We also analyze effects of nonintegrability of the Bose-Hubbard model on the long-time dynamics of the correlation functions. In addition we explicitly consider several interacting models, where we are able to analyze slow dynamics and classify it according to the regimes suggested in the main paper.

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