J. Sirker, N. P. Konstantinidis, N. Sedlmayr
We study the non-equilibrium dynamics of observables for finite one-dimensional quantum systems. By calculating the dependence of time and statistical averages on system size we investigate the role of the local and the exponentially many non-local conserved quantities for thermalization. We derive, in particular, a Mazur-type equality to split observables into a local and a non-local part. For an initial state distribution which is not narrow in energy, so that the eigenstate thermalization hypothesis cannot hold, we then demonstrate that oscillations in the non-local part are, in general, responsible for thermalization while the time and statistical ensemble averages for the local part are identical due to energy conservation.
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http://arxiv.org/abs/1303.3064
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