Dynamical typicality for initial states with a preset measurement statistics of several commuting observables

@article{Balz2018DynamicalTF,
  title={Dynamical typicality for initial states with a preset measurement statistics of several commuting observables},
  author={Ben N Balz and Johannes Richter and Jochen Gemmer and Robin Steinigeweg and Peter Reimann},
  journal={arXiv: Statistical Mechanics},
  year={2018}
}
We consider all pure or mixed states of a quantum many-body system which exhibit the same, arbitrary but fixed measurement outcome statistics for several commuting observables. Taking those states as initial conditions, which are then propagated by the pertinent Schrodinger or von Neumann equation up to some later time point, and invoking a few additional, fairly weak and realistic assumptions, we show that most of them still entail very similar expectation values for any given observable. This… 

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