General relation between quantum ergodicity and fidelity of quantum dynamics.

@article{Prosen2002GeneralRB,
  title={General relation between quantum ergodicity and fidelity of quantum dynamics.},
  author={Tomaz Prosen},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2002},
  volume={65 3 Pt 2A},
  pages={036208}
}
  • Tomaz Prosen
  • Published 2002 in
    Physical review. E, Statistical, nonlinear, and…
A general relation is derived, which expresses the fidelity of quantum dynamics, measuring the stability of time evolution to small static variation in the Hamiltonian, in terms of ergodicity of an observable generating the perturbation as defined by its time correlation function. Fidelity for ergodic dynamics is predicted to decay exponentially on time scale proportional to delta(-2), delta approximately strength of perturbation, whereas faster, typically Gaussian decay on shorter time scale… CONTINUE READING
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