Bounds to unitary evolution

Details Bounds to unitary evolution Bounds to unitary evolution

2007-05-13

arxiv.org/abs/0705.1823v1

Physics

Quantum Physics

5 pages, 8 figures

Scientific paper

10.1103/PhysRevA.75.062112

Upper and lower bounds are established for the survival probability
$|<\psi(0)|\psi(t)>|^{2}$ of a quantum state, in terms of the energy moments
$<\psi(0)|H^{n}|\psi(0)>$. Introducing a cut-off in the energy generally
enables considerable improvement in these bounds and allows the method to be
used where the exact energy moments do not exist.

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