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Bounds to unitary evolution

Andrews, Mark


Upper and lower bounds are established for the survival probability ∣⟨ψ(0)∣ψ(t)⟩∣2 of a quantum state, in terms of the energy moments ⟨ψ(0)∣Hn∣ψ(0)⟩. Introducing a cutoff 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.

CollectionsANU Research Publications
Date published: 2007-06-21
Type: Journal article
Source: Physical Review A: Atomic, Molecular and Optical Physics
DOI: 10.1103/PhysRevA.75.062112


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