Bounds to unitary evolution

Mark Andrews*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    15 Citations (Scopus)

    Abstract

    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.

    Original languageEnglish
    Article number062112
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume75
    Issue number6
    DOIs
    Publication statusPublished - 21 Jun 2007

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