Bounds to unitary evolution
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.
|Collections||ANU Research Publications|
|Source:||Physical Review A: Atomic, Molecular and Optical Physics|
|Andrews_Bounds2007.pdf||143.17 kB||Adobe PDF|
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