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Bounds to unitary evolution

Date

Authors

Andrews, Mark

Publisher

American Physical Society

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.

Keywords

Keywords: Energy transfer; Momentum transfer; Energy moments; Unitary evolution; Ground state

Citation

Physical Review A 75.6 (2007): 062112/1-5

URI

http://hdl.handle.net/10440/1015
http://digitalcollections.anu.edu.au/handle/10440/1015

Collections

ANU Research Publications

Source

Physical Review A: Atomic, Molecular and Optical Physics

Type

Journal article

DOI

10.1103/PhysRevA.75.062112

Downloads

File

Description

Andrews_Bounds2007.pdf (143.17 KB)