Generalized product formulas and quantum control
Authors: Burgarth D., Facchi P., Gramegna G., Pascazio S.
Autors Affiliation: Macquarie Univ, Dept Phys & Astron, N Ryde, NSW 2109, Australia; Univ Bari, Dipartimento Fis, I-70126 Bari, Italy; Univ Bari, MECENAS, I-70126 Bari, Italy; INFN, Sez Bari, I-70126 Bari, Italy; CNR, INO, I-50125 Florence, Italy
Abstract: We study the quantum evolution under the combined action of the exponentials of two not necessarily commuting operators. We consider the limit in which the two evolutions alternate at infinite frequency. This case appears in a plethora of situations, both in physics (Feynman integral) and mathematics (product formulas). We focus on the case in which the two evolution times are scaled differently in the limit and generalize standard techniques and results.
Journal/Review: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume: 52 (43) Pages from: 435301-1 to: 435301-22
KeyWords: product formulas; quantum control; quantum Zeno dynamics; adiabatic theoremDOI: 10.1088/1751-8121/ab4403Citations: 2data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2021-10-17References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here