Generalized product formulas and quantum control. (1st October 2019)

• Record Type: Journal Article
• Authors: Burgarth, Daniel; Facchi, Paolo; Gramegna, Giovanni; Pascazio, Saverio
• Is Part Of: Journal of physics. Volume 52:Number 43(2019)
• Publication Date: 2019-10-01
• Subjects: product formulas -- quantum control -- quantum Zeno dynamics -- adiabatic theorem; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/ab4403
• Languages: English
• ISSNs: 1751-8113

Abstract

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.