Generalized product formulas and quantum control
Anno: 2019
Autori: Burgarth D., Facchi P., Gramegna G., Pascazio S.
Affiliazione autori: 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.
Giornale/Rivista: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume: 52 (43) Da Pagina: 435301-1 A: 435301-22
Maggiori informazioni: We thank Kazuya Yuasa for discussions. PF, GG and SP are partially supported by Istituto Nazionale di Fisica Nucleare (INFN) through the project ´QUANTUM´. PF and GG are partially supported by the Italian National Group of Mathematical Physics (GNFM-INdAM).Parole chiavi: product formulas; quantum control; quantum Zeno dynamics; adiabatic theoremDOI: 10.1088/1751-8121/ab4403Citazioni: 4dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-04-21Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui