Transition amplitudes between instantaneous eigenstates of a quantum two-level system are evaluated analytically on the basis of a new parametrization of its evolution operator, which has recently been proposed to construct exact solutions. In particular, the condition under which the transitions are suppressed is examined analytically. It is shown that the analytic expression of the transition amplitude enables us, not only to confirm the adiabatic theorem, but also to derive the necessary and sufficient condition for quantum two-level system to remain in one of the instantaneous eigenstates.

Suzuki, T., Nakazato, H., Grimaudo, R., & Messina, A. (2018). Analytic estimation of transition between instantaneous eigenstates of quantum two-level system. SCIENTIFIC REPORTS, 8(1), 17433 [10.1038/s41598-018-35741-5].

Analytic estimation of transition between instantaneous eigenstates of quantum two-level system

Grimaudo, Roberto;Messina, Antonino
2018

Abstract

Transition amplitudes between instantaneous eigenstates of a quantum two-level system are evaluated analytically on the basis of a new parametrization of its evolution operator, which has recently been proposed to construct exact solutions. In particular, the condition under which the transitions are suppressed is examined analytically. It is shown that the analytic expression of the transition amplitude enables us, not only to confirm the adiabatic theorem, but also to derive the necessary and sufficient condition for quantum two-level system to remain in one of the instantaneous eigenstates.
www.nature.com/srep/index.html
Suzuki, T., Nakazato, H., Grimaudo, R., & Messina, A. (2018). Analytic estimation of transition between instantaneous eigenstates of quantum two-level system. SCIENTIFIC REPORTS, 8(1), 17433 [10.1038/s41598-018-35741-5].
File in questo prodotto:
File Dimensione Formato  
s41598-018-35741-5.pdf

accesso aperto

Descrizione: Articolo Principale
Tipologia: Versione Editoriale
Dimensione 2.4 MB
Formato Adobe PDF
2.4 MB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/328446
Citazioni
  • ???jsp.display-item.citation.pmc??? 2
  • Scopus 6
  • ???jsp.display-item.citation.isi??? 8
social impact