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

Roberto Grimaudo, Antonino Messina, Roberto Grimaudo, Takayuki Suzuki, Hiromichi Nakazato, Antonino Messina

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)17433-
Number of pages7
JournalScientific Reports
Volume8
Publication statusPublished - 2018

All Science Journal Classification (ASJC) codes

  • General

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