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RESEARCH PRODUCT
Analytic estimation of transition between instantaneous eigenstates of quantum two-level system
Hiromichi NakazatoTakayuki SuzukiAntonino MessinaRoberto Grimaudosubject
PhysicsQuantum PhysicsMultidisciplinaryBasis (linear algebra)Transition (fiction)Operator (physics)lcsh:Rlcsh:MedicineFOS: Physical sciences01 natural sciencesArticle010305 fluids & plasmasAdiabatic theoremAmplitude0103 physical scienceslcsh:Q010306 general physicslcsh:ScienceQuantum Physics (quant-ph)ParametrizationQuantumEigenvalues and eigenvectorsMathematical physicsdescription
AbstractTransition 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-11-01 |