ArticleScientific reports2018
Analytic estimation of transition between instantaneous eigenstates of quantum two-level system.
Article in Scientific reports, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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5 citing papers in PubMed.
- On the geometric phase effects on time evolution of the density matrix during modulated radiofrequency pulses.Journal of magnetic resonance (San Diego, Calif. : 1997) · 2025Article
- On the geometric phases during radio frequency pulses with sine and cosine amplitude and frequency modulation.AIP advances · 2023Article
- Invariant-Parameterized Exact Evolution Operator forEntropy (Basel, Switzerland) · 2023Article
- Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature.Entropy (Basel, Switzerland) · 2021Article
- Quantum Correlation Dynamics in Controlled Two-Coupled-Qubit Systems.Entropy (Basel, Switzerland) · 2020Article
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4 authors.
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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.
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