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On pulse-induced transition amplitudes in a two-state quantum system without level crossings
KTH, Superseded Departments, Mechanics.ORCID iD: 0000-0003-0149-341X
2002 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, E-ISSN 1361-6447, Vol. 35, no 34, 7507-7523 p.Article in journal (Refereed) Published
Abstract [en]

An exact dynamical parametrization of pulse-induced transition amplitudes in a Rosen-Zener- or Nikitin-type two-level system is constructed. The three dynamical parameters are closely related to the shape of the interaction pulse and are convenient to calculate. The Milne equation with a complex coefficient function is essential for these calculations. Its complex solution is non-oscillatory and makes the computation of transition probabilities efficient. The paper reviews the quantum calculations for the rectangular pulse, which has well-defined duration and strength. By comparing transition matrix elements from a rectangular pulse with those of a general symmetric pulse, we introduce effective strength and effective duration for a general pulse. It is also possible to define an equivalent rectangular pulse, with respect to the transition probabilities, for each general pulse.

Place, publisher, year, edition, pages
2002. Vol. 35, no 34, 7507-7523 p.
Keyword [en]
nonadiabatic transitions, probability
Identifiers
URN: urn:nbn:se:kth:diva-21917ISI: 000178142400018OAI: oai:DiVA.org:kth-21917DiVA: diva2:340615
Note
QC 20100525Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2017-12-12Bibliographically approved

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Thylwe, Karl-Erik

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