New Results for Transition Probabilities in Two-Level Systems: The Large Detuning Regime,

Abstract

The problem of calculating transition probabilities in two-level systems is studied in the limit where the detuning is large compared to the inverse duration of the interaction. Within each family, transition probabilities may be calculated from formulae that differ only in the numerical value of a scaling parameter. In cases where the coupling function has a pole in the complex time plane, the families are identified with the order of this singularity. In particular, for poles of first order, a connection with the Rosen-Zenet solution can be made. The analysis is performed via high-order perturbation expansions, which are shown to always converge for two-level systems driven by coupling potentials of finite pulse area.

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Document Details

Document Type
Technical Report
Publication Date
Dec 07, 1982
Accession Number
ADA131783

Entities

People

  • E. J. Robinson
  • P. R. Berman

Organizations

  • New York University

Tags

DTIC Thesaurus Topics

  • Classification
  • Contracts
  • Equations
  • Governments
  • Instructions
  • Mathematics
  • New York
  • Organizational Structure
  • Probability
  • Resonance
  • Transitions

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Pulsed Power and Plasma Physics.