Coherent excitation of two-state system by a Lorentzian filed

G. S. Vasilev; N. V. Vitanov

Coherent excitation of two-state system by a Lorentzian filed

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arxiv 1402.5119 v1 pith:BCSZYGV7 submitted 2014-02-20 quant-ph

G. S. Vasilev , N. V. Vitanov This is my paper · ORCID

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keywords analyticapproximationcoherentderivedexcitationfrequencylorentzianprobability

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This work presents an analytic description of the coherent excitation of a two-state quantum system by an external field with a Lorentzian temporal shape and a constant frequency. An exact analytical solution for the differential equation of the model is derived in terms of Confluent Heun functions. Also a very accurate analytic approximation to the transition probability is derived by using the Dykhne-Davis-Pechukas approach. This approximation provides analytic expressions for the frequency and amplitude of the probability oscillations.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

DRAG-Compatible Leakage Suppression in Landau--Zener Control via Isoprobability Twins
quant-ph 2025-06 reject novelty 4.0 of 10

Pulse pairs generated from the same Stückelberg function produce identical post-pulse transition probabilities, demonstrated on IBM hardware, but the abstract's DRAG leakage reduction claim is absent from the body.

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