IJPAM: Volume 100, No. 2 (2015)

TRANSIENT SPECTRUM OF
$\sin^{2}$-PULSED-DRIVEN QUBIT

R.A. Alharbey
Department of Mathematics
Faculty of Science
King AbdulAziz University
Jeddah, KINGDOM OF SAUDI ARABIA


Abstract. The model of a non-dissipative qubit (taken as a single 2-level atom) coupled to a short resonant laser pulse of $\sin^{2}$-shape is investigated through the transient fluorescent spectrum. Exact analytical operator solutions for the model Heisenberg equations are utilised to calculate the spectrum in terms of Bessel functions. Asymmetry and ringing in the 3-peak spectrum with strong Rabi frequency are pronounced with initial atomic coherent state as compared with the ground state case. This is due to interference of the sequential-pulse structure of the $\sin^{2}$-pulse with the initial dispersive coherence. For moderate Rabi frequency, ringing disappears with ' hole burning' dip shown in the dominant central Lorentzian peak.

Received: August 12, 2014

AMS Subject Classification:

Key Words and Phrases: driven qubit, $\sin^{2}$-pulse, scattered spectrum

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DOI: 10.12732/ijpam.v100i2.3 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 100
Issue: 2
Pages: 193 - 209


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