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Issue Eur. Phys. J. D
Volume 14, Number 2, May 2001
Coherent Control with Femtosecond Laser Pulses
Page(s) 147 - 155
DOI 10.1007/s100530170212



Eur. Phys. J. D 14, 147-155

General theory of population transfer by adiabatic rapid passage with intense, chirped laser pulses

V.S. Malinovsky and J.L. Krause

University of Florida, Quantum Theory Project, P.O. Box 118435, Gainesville, FL 32611-8435, USA

krause@qtp.ufl.edu

(Received 6 September 2000 and Received in final form 25 September 2000)

Abstract
We present a general theory of adiabatic rapid passage (ARP) with intense, linearly chirped laser pulses. For pulses with a Gaussian profile and a fixed bandwidth, we derive a rigorous formula for the maximum temporal chirp rate that can be sustained by the pulse. A modified Landau-Zener formula displays clearly the relationships among the pulse parameters. This formula is used to derive the optimal conditions for efficient, robust population transfer. As illustrations of the theory, we present results for two- and four-level systems, and selective vibronic excitation in the I2 molecule. We demonstrate that population transfer with chirped pulses is more robust and more selective than population transfer with transform-limited pulses.

PACS
33.80.-b - Photon interactions with molecules.
42.50.-p - Quantum optics.


© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2001


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