Three-state quantum systems: A procedure for the solution

Emilio Fiordilino, Fabio Bagarello, Bagarello, Fiordilino

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Abstract

An iterative method to obtain a solution of the differential equation Mathematical expression, with Ĥ a 3×3 Hermitian matrix and a the unknown vector, is proposed. The procedure is particularly suitable for computer implementation and, as an example, has been applied to find the excitation probability of a three-level atom after the synchronous passage of two laser pulses each almost resonant with a pair of atomic levels. © 1989 Società Italiana di Fisica.
Lingua originaleEnglish
pagine (da-a)405-418
Numero di pagine14
RivistaNUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. D CONDENSED MATTER, ATOMIC, MOLECULAR AND CHEMICAL PHYSICS, BIOPHYSICS
Volume11
Stato di pubblicazionePublished - 1989

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differential equations
pulses
excitation
lasers
atoms

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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title = "Three-state quantum systems: A procedure for the solution",
abstract = "An iterative method to obtain a solution of the differential equation Mathematical expression, with Ĥ a 3×3 Hermitian matrix and a the unknown vector, is proposed. The procedure is particularly suitable for computer implementation and, as an example, has been applied to find the excitation probability of a three-level atom after the synchronous passage of two laser pulses each almost resonant with a pair of atomic levels. {\circledC} 1989 Societ{\`a} Italiana di Fisica.",
author = "Emilio Fiordilino and Fabio Bagarello and Bagarello and Fiordilino",
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AU - Bagarello, Fabio

AU - Bagarello, null

AU - Fiordilino, null

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AB - An iterative method to obtain a solution of the differential equation Mathematical expression, with Ĥ a 3×3 Hermitian matrix and a the unknown vector, is proposed. The procedure is particularly suitable for computer implementation and, as an example, has been applied to find the excitation probability of a three-level atom after the synchronous passage of two laser pulses each almost resonant with a pair of atomic levels. © 1989 Società Italiana di Fisica.

UR - http://hdl.handle.net/10447/198427

M3 - Article

VL - 11

SP - 405

EP - 418

JO - Nuovo Cimento della Societa Italiana di Fisica D - Condensed Matter, Atomic, Molecular and Chemical Physics, Biophysics

JF - Nuovo Cimento della Societa Italiana di Fisica D - Condensed Matter, Atomic, Molecular and Chemical Physics, Biophysics

SN - 0392-6737

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