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Optical Memory and Neural Networks
Published in: Optical Memory and Neural Networks 3/2023

01-12-2023

Asymmetric Version of the Second Demkov–Kunike Level-Crossing Model

Authors: A. M. Ishkhanyan, T. A. Shahverdyan, A. M. Ghazaryan

Published in: Optical Memory and Neural Networks | Special Issue 3/2023

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Abstract

We present a novel time-dependent two-state model that describes a constant-amplitude level-crossing field configuration, where the frequency detuning varies within a finite interval. A distinctive feature of this configuration is that the resonance crossing always occurs asymmetrically in time, making it an asymmetric version of the second Demkov-Kunike model. The general solution of the problem is expressed in terms of two independent irreducible linear combinations of the Gauss hypergeometric functions. We analyze the asymptotes of the solution in terms of corresponding quasi-energies and calculate the final transition probability in the case when the system starts from the first quasi-energy state.
previous article Long-Wavelength Optics of a Pair-Interacting Electron Gas in a Lens-Shaped Quantum Dot: Two-Dimensional Moshinsky Model
next article Mirrorless Lasing: A Theoretical Perspective

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Metadata
Title
Asymmetric Version of the Second Demkov–Kunike Level-Crossing Model
Authors
A. M. Ishkhanyan
T. A. Shahverdyan
A. M. Ghazaryan
Publication date
01-12-2023
Publisher
Pleiades Publishing
Published in
Optical Memory and Neural Networks / Issue Special Issue 3/2023
Print ISSN: 1060-992X
Electronic ISSN: 1934-7898
DOI
https://doi.org/10.3103/S1060992X23070093

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