第二个德姆科夫-库尼克水平跨越模型的非对称版本

IF 1 Q4 OPTICS

Optical Memory and Neural Networks Pub Date : 2024-01-30 DOI:10.3103/s1060992x23070093

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

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引用次数: 0

摘要

摘要我们提出了一种新颖的随时间变化的双态模型，它描述了一种恒定振幅的电平交叉场配置，其中频率失谐在有限区间内变化。这种配置的一个显著特点是共振交叉总是在时间上不对称地发生，这使它成为第二个 Demkov-Kunike 模型的不对称版本。问题的一般解可以用高斯超几何函数的两个独立不可还原线性组合来表示。我们用相应的准能量分析了解的渐近线，并计算了系统从第一个准能量状态开始时的最终过渡概率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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

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.

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来源期刊

Optical Memory and Neural Networks OPTICS-

CiteScore

1.50

自引率

11.10%

发文量

期刊介绍： The journal covers a wide range of issues in information optics such as optical memory, mechanisms for optical data recording and processing, photosensitive materials, optical, optoelectronic and holographic nanostructures, and many other related topics. Papers on memory systems using holographic and biological structures and concepts of brain operation are also included. The journal pays particular attention to research in the field of neural net systems that may lead to a new generation of computional technologies by endowing them with intelligence.