Behaviour of large eigenvalues for the asymmetric quantum Rabi model-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Behaviour of large eigenvalues for the asymmetric quantum Rabi model

Published:2023-11-15 Issue: Volume: Page:1-26
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Charif Mirna¹²,Fino Ahmad³,Zielinski Lech¹

Affiliation:

1. LMPA Joseph Liouville, UR 2597, Université du Littoral Côte d’Opale, F-62228 Calais, France

2. Faculty of Sciences, Department of Mathematics, Lebanese University, P.O. Box 826 Tripoli, Lebanon

3. College of Engineering and Technology, American University of the Middle East, Kuwait

Abstract

We prove that the spectrum of the asymmetric quantum Rabi model consists of two eigenvalue sequences ( E m + ) m = 0 ∞ , ( E m − ) m = 0 ∞ , satisfying a two-term asymptotic formula with error estimate of the form O ( m − 1 / 4 ), when m tends to infinity.

Publisher

IOS Press

Subject

General Mathematics

Reference22 articles.

1. Behaviour of large eigenvalues for two-photon asymmetric Rabi models;Boutet de Monvel;St. Petersburg Mathematical Journal: Algebra i Analiz,2023

2. Eigenvalue asymptotics of a modified Jaynes–Cummings model with periodic modulations;Boutet de Monvel;C. R., Math., Acad. Sci. Paris,2004

3. The asymptotic behaviour of eigenvalues of a modified Jaynes–Cummings model;Boutet de Monvel;Asymptot. Anal.,2006

4. Asymptotic behaviour of large eigenvalues for Jaynes–Cummings type models;Boutet de Monvel;J. Spectr. Theory,2017

5. Oscillatory Behavior of Large Eigenvalues in Quantum Rabi Models

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP