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High-Order Approximation to Two-Level Systems with Quasiresonant Control
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-06
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this paper, we focus on high-order approximate solutions to two-level systems with quasi-resonant control.
Firstly, we develop a high-order renormalization group (RG) method for Schrödinger equations.
By this method, we get the high-order RG approximate solution in both resonance case and out of resonance case directly.
Secondly, we introduce a time transformation to avoid the invalid expansion and get the high-order RG approximate solution in near resonance case.
Finally, some numerical simulations are presented to illustrate the effectiveness of our RG method.
We aim to provide a mathematically rigorous framework for mathematicians and physicists to analyze the high-order approximate solutions of quasi-resonant control problems.
American Psychological Association (APA)
Wang, Lin& Zu, Jian. 2020. High-Order Approximation to Two-Level Systems with Quasiresonant Control. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1127327
Modern Language Association (MLA)
Wang, Lin& Zu, Jian. High-Order Approximation to Two-Level Systems with Quasiresonant Control. Advances in Mathematical Physics No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1127327
American Medical Association (AMA)
Wang, Lin& Zu, Jian. High-Order Approximation to Two-Level Systems with Quasiresonant Control. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1127327
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127327