Majorana Representation for the Mutilevel Adiabatic-impluse Model

IF 1.3 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY

International Journal of Theoretical Physics Pub Date : 2024-12-23 DOI:10.1007/s10773-024-05849-8

Z. Y. Wang, A. X. Xie, H. D. Liu

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引用次数: 0

Abstract

The Landau-Zener-Stückelberg-Majorana (LZSM) transition, which denotes the transition between energy levels at an avoided crossing, has drawn much attention since it was first studied by Landau, Zener, Stückelberg and Majorana in 1932. It has been studied for many years while it is still worthwhile to be studied. In this work, we study the dynamics and stokes phase in multi-level LZSM transition. We reviewed the method given by Zener and Majorana. By comparing the method given by Zener and Majorana in the simulation of the two-level and three-level system’s transition probability, we verified the validity of the adiabatic-impulse model. Then we derive the transition matrix for the multi-level system to predict the multi-level system’s transition probability and Stokes phase and consequently give out the simulation of transition probability and Stokes phase associated with these multi-level transitions. Our results provide a method to study multi-level LZSM interferometry and applications in studying the parameters of multilevel systems.

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来源期刊

International Journal of Theoretical Physics 物理-物理：综合

CiteScore

2.50

自引率

21.40%

发文量

258

审稿时长

3.3 months

期刊介绍： International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.