https://doi.org/10.1140/epjd/s10053-025-00986-z
Regular Article - Atomic Physics
The non-adiabatic sub-geometric phase and its application on quantum transition
School of Physical Sciences, University of Chinese Academy of Sciences, 100049, Beijing, China
Received:
10
June
2024
Accepted:
17
March
2025
Published online:
11
April
2025
Based on the adiabatic sub-geometric phase proposed for density matrix (Wang in Sci. Rep. 9: 13258, 2019), we further extend it to the non-adiabatic case. It is found that both the real and imaginary parts of the sub-geometric phase can play an important role in quantum transition. The imaginary part of sub-geometric phase can deviate the resonance peak in the quantum transition, and bring modification on the level crossing, while the real part of sub-geometric phase will determine the stability of initial state according to the linear stability analysis theory, which can be regarded as somewhat complement to the selection rule of quantum transition. Finally, we illustrate them by two examples: one is the system with time-dependent perturbation, another is a two-level system. It indicates that both the real and imaginary parts of sub-geometric phase have influences on the quantum transition.
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Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
