Two-level adiabatic transition probability for small avoided crossings generated by tangential intersections

Autor:	Higuchi, Kenta, Watanabe, Takuya
Rok vydání:	2024
Předmět:	Mathematical Physics Mathematics - Classical Analysis and ODEs Quantum Physics Primary 81Q20 Secondary 34E20 35B40 35Q40
Druh dokumentu:	Working Paper
Popis:	In this paper, the asymptotic behaviors of the transition probability for two-level avoided crossings are studied under the limit where two parameters (adiabatic parameter and energy gap parameter) tend to zero. This is a continuation of our previous works where avoided crossings are generated by tangential intersections and obey a non-adiabatic regime. The main results elucidate not only the asymptotic expansion of transition probability but also a quantum interference caused by several avoided crossings and a coexistence of two-parameter regimes arising from different vanishing orders. Comment: 34 pages, 7 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.17777 Zobrazit plný text záznamu View this record from Arxiv