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Localization condition for two-level systems

1995/09/14 by Hu Cheng, Mo‐Lin Ge, Cheng, Hu +4
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Mechanical and Optical Resonators #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9509082

Preprint ( reprint ) of Nankai Institute of Mathematics. For hard copy, write to Prof. Mo-lin GE directly. Do not send emails to this computer account please

arxiv created 1995/09/14 · openalex publication_date 1995/09/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The dynamics of two-level systems in an external periodic field are investigated in general. The necessary conditions of localization are obtained through analysing the time-evolving matrix. It is found that localization is possible if not only is the dynamics of the system periodic, but also its period is the same as that of the external potential. A model system in a periodic δ-function potential is studied thoroughly.

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