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Dynamics of a two-state system through a real level crossing

机译:通过实物平交的二态系统动力学

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摘要

The dynamics of a two-state system whose energies undergo a real crossing at some instant of time is studied. At this instant, both the coupling and the detuning vanish simultaneously, which leads to an exact degeneracy of the eigenenergies of the system. It is found that the dynamics of the system is primarily determined by the manner in which the degeneracy occurs. This interesting behavior is reminiscent of a symmetry-breaking process, since the totally symmetric situation occurring at the crossing is significantly altered by infinitesimal quantities, which remove the degeneracy, with very important dynamical implications from there on. A very simple analytical formula is derived, which is found to describe the population changes very accurately.
机译:研究了能量在某个瞬间经历真实穿越的两态系统的动力学。此时,耦合和失谐同时消失,这导致系统本征能的精确退化。发现系统的动力学主要由简并性发生的方式决定。这种有趣的行为使人想起了对称性破坏过程,因为在交叉处发生的完全对称情况被无穷小数量显着改变,从而消除了简并性,并由此产生了非常重要的动力学意义。导出了一个非常简单的分析公式,该公式可以非常准确地描述人口变化。

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  • 作者

    Militello, B.; Vitanov, N.;

  • 作者单位
  • 年度 2015
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  • 原文格式 PDF
  • 正文语种 eng
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