沿曲线平行输运非完整性的非厄米哈密顿演化的几何相位
Geometric phase for non-Hermitian Hamiltonian evolution as anholonomy of a parallel transport along a curve
摘要：
我们开发了一个新的解释的几何相位在进化与非厄米实值哈密顿量有关的角度发展过程中的平行运输沿一个封闭的曲线由一个单位矢量三元组在三维Minkovsky空间。我们还表明，这种几何相位是负责的非完整性的随机过程中考虑的[N。A.西尼岑和我。Nemenman，EPL { \bf 77}，58001（2007）]，并使用它来导出对周期性参数变化的随机系统响应。
英文摘要：
We develop a new interpretation of the geometric phase in evolution with a non-Hermitian real value Hamiltonian by relating it to the angle developed during the parallel transport along a closed curve by a unit vector triad in the 3D-Minkovsky space. We also show that this geometric phase is responsible for the anholonomy effects in stochastic processes considered in [N. A. Sinitsyn and I. Nemenman, EPL {\bf 77}, 58001 (2007)], and use it to derive the stochastic system response to periodic parameter variations.
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